Professor Andrew McBride

  • Professor of Computational Mechanics (Infrastructure & Environment)

email: Andrew.McBride@glasgow.ac.uk

Room 726, Rankine Building, Oakfield Avenue, G12 8LT

Import to contacts

ORCID iDhttps://orcid.org/0000-0001-7153-3777

Biography

I graduated with a BSc in Civil Engineering from the University of Cape Town (UCT) in 1998. I completed my MSc in the Centre for Research in Computational and Applied Mechanics (CERECAM) in 2000. After working for a year as a civil engineer, I returned to UCT as a researcher in the Centre for Minerals Research developing and validating numerical models for granular flow. In 2004, I began a PhD under Daya Reddy (CERECAM). My PhD investigated finite element formulations for non-classical models of plasticity developed to capture scale effects. After graduating in 2008, I continued in CERECAM as a research officer.

I began my post-doctoral studies in 2010 with Paul Steinmann at the Chair of Applied Mechanics, Friedrich-Alexander University Erlangen-Nuremberg. The focus of my research was on non-classical models of diffusion, mechanics of surfaces and interfaces, and homogenization. 

I returned to Cape Town in 2012 as a senior researcher in CERECAM. 

I started as a Senior Lecturer at the University of Glasgow in January 2016. Since 2021, I have been a Professor of Computational Mechanics. 

I head the Infrastructure & Environment Research Division and chair the Engineering Growth Estates Group. I'm also the deputy director of the Glasgow Computational Engineering Centre (GCEC) and Associate Head of the James Watt School of Engineering. 

Research interests

My research interests are in the broad area of Computational Mechanics. I aim to deliver insights into challenging scientific and engineering problems using numerical modelling. Of particular interest is the simulation of complex materials at different length scales. This will often involves accounting for coupled physics. 

I work with industry (Rolls-Royce, Terumo Aortic) on the modelling of engineering and biological materials. 

I'm an advocate of high-quality open-source modelling tools and the communities that support them. Excellent examples of such code including those listed here.

Many of my research interests align with those of the Glasgow Computational Engineering Centre (GCEC)

Publications

List by: Type | Date

Jump to: 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2009 | 2008 | 2007 | 2006 | 2004
Number of items: 78.

2023

Hamed, M.M.O., McBride, A. T. and Reddy, B.D. (2023) An ALE approach for large-deformation thermoplasticity with application to friction welding. Computational Mechanics, 72, pp. 803-826. (doi: 10.1007/s00466-023-02303-0)

Steinmann, P. , de Villiers, A. M., McBride, A. T. and Javili, A. (2023) Configurational peridynamics. Mechanics of Materials, 185, 104751. (doi: 10.1016/j.mechmat.2023.104751)

Lewandowski, K. , Barbera, D., Blackwell, P., Roohi, A. H., Athanasiadis, I., McBride, A. , Steinmann, P. , Pearce, C. and Kaczmarczyk, Ł. (2023) Multifield finite strain plasticity: theory and numerics. Computer Methods in Applied Mechanics and Engineering, 414, 116101. (doi: 10.1016/j.cma.2023.116101)

Liu, Z. , McBride, A. , Ghosh, A. , Heltai, L., Huang, W., Yu, T., Steinmann, P. and Saxena, P. (2023) Computational instability analysis of inflated hyperelastic thin shells using subdivision surfaces. Computational Mechanics, (doi: 10.1007/s00466-023-02366-z) (Early Online Publication)

Titlbach, A., Papastavrou, A., McBride, A. and Steinmann, P. (2023) A novel micromorphic approach captures non-locality in continuum bone remodelling. Computer Methods in Biomechanics and Biomedical Engineering, (doi: 10.1080/10255842.2023.2223331) (PMID:37318076) (Early Online Publication)

2022

Liu, Z. , McBride, A. , Saxena, P. , Heltai, L., Qu, Y. and Steinmann, P. (2022) Vibration analysis of piezoelectric Kirchhoff-Love shells based on Catmull-Clark subdivision surfaces. International Journal for Numerical Methods in Engineering, 123(18), pp. 4296-4322. (doi: 10.1002/nme.7010)

de Klerk, D. N., Shire, T. , Gao, Z. , McBride, A. T. , Pearce, C. J. and Steinmann, P. (2022) A variational integrator for the discrete element method. Journal of Computational Physics, 462, 111253. (doi: 10.1016/j.jcp.2022.111253)

Wakeni, M. F. , Aggarwal, A. , Kaczmarczyk, Ł. , McBride, A. T. , Athanasiadis, I., Pearce, C. J. and Steinmann, P. (2022) A p-adaptive, implicit-explicit mixed finite element method for diffusion-reaction problems. International Journal for Numerical Methods in Engineering, 123(14), pp. 3237-3263. (doi: 10.1002/nme.6967)

Tsagkari, E. , Connelly, S. , Liu, Z. , McBride, A. and Sloan, W. T. (2022) The Role of Shear Dynamics in Biofilm Formation. Biofilms and BioActive Fluids 2022, 6-8 June 2022, Liverpool, UK.

Tsagkari, E. , Connelly, S. , Liu, Z. , McBride, A. and Sloan, W. T. (2022) The role of shear dynamics in biofilm formation. npj Biofilms and Microbiomes, 8, 33. (doi: 10.1038/s41522-022-00300-4) (PMID:35487949) (PMCID:PMC9055050)

Triantafyllou, C. , Pagan, D. C. and McBride, A. (2022) Quantifying the effect of macrozones on the cold-dwell fatigue response of UD-Rolled Ti-6Al-4V using high-energy X-ray diffraction. Materials Science and Engineering A: Structural Materials Properties Microstructure and Processing, 834, 142498. (doi: 10.1016/j.msea.2021.142498)

2021

Povall, T.M., Govender, I. and McBride, A.T. (2021) Dense granular flows in rotating drums: a computational investigation of constitutive equations. Powder Technology, 393, pp. 238-249. (doi: 10.1016/j.powtec.2021.07.051)

Steinmann, P. , Smith, A., Birang, E., McBride, A. and Javili, A. (2021) Atomistic two-, three- and four-body potentials. Spatial and material settings. Journal of the Mechanics and Physics of Solids, 154, 104507. (doi: 10.1016/j.jmps.2021.104507)

