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| 1979 - 1982 | Research Assistant, Department of Civil Engineering, University of California, Berkeley, CA, USA | | 1981 | PhD, University of California, Berkeley, CA, USA (thesis advisor: E.P. Popov) | | 1982 - 1983 | Postdoctoral Fellow, Department of Mathematics, Ministry of Public Works, Madrid, Spain | | 1983 - 1984 | Research Scientist, Computational Hydrodynamics Program, Department of Coasts and Harbors, Ministry of Public Works, Madrid, Spain | | 1984 - 1987 | Assistant Professor of Engineering, Brown University, RI, USA | | 1987 - 1990 | Associate Professor of Engineering, Brown University, RI, USA | | 1990 - 1995 | Professor of Engineering, Brown University, RI, USA | | 1995 - 2004 | Professor of Aeronautics and Mechanical Engineering, California Institute of Technology, CA, USA | | 2004 - 2013 | Dotty and Dick Hayman Professor of Aeronautics and Mechanical Engineering, California Institute of Technology, CA, USA | | 2008 - 2013 | Director, Caltech’s DoE/PSAAP Center for the Predictive Modeling and Simulation of High-Energy Density Dynamic Response of Materials, CA, USA | | Since 2013 | Frank and Ora Lee Marble Professor of Aeronautics and Mechanical Engineering, California Institute of Technology, CA, USA | | Since 2016 | Bonn Research Chair, University of Bonn |
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Research Area B
I am interest in mathematically based materials modelling and computational mechanics. A particular focus in this research area is on variational methods that allow to predict the effective behaviour of many dislocations and other imperfections in solids, with a view towards macroscopic models for failure. While the low-stress deformation of metals is almost completely characterized by the theory of elasticity, a variety of other deformation mechanisms appear at large stresses. Materials undergo damage, cavitation, plastic deformation, and fracture. Many of these processes are mediated by the creation and motion of dislocations, which are localized defects of the crystal lattice and can be seen as line-singularities of the elastic strain field. Although the existence of dislocations has been known for a century and many properties are phenomenologically well understood, there are many open questions. Analogously local damage, including in particular microvoids and cavities, plays a fundamental role in the development of fracture, but the relation between dislocations, damage and plasticity is up to now only understood at a phenomenological level. My particular interest is in the study of dislocation structures and their interaction and the modeling and analysis of ductile fracture starting from a model which accounts for the formation of microscopic voids and localization of tensile deformation. |
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[ 1] M. Arroyo, M. Ortiz
Local maximum-entropy approximation schemes: a seamless bridge between finite elements and meshfree methods
Internat. J. Numer. Methods Engrg. , 65: (13): 2167--2202
2006
DOI: 10.1002/nme.1534[ 2] Q. Yang, L. Stainier, M. Ortiz
A variational formulation of the coupled thermo-mechanical boundary-value problem for general dissipative solids
J. Mech. Phys. Solids , 54: (2): 401--424
2006
DOI: 10.1016/j.jmps.2005.08.010[ 3] Vikram Gavini, Kaushik Bhattacharya, Michael Ortiz
Quasi-continuum orbital-free density-functional theory: a route to multi-million atom non-periodic DFT calculation
J. Mech. Phys. Solids , 55: (4): 697--718
2007
DOI: 10.1016/j.jmps.2007.01.012[ 4] Q. Yang, A. Mota, M. Ortiz
A Finite-Deformation Constitutive Model of Bulk Metallic Glass Plasticity
