Adrian Lew
Associate Professor of Mechanical Engineering
Bio
Prof. Lew's interests lie in the broad area of computational solid mechanics. He is concerned with the fundamental design and mathematical analysis of material models and numerical algorithms.
Currently the group is focused on the design of algorithms to simulate hydraulic fracturing. To this end we work on algorithms for time-integration embedded or immersed boundary methods.
Professional Education
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PhD, Caltech, Mechanical Engineering (2003)
2015-16 Courses
- Dynamics
ENGR 15 (Spr) - Structure and Shape: From the Middle Ages to the Present
OSPMADRD 49 (Win) -
Independent Studies (11)
- Engineering Problems
ME 391 (Aut, Win, Spr, Sum) - Engineering Problems and Experimental Investigation
ME 191 (Aut, Win, Spr, Sum) - Experimental Investigation of Engineering Problems
ME 392 (Aut, Win, Spr, Sum) - Honors Research
ME 191H (Aut, Win, Spr, Sum) - Independent Study in Engineering
OSPMADRD 85 (Win) - Master's Research
CME 291 (Aut, Win, Spr, Sum) - Ph.D. Research
CME 400 (Aut, Win, Spr, Sum) - Ph.D. Teaching Experience
ME 491 (Aut, Win, Spr, Sum) - Practical Training
ME 299A (Aut, Win, Spr, Sum) - Practical Training
ME 299B (Aut, Win, Spr, Sum) - Problems in Aero/Astro
AA 290 (Sum)
- Engineering Problems
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Prior Year Courses
2014-15 Courses
- Dynamics
ENGR 15 (Spr) - Engineering Functional Analysis and Finite Elements
CME 356, ME 412 (Win) - Mechanics - Fundamentals and Lagrangian Mechanics
ME 333A (Aut)
2013-14 Courses
- Dynamics
ENGR 15 (Spr) - Mechanics
ME 333 (Aut) - Seminar in Solid Mechanics
ME 395 (Aut)
2012-13 Courses
- Dynamics
ENGR 15 (Spr) - Engineering Functional Analysis and Finite Elements
CME 356, ME 412 (Win) - Mechanics
ME 333 (Aut) - Seminar in Solid Mechanics
ME 395 (Aut, Win, Spr)
- Dynamics
All Publications
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A FAMILY OF DISCONTINUOUS GALERKIN MIXED METHODS FOR NEARLY AND PERFECTLY INCOMPRESSIBLE ELASTICITY
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
2012; 46 (5): 1003-1028
View details for DOI 10.1051/m2an/2011046
View details for Web of Science ID 000302125100002
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An explicit asynchronous contact algorithm for elastic body-rigid wall interaction
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2012; 89 (7): 869-896
View details for DOI 10.1002/nme.3266
View details for Web of Science ID 000299626600004
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Adhesive Frictionless Contact Between an Elastic Isotropic Half-Space and a Rigid Axi-Symmetric Punch
JOURNAL OF ELASTICITY
2012; 106 (2): 203-224
View details for DOI 10.1007/s10659-011-9323-8
View details for Web of Science ID 000297788200007
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Time integrators based on approximate discontinuous Hamiltonians
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2012; 89 (1): 71-104
View details for DOI 10.1002/nme.3236
View details for Web of Science ID 000298589300004
- Application of assembly of finite element methods on graphics processors for real-time elastodynamics 2012
- A family of discontinuous Galerkin methods for nearly and perfectly incompressible elasticity ESAIM: Mathematical Modelling and Numerical Analysis 2012; 46 (5): 1003-1028
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Effective macroscopic adhesive contact behavior induced by small surface roughness
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
2011; 59 (12): 2488-2510
View details for DOI 10.1016/j.jmps.2011.07.009
View details for Web of Science ID 000297235700005
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Parameterization of planar curves immersed in triangulations with application to finite elements
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2011; 88 (6): 556-585
View details for DOI 10.1002/nme.3189
View details for Web of Science ID 000296262500003
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Variational time integrators for finite-dimensional thermo-elasto-dynamics without heat conduction
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2011; 88 (1): 1-30
View details for DOI 10.1002/nme.3160
View details for Web of Science ID 000295226200001
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OPTIMAL CONVERGENCE OF A DISCONTINUOUS-GALERKIN-BASED IMMERSED BOUNDARY METHOD
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
2011; 45 (4): 651-674
View details for DOI 10.1051/m2an/2010069
View details for Web of Science ID 000289623500003
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Assembly of finite element methods on graphics processors
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2011; 85 (5): 640-669
View details for DOI 10.1002/nme.2989
View details for Web of Science ID 000286775000007
- A discontinuous-Galerkin-based extended finite element method: immersed boundary perspective and optimal convergence 2011
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An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2010; 82 (6): 716-755
View details for DOI 10.1002/nme.2781
View details for Web of Science ID 000276914300003
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An adaptive stabilization strategy for enhanced strain methods in non-linear elasticity
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2010; 81 (11): 1387-1416
View details for DOI 10.1002/nme.2734
View details for Web of Science ID 000274925300002
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Stability and convergence proofs for a discontinuous-Galerkin-based extended finite element method for fracture mechanics
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
2010; 199 (37-40): 2360-2382
View details for DOI 10.1016/j.cma.2010.03.008
View details for Web of Science ID 000281487000004
- Explicit asynchronous contact algorithm for elastic-rigid body interaction edited by Zavarise, G., Wriggers, P. 2010
- Some new algorithmic ideas for the simulation of ballistic gel penetration 2010
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Role of surface roughness in hysteresis during adhesive elastic contact
PHILOSOPHICAL MAGAZINE LETTERS
2010; 90 (12): 891-902
Abstract
In experiments that involve contact with adhesion between two surfaces, as found in atomic force microscopy or nanoindentation, two distinct contact force (P) vs. indentation-depth (h) curves are often measured depending on whether the indenter moves towards or away from the sample. The origin of this hysteresis is not well understood and is often attributed to moisture, plasticity or viscoelasticity. Here we report experiments that show that hysteresis can exist in the absence of these effects, and that its magnitude depends on surface roughness. We develop a theoretical model in which the hysteresis appears as the result of a series of surface instabilities, in which the contact area grows or recedes by a finite amount. The model can be used to estimate material properties from contact experiments even when the measured P-h curves are not unique.