Javili, A., McBride, A.T. , Mergheim, J. and Steinmann, P. (2021) Towards elasto-plastic continuum-kinematics-inspired peridynamics. Computer Methods in Applied Mechanics and Engineering, 380, 113809. (doi: 10.1016/j.cma.2021.113809)

Liu, Z. , McBride, A. , Sharma, B. L., Steinmann, P. and Saxena, P. (2021) Coupled electro-elastic deformation and instabilities of a toroidal membrane. Journal of the Mechanics and Physics of Solids, 151, 104221. (doi: 10.1016/j.jmps.2020.104221)

Javili, A., McBride, A. T. and Steinmann, P. (2021) A geometrically exact formulation of peridynamics. Theoretical and Applied Fracture Mechanics, 111, 102850. (doi: 10.1016/j.tafmec.2020.102850)

2020

McBride, A. , Davydov, D. and Steinmann, P. (2020) Modelling the flexoelectric effect in solids: a micromorphic approach. Computer Methods in Applied Mechanics and Engineering, 371, 113320. (doi: 10.1016/j.cma.2020.113320)

Grieshaber, B. J., McBride, A. T. and Reddy, B. D. (2020) Convergence in the incompressible limit of new discontinuous Galerkin methods with general quadrilateral and hexahedral elements. Computer Methods in Applied Mechanics and Engineering, 370, 113233. (doi: 10.1016/j.cma.2020.113233)

Javilia, A., Firooza, S., McBride, A.T. and Steinmann, P. (2020) The computational framework for continuum-kinematics-inspired peridynamics. Computational Mechanics, 66(4), pp. 795-824. (doi: 10.1007/s00466-020-01885-3)

Liu, Z. , McBride, A. , Saxena, P. and Steinmann, P. (2020) Assessment of an isogeometric approach with Catmull-Clark subdivision surfaces using the Laplace-Beltrami problems. Computational Mechanics, 66, pp. 851-876. (doi: 10.1007/s00466-020-01877-3)

2019

Blakemore, D. M., Govender, I., McBride, A. T. and Mainza, A. N. (2019) Multiple particle tracking in PEPT using Voronoi tessellations. Chemical Engineering Science, 207, pp. 780-789. (doi: 10.1016/j.ces.2019.06.057)

Williams, R., Barbera, D., Docherty, M., Bray, S. and McBride, A. (2019) Computational modelling of inertia friction welding. Proceedings in Applied Mathematics and Mechanics, 19(1), e201900500. (doi: 10.1002/pamm.201900500)

Javili, A., McBride, A.T. and Steinmann, P. (2019) Continuum-kinematics-inspired peridynamics. Mechanical problems. Journal of the Mechanics and Physics of Solids, 131, pp. 125-146. (doi: 10.1016/j.jmps.2019.06.016)

Liu, Z. , McBride, A. , Saxena, P. and Steinmann, P. (2019) Solving the Laplace-Beltrami Equation on Curved Two-dimensional Manifolds using the Finite Element Method with Catmull-Clark Subdivision Surfaces. VII International Conference on Isogeometric Analysis, Munich, 18-20 September 2019.

Tsagkari, E. , Connelly, S. , Liu, Z. , McBride, A. and Sloan, W. T. (2019) A Novel Rapid Prototyping Tool for Suspended Biofilm Growth Media. 6th European Congress on Biofilms (Eurobiofilms 2019), Glasgow, UK, 03-06 Sep 2019.

Tsagkari, E. , Connelly, S. , Liu, Z. , McBride, A. and Sloan, W.T. (2019) How the Design of Filter Media Affects Hydrodynamics and Biofilms in Drinking Water. 8th Congress of European Microbiologists, Glasgow, UK, 07-11 Jul 2019.

Limbert, G., Masen, M. A., Pond, D., Graham, H. K., Sherratt, M. J., Jobanputra, R. and McBride, A. (2019) Biotribology of the ageing skin—why we should care. Biotribology, 17, pp. 75-90. (doi: 10.1016/j.biotri.2019.03.001)

Limbert, G., Pond, D. and McBride, A. (2019) Constitutive modelling of skin ageing. In: Limbert, G. (ed.) Skin Biophysics. Series: Studies in mechanobiology, tissue engineering and biomaterials (22). Springer: Cham, pp. 135-192. ISBN 9783030132781 (doi: 10.1007/978-3-030-13279-8_5)

McBride, A. , Davydov, D. and Steinmann, P. (2019) Modelling the Flexoelectric Effect in Solids. In: 7th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2019), Cape Town, South Africa, 02-04 Sep 2019, pp. 278-279. ISBN 9781138386969

Steinmann, P. , McBride, A. and Javili, A. (2019) Novel Vistas on the Foundations of Peridynamics. In: 7th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2019), Cape Town, South Africa, 02-04 Sep 2019, p. 337. ISBN 9781138386969

2018

McBride, A.T. , Reddy, B.D. and Steinmann, P. (2018) Dissipation-consistent modelling and classification of extended plasticity formulations. Journal of the Mechanics and Physics of Solids, 119, pp. 118-139. (doi: 10.1016/j.jmps.2018.06.002)

Pond, D., McBride, A.T. , Davids, L.M., Reddy, B.D. and Limbert, G. (2018) Microstructurally-based constitutive modelling of the skin – linking intrinsic ageing to microstructural parameters. Journal of Theoretical Biology, 444, pp. 108-123. (doi: 10.1016/j.jtbi.2018.01.014) (PMID:29407269)

de Villiers, A.M., McBride, A.T. , Reddy, B.D., Franz, T. and Spottiswoode, B.S. (2018) A validated patient-specific FSI model for vascular access in haemodialysis. Biomechanics and Modeling in Mechanobiology, 17(2), pp. 479-497. (doi: 10.1007/s10237-017-0973-8) (PMID:29139052)

2017

Wilmers, J., McBride, A. and Bargmann, S. (2017) Interface elasticity effects in polymer-filled nanoporous metals. Journal of the Mechanics and Physics of Solids, 99, 163 - 177. (doi: 10.1016/j.jmps.2016.11.011)