Computational Mechanics , 37: (2): 194--204
2006
DOI: 10.1007/s00466-005-0690-5[ 5] Yashashree Kulkarni, Jaroslaw Knap, Michael Ortiz
A variational approach to coarse graining of equilibrium and non-equilibrium atomistic description at finite temperature
J. Mech. Phys. Solids , 56: (4): 1417--1449
2008
DOI: 10.1016/j.jmps.2007.09.005[ 6] K. Weinberg, A. Mota, M. Ortiz
A variational constitutive model for porous metal plasticity
Computational Mechanics , 37: (2): 142--152
2006
DOI: 10.1007/s00466-005-0685-2[ 7] Sigrid Leyendecker, Jerrold E. Marsden, Michael Ortiz
Variational integrators for constrained dynamical systems
ZAMM Z. Angew. Math. Mech. , 88: (9): 677--708
2008
DOI: 10.1002/zamm.200700173[ 8] Tamer El Sayed, Alejandro Mota, Fernando Fraternali, Michael Ortiz
Biomechanics of traumatic brain injury
Computer Methods in Applied Mechanics and Engineering , 197: (51): 4692--4701
Publisher: Elsevier
2008[ 9] Phanish Suryanarayana, Vikram Gavini, Thomas Blesgen, Kaushik Bhattacharya, Michael Ortiz
Non-periodic finite-element formulation of Kohn-Sham density functional theory
J. Mech. Phys. Solids , 58: (2): 256--280
2010
DOI: 10.1016/j.jmps.2009.10.002[ 10] C. J. Cyron, M. Arroyo, M. Ortiz
Smooth, second order, non-negative meshfree approximants selected by maximum entropy
Internat. J. Numer. Methods Engrg. , 79: (13): 1605--1632
2009
DOI: 10.1002/nme.2597 |
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Current Editorships:
• International Journal for Numerical Methods in Engineering (since 1996)
• Computer Methods in Applied Mechanics and Engineering (since 1996)
• Journal of the Mechanics and Physics of Solids (since 1999)
• Archive for Rational Mechanics and Analysis (since 1999)
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| 1977 - 1978 | Fulbright Scholarship, University of California, Berkeley, CA, USA | | 1994 - 1995 | Sherman Fairchild Distinguished Scholar, California Institute of Technology, CA, USA | | 2002 | Humboldt Research Award for Senior U.S. Scientists, Alexander von Humboldt Stiftung, Germany | | 2002 | Computational Mechanics Award for Research, International Association for Computational Mechanics (IACM) | | 2007 | Computational Structural Mechanics Award, U. S. Association for Computational Mechanics (USACM) | | 2007 | Elected Fellow of the U. S. American Academy of Arts & Sciences | | 2008 | Rodney Hill Prize, Intl. Union of Theoretical and Applied Mechanics (IUTAM) | | 2010 | Hans Fischer Senior Fellowship, Institute for Advanced Study, TU Munich, Germany | | 2011 | Prize of the Spanish Association for Numerical Methods in Engineering (SEMNI) | | 2013 | Elected Member of the U. S. National Academy of Engineering | | 2014 | IUTAM Symposium in honour of 60th birthday, Burg Schnellenberg, Germany | | 2015 | Timoshenko Medal, American Society of Mechanical Engineers (ASME) | | 2016 | Journal of the Mechanics and Physics of Solids, 60th Birthday Special Volume | | 2018 | Doctorate Honoris Causa, Polytechnic Universidad of Madrid (UPM) |
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| Recent Plenary Lectures | | 2007 | 49th British Applied Mathematics Colloquium, BAMC 2007, Bristol, England, UK | | 2007 | 9th Intl. Conf. Computational Plasticity, COMPLAS IX, Barcelona, Spain | | 2008 | 8th World Congress on Computational Mechanics, Opening Lecture, Venice, Italy | | 2008 | 22nd Intl. Con. Theoretical & Applied Mechanics, Hill Medal Lecture, Adelaide, SA, Australia | | 2009 | 10th Intl. Conf. Computational Plasticity, COMPLAS X, Barcelona, Spain | | 2010 | Fifth Intl. Conference on Multiscale Materials Modelling, MMM2010, Freiburg | | 2010 | IX Argentinean Congress Comput. Mech., MECOM2010, Buenos