View details for DOI 10.1080/09500839.2010.521204
View details for Web of Science ID 000283319100005
View details for PubMedID 21152108
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A discontinuous-Galerkin-based immersed boundary method with non-homogeneous boundary conditions and its application to elasticity
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
2009; 198 (17-20): 1513-1534
View details for DOI 10.1016/j.cma.2009.01.018
View details for Web of Science ID 000265113400006
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A discontinuous-Galerkin-based immersed boundary method
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2008; 76 (4): 427-454
View details for DOI 10.1002/nme.2312
View details for Web of Science ID 000260351400001
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Stability of asynchronous variational integrators
JOURNAL OF COMPUTATIONAL PHYSICS
2008; 227 (18): 8367-8394
View details for DOI 10.1016/j.jcp.2008.05.017
View details for Web of Science ID 000258972000007
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A microstructurally informed model for the mechanical response of three-dimensional actin networks
COMPUTER METHODS IN BIOMECHANICS AND BIOMEDICAL ENGINEERING
2008; 11 (4): 407-418
Abstract
We propose a class of microstructurally informed models for the linear elastic mechanical behaviour of cross-linked polymer networks such as the actin cytoskeleton. Salient features of the models include the possibility to represent anisotropic mechanical behaviour resulting from anisotropic filament distributions, and a power law scaling of the mechanical properties with the filament density. Mechanical models within the class are parameterized by seven different constants. We demonstrate a procedure for determining these constants using finite element models of three-dimensional actin networks. Actin filaments and cross-links were modelled as elastic rods, and the networks were constructed at physiological volume fractions and at the scale of an image voxel. We show the performance of the model in estimating the mechanical behaviour of the networks over a wide range of filament densities and degrees of anisotropy.
View details for DOI 10.1080/10255840801888686
View details for Web of Science ID 000257669100008
View details for PubMedID 18568835
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Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Analytical estimates
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
2008; 197 (33-40): 2989-3000
View details for DOI 10.1016/j.cma.2008.02.022
View details for Web of Science ID 000257666400020
- Towards long-time simulation of soft-tissue simulant penetration 2008
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Adaptive stabilization of discontinuous Galerkin methods for nonlinear elasticity: Motivation, formulation, and numerical examples
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
2008; 197 (45-48): 3605-3622
View details for DOI 10.1016/j.cma.2008.02.020
View details for Web of Science ID 000259750600002
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Parallel asynchronous variational integrators
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2007; 70 (3): 291-321
View details for DOI 10.1002/nme.1880
View details for Web of Science ID 000245683900002
- Parallel Asynchronous Variational Integrators edited by Papadrakakis et al., M. 2007
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Discontinuous Galerkin methods for non-linear elasticity
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
2006; 67 (9): 1204-1243
View details for DOI 10.1002/nme.1667
View details for Web of Science ID 000239878200002
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Quantum mechanics based multiscale modeling of stress-induced phase transformations in iron
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
2006; 54 (6): 1276-1303
View details for DOI 10.1016/j.jmps.2005.11.009
View details for Web of Science ID 000237160000007
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Effective cohesive behavior of layers of interatomic planes
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
2006; 180 (2): 151-182
View details for DOI 10.1007/s00205-005-0399-9
View details for Web of Science ID 000235703100001
- Discontinuous Galerkin methods for nonlinear elasticity edited by Mota Soares et al., C., A. 2006
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Importance of shear in the bcc-to-hcp transformation in iron
PHYSICAL REVIEW LETTERS
2004; 93 (11)
Abstract
Iron shows a pressure-induced martensitic phase transformation from the ground state ferromagnetic bcc phase to a nonmagnetic hcp phase at approximately 13 GPa. The exact transformation pressure (TP) and pathway are not known. Here we present a multiscale model containing a quantum-mechanics-based multiwell energy function accounting for the bcc and hcp phases of Fe and a construction of kinematically compatible and equilibrated mixed phases. This model suggests that shear stresses have a significant influence on the bcc<-->hcp transformation. In particular, the presence of modest shear accounts for the scatter in measured TPs. The formation of mixed phases also provides an explanation for the observed hysteresis in TP.
View details for DOI 10.1103/PhysRevLett.93.115501
View details for Web of Science ID 000223794400030
View details for PubMedID 15447350
- Variational time integrators International Journal for Numerical Methods in Engineering 2004; 60: 153-212
- Optimal BV estimates for a discontinuous Galerkin method for linear elasticity Applied Mathematics Research eXpress 2004; 3
- An overview of variational integrators in Finite Element Methods: 1970's and Beyond volume dedicated to T. Hughes in his 60th birthday edited by Franca, L., P., Tezduyar, T., E., Masud, A. CIMNE, Barcelona. 2004: 1
- Asynchronous variational integrators Archive for Rational Mechanics & Analysis 2003; 2 (167): 85-146
- Bridging time-scales in solid dynamics: asynchronous variational integrators edited by Bathe, K., J. 2003
- An artificial-viscosity method for the Lagrangian analysis of shocks in solids with strength on unstructured, arbitrary order tetrahedral meshes Journal of Computer-Aided Materials Design 2001; 2-3 (8): 213-231
- Un programa general de elementos finitos en paralelo 1999