Carstensen, C., Ebobisse, F., McBride, A.T. , Reddy, B.D. and Steinmann, P. (2017) Some properties of the dissipative model of strain-gradient plasticity. Philosophical Magazine, 97(10), pp. 693-717. (doi: 10.1080/14786435.2016.1274836)

Carstensen, C., Ebobisse, F., McBride, A. T. , Reddy, B. D. and Steinmann, P. (2017) Flow relations and yield functions for dissipative strain-gradient plasticity. In: dell'Isola, F., Sofonea, M. and Steigmann, D. (eds.) Mathematical Modelling in Solid Mechanics. Series: Advanced structured materials (69). Springer Singapore, pp. 31-42. ISBN 9789811037634 (doi: 10.1007/978-981-10-3764-1_3)

2016

Pelteret, J.-P., Davydov, D., McBride, A. , Vu, D. K. and Steinmann, P. (2016) Computational electro- and magneto-elasticity for quasi-incompressible media immersed in free space. International Journal for Numerical Methods in Engineering, 108(11), pp. 1307-1342. (doi: 10.1002/nme.5254)

McBride, A. , Bargmann, S., Pond, D. and Limbert, G. (2016) Thermoelastic modelling of the skin at finite deformations. Journal of Thermal Biology, 62(part B), pp. 201-209. (doi: 10.1016/j.jtherbio.2016.06.017) (PMID:27888934)

Wakeni, M.F. , Reddy, B.D. and McBride, A.T. (2016) A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations. International Journal of Engineering Science, 108, pp. 1-8. (doi: 10.1016/j.ijengsci.2016.08.008)

Wakeni, M. F. , Reddy, D. and McBride, A. T. (2016) An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods. Computer Methods in Applied Mechanics and Engineering, 306, pp. 427-451. (doi: 10.1016/j.cma.2016.03.040)

De Lorenzis, L., McBride, A. and Reddy, B.D. (2016) Phase-field modelling of fracture in single crystal plasticity. GAMM-Mitteilungen, 39(1), pp. 7-34. (doi: 10.1002/gamm.201610002)

Bayerschen, E., McBride, A.T. , Reddy, B.D. and Böhlke, T. (2016) Review on slip transmission criteria in experiments and crystal plasticity models. Journal of Materials Science, 51(5), pp. 2243-2258. (doi: 10.1007/s10853-015-9553-4)

Gottschalk, D., McBride, A. , Reddy, B.D., Javili, A., Wriggers, P. and Hirschberger, C.B. (2016) Computational and theoretical aspects of a grain-boundary model that accounts for grain misorientation and grain-boundary orientation. Computational Materials Science, 111, pp. 443-459. (doi: 10.1016/j.commatsci.2015.09.048)

McBride, A.T. , Gottschalk, D., Reddy, B.D., Wriggers, P. and Javili, A. (2016) Computational and theoretical aspects of a grain-boundary model at finite deformations. Technische Mechanik, 36(1-2), pp. 92-109.

2015

Javili, A., Chatzigeorgiou, G., McBride, A. , Steinmann, P. and Linder, C. (2015) Computational homogenization of nano-materials accounting for size effects via surface elasticity. GAMM-Mitteilungen, 38(2), pp. 285-312. (doi: 10.1002/gamm.201510016)

McBride, A. , Bargmann, S. and Reddy, B. D. (2015) A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing. Computational Mechanics, 55(4), pp. 755-769. (doi: 10.1007/s00466-015-1134-5)

Grieshaber, B.J., McBride, A.T. and Reddy, B.D. (2015) Uniformly convergent interior penalty methods using multilinear approximations for problems in elasticity. SIAM: Journal on Numerical Analysis, 53(5), pp. 2255-2278. (doi: 10.1137/140966253)

2014

Javili, A., McBride, A. , Steinmann, P. and Reddy, B.D. (2014) A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. Computational Mechanics, 54(3), pp. 745-762. (doi: 10.1007/s00466-014-1030-4)

Povall, T.M., McBride, A.T. and Reddy, B.D. (2014) Finite element simulation of large-strain single-crystal viscoplasticity: an investigation of various hardening relations. Computational Materials Science, 81, pp. 386-396. (doi: 10.1016/j.commatsci.2013.08.043)

2013

Javili, A., McBride, A. , Mergheim, J., Steinmann, P. and Schmidt, U. (2013) Micro-to-macro transitions for continua with surface structure at the microscale. International Journal of Solids and Structures, 50(16-17), pp. 2561-2572. (doi: 10.1016/j.ijsolstr.2013.03.022)

Lamichhane, B. P., McBride, A. T. and Reddy, B. D. (2013) A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems. Computer Methods in Applied Mechanics and Engineering, 258, pp. 109-117. (doi: 10.1016/j.cma.2013.02.008)

Javili, A., McBride, A. and Steinmann, P. (2013) Numerical modelling of thermomechanical solids with highly-conductive energetic interfaces. International Journal for Numerical Methods in Engineering, 93(5), pp. 551-574. (doi: 10.1002/nme.4402)

Davydov, D., Javili, A., Steinmann, P. and McBride, A. (2013) A comparison of atomistic and surface enhanced continuum approaches at finite temperature. In: Altenbach, H. and Morozov, N.F. (eds.) Surface Effects in Solid Mechanics. Springer-Verlag Berlin, pp. 21-33. ISBN 9783642357824 (doi: 10.1007/978-3-642-35783-1_4)

Javili, A., McBride, A. and Steinmann, P. (2013) Thermomechanics of solids with lower-dimensional energetics: On the importance of surface, interface, and curve structures at the nanoscale. A unifying review. Applied Mechanics Reviews, 65(1), 010802. (doi: 10.1115/1.4023012)

2012

Javili, A., McBride, A. and Steinmann, P. (2012) Numerical modelling of thermomechanical solids with mechanically energetic (generalised) Kapitza interfaces. Computational Materials Science, 65, pp. 542-551. (doi: 10.1016/j.commatsci.2012.06.006)