Aires, Argentina | | 2011 | Congress on Numerical Methods in Engineering, CNME2011, Coimbra, Portugal | | 2011 | 11th Intl. Conf. Computational Plasticity, COMPLAS XI, Barcelona, Spain | | 2012 | European Solids Mechanics Conference, ESMC2012, Graz, Austria | | 2012 | European Congress Comp. Meth. Appl. Sci. Engr., ECCOMAS 2012, Vienna, Austria | | 2013 | 12th Intl. Conf. Computational Plasticity, COMPLAS XII, Barcelona, Spain | | 2014 | 11th World Congress on Computational Mechanics, WCCM XI, Barcelona, Spain | | 2015 | Intl. Conf. Computational Modelling of Fracture, CFRAC, Paris, France | | 2015 | 13th Intl. Conf. Computational Plasticity, COMPLAS XIII, Barcelona, Spain | | 2015 | American Society of Mechanical Engineers, Timoshenko Lecture, Houston, TX, USA | | 2017 | Comp. Modeling Complex Materials Across Scales, ECCOMAS CMCS 2017, Paris, France | | 2017 | 14th Intl. Conf. Computational Plasticity, COMPLAS XIV, Barcelona, Spain |
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Bo Li (2009): “The optimal transportation method in solid mechanics”,
now Assistant Professor, Case Western Reserve University, OH, USA
Leonard J. Lucas (2009): “Uncertainty quantification using concentration-of-measure inequalities”,
now Senior Engineer, Bechtel Marine Propulsion Corporation, USA
Julian J. Rimoli (2009): “A computational model for intergranular stress corrosion cracking”,
now Assistant Professor, Georgia Institute of Technology, GA, USA
Benjamin L. Hansen (2009): “Modeling metallic single crystal plastic hardening through the evolution of dislocation subgrain structures”,
now Scientist, Theoretical Division, Los Alamos National Laboratory, USA
Daniel Hurtado (2010): “Multiscale modeling of microcrystalline materials”,
now Associate Professor, Pontifical Catholic University of Chile, Santiago de Chile, Chile
Celia Reina (2010): “Multiscale modeling and simulation of damage by void nucleation and growth”,
now Assistant Professor, University of Pennsylvania, Philadelphia, PA, USA
Luigi Perotti (2010): “Modeling the behavior of fiber reinforced sandwich structures subjected to underwater explosions”,
now Postdoctoral Scholar, University of California, Los Angeles, CA, USA
Gabriela Venturini (2010): “Topics in multiscale modeling of metals and metallic alloys”,
now Software Engineer, DreamWorks Animation, CA, USA, and Adjunct Professor, Occidental College, CA, USA
Marcial Gonzalez (2010): “Energy and force stepping integrators in Lagrangian mechanics”,
now Assistant Professor, Purdue University, IN, USA
Gwendolyn (Gwen) Johnson (2012): “Modeling, simulation, and design of self-assembling space systems: accurate collision detection, robust time integration, and optimal control”,
now Assistant Professor, Notre Dame University, South Bend, IN, USA
Landry Fokoua Djodom (2013): “Optimal scaling in ductile fracture”,
now Researcher, Exalon, Baltimore, MD, USA
Stefanie Heyden (2014): “Micromechanical damage and fracture in elastomeric polymers”,
now Academic Staff, University of Bonn
Panagiotis P. Natsiavas (2016): “Stability of electrode-electrolyte interfaces during charging in lithium batteries”,
now Postdoctoral Fellow, Massachusetts Institute of Technology, Cambridge, MA, USA
Brandon Runnels (2016): “A model for energy and morphology of crystalline grain boundaries with arbitrary geometric character”,
now Assistant Professor, University of Colorado, Colorado Springs, CO, USA
Trenton T. Kirchdoerfer (2017): “Data-Driven Computing”,
now Postdoctoral Scholar, California Institute of Technology, Pasadena, CA, USA
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- Diplom theses: 3
- PhD theses: 51
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