McBride, A. , Mergheim, J., Javili, A., Steinmann, P. and Bargmann, S. (2012) Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch. Journal of the Mechanics and Physics of Solids, 60(6), pp. 1221-1239. (doi: 10.1016/j.jmps.2012.01.003)

Reddy, B. D. and McBride, A. (2012) Introduction to finite element analysis and recent developments. In: Patanaik, A. (ed.) Modeling and Simulation in Fibrous Materials: Techniques and Applications. Nova Science Publishers, New York: New York, United States, pp. 1-28. ISBN 9781621001164

Steinmann, P., McBride, A. T. , Bargmann, S. and Javili, A. (2012) A deformational and configurational framework for geometrically non-linear continuum thermomechanics coupled to diffusion. International Journal of Non-Linear Mechanics, 47(2), pp. 215-227. (doi: 10.1016/j.ijnonlinmec.2011.05.009)

Javili, A., McBride, A. , Mergheim, J., Steinmann, P. and Schmidt, U. (2012) Micro-To-Macro Transitions for Continua with Surface Structure at the Microscale. In: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, Germany, 26-30 Mar 2012, pp. 23-26. (doi: 10.1002/pamm.201210007)

Javili, A., McBride, A. , Steinmann, P. and Reddy, B.D. (2012) Relationships between the admissible range of surface material parameters and stability of linearly elastic bodies. Philosophical Magazine, 92(28-30), pp. 3540-3563. (doi: 10.1080/14786435.2012.682175)

Riedlbauer, D., Mergheim, J., McBride, A. and Steinmann, P. (2012) Macroscopic Modelling of the Selective Beam Melting Process. In: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, Germany, 26-30 Mar 2012, pp. 381-382. (doi: 10.1002/pamm.201210179)

2011

McBride, A.T. , Javili, A., Steinmann, P. and Bargmann, S. (2011) Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion. Journal of the Mechanics and Physics of Solids, 59(10), pp. 2116-2133. (doi: 10.1016/j.jmps.2011.06.002)

Bargmann, S., McBride, A. and Steinmann, P. (2011) Models of solvent penetration in glassy polymers with an emphasis on case II diffusion: a comparative review. Applied Mechanics Reviews, 64(1), 010803. (doi: 10.1115/1.4003955)

McBride, A. , Bargmann, S. and Steinmann, P. (2011) Geometrically Nonlinear Continuum Thermomechanics Coupled to Diffusion: A Framework for Case II Diffusion. In: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (PAMM), Graz, Austria, 18-21 Apr 2011, p. 484. (doi: 10.1002/pamm.201110233)

McBride, A. T. , Bargmann, S. and Steinmann, P. (2011) Geometrically nonlinear continuum thermomechanics coupled to diffusion: a framework for case II diffusion. In: Markert, B. (ed.) Advances in Extended and Multifield Theories for Continua. Series: Lecture Notes in Applied and Computational Mechanics (59). Springer Berlin Heidelberg, pp. 89-107. ISBN 9783642227370 (doi: 10.1007/978-3-642-22738-7_5)

2009

McBride, A.T. and Reddy, B.D. (2009) A discontinuous Galerkin formulation of a model of gradient plasticity at finite strains. Computer Methods in Applied Mechanics and Engineering, 198(21-26), pp. 1805-1820. (doi: 10.1016/j.cma.2008.12.034)

2008

Ebobisse, F., McBride, A. and Reddy, B.D. (2008) On the mathematical formulations of a model of strain gradient plasticity. In: Reddy, B.D. (ed.) IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media: Proceedings of the IUTAM Symposium held at Cape Town, South Africa, January 14-18, 2008. Series: IUTAM bookseries. Springer, pp. 117-128. ISBN 9789048180684

Powell, M.S., Govender, I. and McBride, A.T. (2008) Applying DEM outputs to the unified comminution model. Minerals Engineering, 21, pp. 744-750. (doi: 10.1016/j.mineng.2008.06.010)

Reddy, B. D., Ebobisse, F. and McBride, A. (2008) Well-posedness of a model of strain gradient plasticity for plastically irrotational materials. International Journal of Plasticity, 24(1), pp. 55-73. (doi: 10.1016/j.ijplas.2007.01.013)

McBride, A.T. and Reddy, B.D. (2008) Some aspects of a discontinuous Galerkin formulation for gradient plasticity at finite strains. In: IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media, Cape Town, South Africa, 14-18 Jan 2008, pp. 237-247. ISBN 9781402090899 (doi: 10.1007/978-1-4020-9090-5_22)

2007

Djoko, J. K., Ebobisse, F., McBride, A. T. and Reddy, B. D. (2007) A discontinuous Galerkin formulation for classical and gradient plasticity - Part 2: Algorithms and numerical analysis. Computer Methods in Applied Mechanics and Engineering, 196(1-4), pp. 1-21. (doi: 10.1016/j.cma.2007.06.027)

Djoko, J. K., Ebobisse, F., McBride, A. and Reddy, B. D. (2007) A discontinuous Galerkin formulation for classical and gradient plasticity. Part 1: Formulation and analysis. Computer Methods in Applied Mechanics and Engineering, 197(37-40), pp. 3881-3897. (doi: 10.1016/j.cma.2006.10.045)

2006

Powell, M.S. and McBride, A.T. (2006) What is required from DEM simulations to model breakage in mills? Minerals Engineering, 19, pp. 1013-1021. (doi: 10.1016/j.mineng.2006.03.009)

2004

Govender, I., McBride, A.T. and Powell, M.S. (2004) Improved experimental tracking techniques for validating discrete element method simulations of tumbling mills. Experimental Mechanics, 44(6), pp. 593-607. (doi: 10.1007/BF02428249)

Powell, M. S. and McBride, A. T. (2004) A three-dimensional analysis of media motion and grinding regions in mills. Minerals Engineering, 17(11-12), pp. 1099-1109. (doi: 10.1016/j.mineng.2004.06.022)

McBride, A. , Govender, I., Powell, M. and Cloete, T. (2004) Contributions to the experimental validation of the discrete element method applied to tumbling mills. Engineering Computations, 21(2/3/4), pp. 119-136. (doi: 10.1108/02644400410519703)

McBride, A.T. , Makepe, T. and Scheele, F. (2004) Discrete Element Method Analysis of A Bearing Capacity Experiment. In: 2nd International Conference on Structural Engineering, Mechanics and Computation, Cape Town, South Africa, 5-7 Jul 2004, pp. 1003-1008. ISBN 9789058095688

Sarracino, R., McBride, A.T. and Powell, M.S. (2004) Using Particle Flow Code to Investigate Energy Dissipation in a Rotary Grinding Mill. In: Numerical Modeling in Micromechanics via Particle Methods, Kyoto, Japan, 28-29 Oct 2004, pp. 111-118. ISBN 9058096793

This list was generated on Sat Dec 21 21:17:43 2024 GMT.
Number of items: 78.

Articles

Hamed, M.M.O., McBride, A. T. and Reddy, B.D. (2023) An ALE approach for large-deformation thermoplasticity with application to friction welding. Computational Mechanics, 72, pp. 803-826. (doi: 10.1007/s00466-023-02303-0)

Steinmann, P. , de Villiers, A. M., McBride, A. T. and Javili, A. (2023) Configurational peridynamics. Mechanics of Materials, 185, 104751. (doi: 10.1016/j.mechmat.2023.104751)

Lewandowski, K. , Barbera, D., Blackwell, P., Roohi, A. H., Athanasiadis, I., McBride, A. , Steinmann, P. , Pearce, C. and Kaczmarczyk, Ł. (2023) Multifield finite strain plasticity: theory and numerics. Computer Methods in Applied Mechanics and Engineering, 414, 116101. (doi: 10.1016/j.cma.2023.116101)

Liu, Z. , McBride, A. , Ghosh, A. , Heltai, L., Huang, W., Yu, T., Steinmann, P. and Saxena, P. (2023) Computational instability analysis of inflated hyperelastic thin shells using subdivision surfaces. Computational Mechanics, (doi: 10.1007/s00466-023-02366-z) (Early Online Publication)

Titlbach, A., Papastavrou, A., McBride, A. and Steinmann, P. (2023) A novel micromorphic approach captures non-locality in continuum bone remodelling. Computer Methods in Biomechanics and Biomedical Engineering, (doi: 10.1080/10255842.2023.2223331) (PMID:37318076) (Early Online Publication)

Liu, Z. , McBride, A. , Saxena, P. , Heltai, L., Qu, Y. and Steinmann, P. (2022) Vibration analysis of piezoelectric Kirchhoff-Love shells based on Catmull-Clark subdivision surfaces. International Journal for Numerical Methods in Engineering, 123(18), pp. 4296-4322. (doi: 10.1002/nme.7010)

de Klerk, D. N., Shire, T. , Gao, Z. , McBride, A. T. , Pearce, C. J. and Steinmann, P. (2022) A variational integrator for the discrete element method. Journal of Computational Physics, 462, 111253. (doi: 10.1016/j.jcp.2022.111253)

Wakeni, M. F. , Aggarwal, A. , Kaczmarczyk, Ł. , McBride, A. T. , Athanasiadis, I., Pearce, C. J. and Steinmann, P. (2022) A p-adaptive, implicit-explicit mixed finite element method for diffusion-reaction problems. International Journal for Numerical Methods in Engineering, 123(14), pp. 3237-3263. (doi: 10.1002/nme.6967)

Tsagkari, E. , Connelly, S. , Liu, Z. , McBride, A. and Sloan, W. T. (2022) The role of shear dynamics in biofilm formation. npj Biofilms and Microbiomes, 8, 33. (doi: 10.1038/s41522-022-00300-4) (PMID:35487949) (PMCID:PMC9055050)

Triantafyllou, C. , Pagan, D. C. and McBride, A. (2022) Quantifying the effect of macrozones on the cold-dwell fatigue response of UD-Rolled Ti-6Al-4V using high-energy X-ray diffraction. Materials Science and Engineering A: Structural Materials Properties Microstructure and Processing, 834, 142498. (doi: 10.1016/j.msea.2021.142498)

Povall, T.M., Govender, I. and McBride, A.T. (2021) Dense granular flows in rotating drums: a computational investigation of constitutive equations. Powder Technology, 393, pp. 238-249. (doi: 10.1016/j.powtec.2021.07.051)

Steinmann, P. , Smith, A., Birang, E., McBride, A. and Javili, A. (2021) Atomistic two-, three- and four-body potentials. Spatial and material settings. Journal of the Mechanics and Physics of Solids, 154, 104507. (doi: 10.1016/j.jmps.2021.104507)

Javili, A., McBride, A.T. , Mergheim, J. and Steinmann, P. (2021) Towards elasto-plastic continuum-kinematics-inspired peridynamics. Computer Methods in Applied Mechanics and Engineering, 380, 113809. (doi: 10.1016/j.cma.2021.113809)

Liu, Z. , McBride, A. , Sharma, B. L., Steinmann, P. and Saxena, P. (2021) Coupled electro-elastic deformation and instabilities of a toroidal membrane. Journal of the Mechanics and Physics of Solids, 151, 104221. (doi: 10.1016/j.jmps.2020.104221)

Javili, A., McBride, A. T. and Steinmann, P. (2021) A geometrically exact formulation of peridynamics. Theoretical and Applied Fracture Mechanics, 111, 102850. (doi: 10.1016/j.tafmec.2020.102850)

McBride, A. , Davydov, D. and Steinmann, P. (2020) Modelling the flexoelectric effect in solids: a micromorphic approach. Computer Methods in Applied Mechanics and Engineering, 371, 113320. (doi: 10.1016/j.cma.2020.113320)

Grieshaber, B. J., McBride, A. T. and Reddy, B. D. (2020) Convergence in the incompressible limit of new discontinuous Galerkin methods with general quadrilateral and hexahedral elements. Computer Methods in Applied Mechanics and Engineering, 370, 113233. (doi: 10.1016/j.cma.2020.113233)

Javilia, A., Firooza, S., McBride, A.T. and Steinmann, P. (2020) The computational framework for continuum-kinematics-inspired peridynamics. Computational Mechanics, 66(4), pp. 795-824. (doi: 10.1007/s00466-020-01885-3)

Liu, Z. , McBride, A. , Saxena, P. and Steinmann, P. (2020) Assessment of an isogeometric approach with Catmull-Clark subdivision surfaces using the Laplace-Beltrami problems. Computational Mechanics, 66, pp. 851-876. (doi: 10.1007/s00466-020-01877-3)

Blakemore, D. M., Govender, I., McBride, A. T. and Mainza, A. N. (2019) Multiple particle tracking in PEPT using Voronoi tessellations. Chemical Engineering Science, 207, pp. 780-789. (doi: 10.1016/j.ces.2019.06.057)

Williams, R., Barbera, D., Docherty, M., Bray, S. and McBride, A. (2019) Computational modelling of inertia friction welding. Proceedings in Applied Mathematics and Mechanics, 19(1), e201900500. (doi: 10.1002/pamm.201900500)

Javili, A., McBride, A.T. and Steinmann, P. (2019) Continuum-kinematics-inspired peridynamics. Mechanical problems. Journal of the Mechanics and Physics of Solids, 131, pp. 125-146. (doi: 10.1016/j.jmps.2019.06.016)

Limbert, G., Masen, M. A., Pond, D., Graham, H. K., Sherratt, M. J., Jobanputra, R. and McBride, A. (2019) Biotribology of the ageing skin—why we should care. Biotribology, 17, pp. 75-90. (doi: 10.1016/j.biotri.2019.03.001)

McBride, A.T. , Reddy, B.D. and Steinmann, P. (2018) Dissipation-consistent modelling and classification of extended plasticity formulations. Journal of the Mechanics and Physics of Solids, 119, pp. 118-139. (doi: 10.1016/j.jmps.2018.06.002)

Pond, D., McBride, A.T. , Davids, L.M., Reddy, B.D. and Limbert, G. (2018) Microstructurally-based constitutive modelling of the skin – linking intrinsic ageing to microstructural parameters. Journal of Theoretical Biology, 444, pp. 108-123. (doi: 10.1016/j.jtbi.2018.01.014) (PMID:29407269)

de Villiers, A.M., McBride, A.T. , Reddy, B.D., Franz, T. and Spottiswoode, B.S. (2018) A validated patient-specific FSI model for vascular access in haemodialysis. Biomechanics and Modeling in Mechanobiology, 17(2), pp. 479-497. (doi: 10.1007/s10237-017-0973-8) (PMID:29139052)

Wilmers, J., McBride, A. and Bargmann, S. (2017) Interface elasticity effects in polymer-filled nanoporous metals. Journal of the Mechanics and Physics of Solids, 99, 163 - 177. (doi: 10.1016/j.jmps.2016.11.011)

Carstensen, C., Ebobisse, F., McBride, A.T. , Reddy, B.D. and Steinmann, P. (2017) Some properties of the dissipative model of strain-gradient plasticity. Philosophical Magazine, 97(10), pp. 693-717. (doi: 10.1080/14786435.2016.1274836)

Pelteret, J.-P., Davydov, D., McBride, A. , Vu, D. K. and Steinmann, P. (2016) Computational electro- and magneto-elasticity for quasi-incompressible media immersed in free space. International Journal for Numerical Methods in Engineering, 108(11), pp. 1307-1342. (doi: 10.1002/nme.5254)

McBride, A. , Bargmann, S., Pond, D. and Limbert, G. (2016) Thermoelastic modelling of the skin at finite deformations. Journal of Thermal Biology, 62(part B), pp. 201-209. (doi: 10.1016/j.jtherbio.2016.06.017) (PMID:27888934)

Wakeni, M.F. , Reddy, B.D. and McBride, A.T. (2016) A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations. International Journal of Engineering Science, 108, pp. 1-8. (doi: 10.1016/j.ijengsci.2016.08.008)

Wakeni, M. F. , Reddy, D. and McBride, A. T. (2016) An unconditionally stable algorithm for generalized thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods. Computer Methods in Applied Mechanics and Engineering, 306, pp. 427-451. (doi: 10.1016/j.cma.2016.03.040)

De Lorenzis, L., McBride, A. and Reddy, B.D. (2016) Phase-field modelling of fracture in single crystal plasticity. GAMM-Mitteilungen, 39(1), pp. 7-34. (doi: 10.1002/gamm.201610002)

Bayerschen, E., McBride, A.T. , Reddy, B.D. and Böhlke, T. (2016) Review on slip transmission criteria in experiments and crystal plasticity models. Journal of Materials Science, 51(5), pp. 2243-2258. (doi: 10.1007/s10853-015-9553-4)

Gottschalk, D., McBride, A. , Reddy, B.D., Javili, A., Wriggers, P. and Hirschberger, C.B. (2016) Computational and theoretical aspects of a grain-boundary model that accounts for grain misorientation and grain-boundary orientation. Computational Materials Science, 111, pp. 443-459. (doi: 10.1016/j.commatsci.2015.09.048)

McBride, A.T. , Gottschalk, D., Reddy, B.D., Wriggers, P. and Javili, A. (2016) Computational and theoretical aspects of a grain-boundary model at finite deformations. Technische Mechanik, 36(1-2), pp. 92-109.

Javili, A., Chatzigeorgiou, G., McBride, A. , Steinmann, P. and Linder, C. (2015) Computational homogenization of nano-materials accounting for size effects via surface elasticity. GAMM-Mitteilungen, 38(2), pp. 285-312. (doi: 10.1002/gamm.201510016)

McBride, A. , Bargmann, S. and Reddy, B. D. (2015) A computational investigation of a model of single-crystal gradient thermoplasticity that accounts for the stored energy of cold work and thermal annealing. Computational Mechanics, 55(4), pp. 755-769. (doi: 10.1007/s00466-015-1134-5)

Grieshaber, B.J., McBride, A.T. and Reddy, B.D. (2015) Uniformly convergent interior penalty methods using multilinear approximations for problems in elasticity. SIAM: Journal on Numerical Analysis, 53(5), pp. 2255-2278. (doi: 10.1137/140966253)

Javili, A., McBride, A. , Steinmann, P. and Reddy, B.D. (2014) A unified computational framework for bulk and surface elasticity theory: a curvilinear-coordinate-based finite element methodology. Computational Mechanics, 54(3), pp. 745-762. (doi: 10.1007/s00466-014-1030-4)

Povall, T.M., McBride, A.T. and Reddy, B.D. (2014) Finite element simulation of large-strain single-crystal viscoplasticity: an investigation of various hardening relations. Computational Materials Science, 81, pp. 386-396. (doi: 10.1016/j.commatsci.2013.08.043)

Javili, A., McBride, A. , Mergheim, J., Steinmann, P. and Schmidt, U. (2013) Micro-to-macro transitions for continua with surface structure at the microscale. International Journal of Solids and Structures, 50(16-17), pp. 2561-2572. (doi: 10.1016/j.ijsolstr.2013.03.022)

Lamichhane, B. P., McBride, A. T. and Reddy, B. D. (2013) A finite element method for a three-field formulation of linear elasticity based on biorthogonal systems. Computer Methods in Applied Mechanics and Engineering, 258, pp. 109-117. (doi: 10.1016/j.cma.2013.02.008)

Javili, A., McBride, A. and Steinmann, P. (2013) Numerical modelling of thermomechanical solids with highly-conductive energetic interfaces. International Journal for Numerical Methods in Engineering, 93(5), pp. 551-574. (doi: 10.1002/nme.4402)

Javili, A., McBride, A. and Steinmann, P. (2013) Thermomechanics of solids with lower-dimensional energetics: On the importance of surface, interface, and curve structures at the nanoscale. A unifying review. Applied Mechanics Reviews, 65(1), 010802. (doi: 10.1115/1.4023012)

Javili, A., McBride, A. and Steinmann, P. (2012) Numerical modelling of thermomechanical solids with mechanically energetic (generalised) Kapitza interfaces. Computational Materials Science, 65, pp. 542-551. (doi: 10.1016/j.commatsci.2012.06.006)

McBride, A. , Mergheim, J., Javili, A., Steinmann, P. and Bargmann, S. (2012) Micro-to-macro transitions for heterogeneous material layers accounting for in-plane stretch. Journal of the Mechanics and Physics of Solids, 60(6), pp. 1221-1239. (doi: 10.1016/j.jmps.2012.01.003)

Steinmann, P., McBride, A. T. , Bargmann, S. and Javili, A. (2012) A deformational and configurational framework for geometrically non-linear continuum thermomechanics coupled to diffusion. International Journal of Non-Linear Mechanics, 47(2), pp. 215-227. (doi: 10.1016/j.ijnonlinmec.2011.05.009)

Javili, A., McBride, A. , Steinmann, P. and Reddy, B.D. (2012) Relationships between the admissible range of surface material parameters and stability of linearly elastic bodies. Philosophical Magazine, 92(28-30), pp. 3540-3563. (doi: 10.1080/14786435.2012.682175)

McBride, A.T. , Javili, A., Steinmann, P. and Bargmann, S. (2011) Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion. Journal of the Mechanics and Physics of Solids, 59(10), pp. 2116-2133. (doi: 10.1016/j.jmps.2011.06.002)

Bargmann, S., McBride, A. and Steinmann, P. (2011) Models of solvent penetration in glassy polymers with an emphasis on case II diffusion: a comparative review. Applied Mechanics Reviews, 64(1), 010803. (doi: 10.1115/1.4003955)

McBride, A.T. and Reddy, B.D. (2009) A discontinuous Galerkin formulation of a model of gradient plasticity at finite strains. Computer Methods in Applied Mechanics and Engineering, 198(21-26), pp. 1805-1820. (doi: 10.1016/j.cma.2008.12.034)

Powell, M.S., Govender, I. and McBride, A.T. (2008) Applying DEM outputs to the unified comminution model. Minerals Engineering, 21, pp. 744-750. (doi: 10.1016/j.mineng.2008.06.010)

Reddy, B. D., Ebobisse, F. and McBride, A. (2008) Well-posedness of a model of strain gradient plasticity for plastically irrotational materials. International Journal of Plasticity, 24(1), pp. 55-73. (doi: 10.1016/j.ijplas.2007.01.013)

Djoko, J. K., Ebobisse, F., McBride, A. T. and Reddy, B. D. (2007) A discontinuous Galerkin formulation for classical and gradient plasticity - Part 2: Algorithms and numerical analysis. Computer Methods in Applied Mechanics and Engineering, 196(1-4), pp. 1-21. (doi: 10.1016/j.cma.2007.06.027)

Djoko, J. K., Ebobisse, F., McBride, A. and Reddy, B. D. (2007) A discontinuous Galerkin formulation for classical and gradient plasticity. Part 1: Formulation and analysis. Computer Methods in Applied Mechanics and Engineering, 197(37-40), pp. 3881-3897. (doi: 10.1016/j.cma.2006.10.045)

Powell, M.S. and McBride, A.T. (2006) What is required from DEM simulations to model breakage in mills? Minerals Engineering, 19, pp. 1013-1021. (doi: 10.1016/j.mineng.2006.03.009)

Govender, I., McBride, A.T. and Powell, M.S. (2004) Improved experimental tracking techniques for validating discrete element method simulations of tumbling mills. Experimental Mechanics, 44(6), pp. 593-607. (doi: 10.1007/BF02428249)

Powell, M. S. and McBride, A. T. (2004) A three-dimensional analysis of media motion and grinding regions in mills. Minerals Engineering, 17(11-12), pp. 1099-1109. (doi: 10.1016/j.mineng.2004.06.022)

McBride, A. , Govender, I., Powell, M. and Cloete, T. (2004) Contributions to the experimental validation of the discrete element method applied to tumbling mills. Engineering Computations, 21(2/3/4), pp. 119-136. (doi: 10.1108/02644400410519703)

Book Sections

Limbert, G., Pond, D. and McBride, A. (2019) Constitutive modelling of skin ageing. In: Limbert, G. (ed.) Skin Biophysics. Series: Studies in mechanobiology, tissue engineering and biomaterials (22). Springer: Cham, pp. 135-192. ISBN 9783030132781 (doi: 10.1007/978-3-030-13279-8_5)

Carstensen, C., Ebobisse, F., McBride, A. T. , Reddy, B. D. and Steinmann, P. (2017) Flow relations and yield functions for dissipative strain-gradient plasticity. In: dell'Isola, F., Sofonea, M. and Steigmann, D. (eds.) Mathematical Modelling in Solid Mechanics. Series: Advanced structured materials (69). Springer Singapore, pp. 31-42. ISBN 9789811037634 (doi: 10.1007/978-981-10-3764-1_3)

Davydov, D., Javili, A., Steinmann, P. and McBride, A. (2013) A comparison of atomistic and surface enhanced continuum approaches at finite temperature. In: Altenbach, H. and Morozov, N.F. (eds.) Surface Effects in Solid Mechanics. Springer-Verlag Berlin, pp. 21-33. ISBN 9783642357824 (doi: 10.1007/978-3-642-35783-1_4)

Reddy, B. D. and McBride, A. (2012) Introduction to finite element analysis and recent developments. In: Patanaik, A. (ed.) Modeling and Simulation in Fibrous Materials: Techniques and Applications. Nova Science Publishers, New York: New York, United States, pp. 1-28. ISBN 9781621001164

McBride, A. T. , Bargmann, S. and Steinmann, P. (2011) Geometrically nonlinear continuum thermomechanics coupled to diffusion: a framework for case II diffusion. In: Markert, B. (ed.) Advances in Extended and Multifield Theories for Continua. Series: Lecture Notes in Applied and Computational Mechanics (59). Springer Berlin Heidelberg, pp. 89-107. ISBN 9783642227370 (doi: 10.1007/978-3-642-22738-7_5)

Ebobisse, F., McBride, A. and Reddy, B.D. (2008) On the mathematical formulations of a model of strain gradient plasticity. In: Reddy, B.D. (ed.) IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media: Proceedings of the IUTAM Symposium held at Cape Town, South Africa, January 14-18, 2008. Series: IUTAM bookseries. Springer, pp. 117-128. ISBN 9789048180684

Conference or Workshop Item

Tsagkari, E. , Connelly, S. , Liu, Z. , McBride, A. and Sloan, W. T. (2022) The Role of Shear Dynamics in Biofilm Formation. Biofilms and BioActive Fluids 2022, 6-8 June 2022, Liverpool, UK.

Liu, Z. , McBride, A. , Saxena, P. and Steinmann, P. (2019) Solving the Laplace-Beltrami Equation on Curved Two-dimensional Manifolds using the Finite Element Method with Catmull-Clark Subdivision Surfaces. VII International Conference on Isogeometric Analysis, Munich, 18-20 September 2019.

Tsagkari, E. , Connelly, S. , Liu, Z. , McBride, A. and Sloan, W. T. (2019) A Novel Rapid Prototyping Tool for Suspended Biofilm Growth Media. 6th European Congress on Biofilms (Eurobiofilms 2019), Glasgow, UK, 03-06 Sep 2019.

Tsagkari, E. , Connelly, S. , Liu, Z. , McBride, A. and Sloan, W.T. (2019) How the Design of Filter Media Affects Hydrodynamics and Biofilms in Drinking Water. 8th Congress of European Microbiologists, Glasgow, UK, 07-11 Jul 2019.

Conference Proceedings

McBride, A. , Davydov, D. and Steinmann, P. (2019) Modelling the Flexoelectric Effect in Solids. In: 7th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2019), Cape Town, South Africa, 02-04 Sep 2019, pp. 278-279. ISBN 9781138386969

Steinmann, P. , McBride, A. and Javili, A. (2019) Novel Vistas on the Foundations of Peridynamics. In: 7th International Conference on Structural Engineering, Mechanics and Computation (SEMC 2019), Cape Town, South Africa, 02-04 Sep 2019, p. 337. ISBN 9781138386969

Javili, A., McBride, A. , Mergheim, J., Steinmann, P. and Schmidt, U. (2012) Micro-To-Macro Transitions for Continua with Surface Structure at the Microscale. In: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, Germany, 26-30 Mar 2012, pp. 23-26. (doi: 10.1002/pamm.201210007)

Riedlbauer, D., Mergheim, J., McBride, A. and Steinmann, P. (2012) Macroscopic Modelling of the Selective Beam Melting Process. In: 83rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Darmstadt, Germany, 26-30 Mar 2012, pp. 381-382. (doi: 10.1002/pamm.201210179)

McBride, A. , Bargmann, S. and Steinmann, P. (2011) Geometrically Nonlinear Continuum Thermomechanics Coupled to Diffusion: A Framework for Case II Diffusion. In: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (PAMM), Graz, Austria, 18-21 Apr 2011, p. 484. (doi: 10.1002/pamm.201110233)

McBride, A.T. and Reddy, B.D. (2008) Some aspects of a discontinuous Galerkin formulation for gradient plasticity at finite strains. In: IUTAM Symposium on Theoretical, Modelling and Computational Aspects of Inelastic Media, Cape Town, South Africa, 14-18 Jan 2008, pp. 237-247. ISBN 9781402090899 (doi: 10.1007/978-1-4020-9090-5_22)

McBride, A.T. , Makepe, T. and Scheele, F. (2004) Discrete Element Method Analysis of A Bearing Capacity Experiment. In: 2nd International Conference on Structural Engineering, Mechanics and Computation, Cape Town, South Africa, 5-7 Jul 2004, pp. 1003-1008. ISBN 9789058095688

Sarracino, R., McBride, A.T. and Powell, M.S. (2004) Using Particle Flow Code to Investigate Energy Dissipation in a Rotary Grinding Mill. In: Numerical Modeling in Micromechanics via Particle Methods, Kyoto, Japan, 28-29 Oct 2004, pp. 111-118. ISBN 9058096793

This list was generated on Sat Dec 21 21:17:43 2024 GMT.

Supervision

  • -, Akash Deep
    Digital Twinning in Smart Manufacturing for Enhanced Productivity
  • Mohamed Osman Hussain, Jude
    A Bayesian approach to hyperelastic model selection and calibration for stent durability testing

Teaching

I teach undergraduate and postgraduate courses related to mechanics. These include

  • Finite element analysis
  • Advanced structrual analysis, dynamics and earthquake engineering