M
Michael Ortiz
Researcher at California Institute of Technology
Publications - 489
Citations - 34601
Michael Ortiz is an academic researcher from California Institute of Technology. The author has contributed to research in topics: Finite element method & Dislocation. The author has an hindex of 87, co-authored 467 publications receiving 31582 citations. Previous affiliations of Michael Ortiz include Complutense University of Madrid & University of Seville.
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Importance of shear in the bcc-to-hcp transformation in iron.
TL;DR: 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 suggests that shear stresses have a significant influence on the bCC<-->hcp transformation.
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Time-discretized variational formulation of non-smooth frictional contact
TL;DR: In this article, the authors extended the non-smooth contact class of algorithms introduced by Kane et al. to the case of friction, where the incremental displacements follow from a minimum principle and the objective function comprises terms which account for inertia, strain energy, contact, friction and external forcing.
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A cohesive approach to thin-shell fracture and fragmentation
TL;DR: In this paper, a finite-element method for the simulation of dynamic fracture and fragmentation of thin-shells is developed, where the shell is spatially discretized with subdivision shell elements and the fracture along the element edges is modeled with a cohesive law.
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Non-periodic finite-element formulation of Kohn–Sham density functional theory
TL;DR: A real-space, non-periodic, finite-element formulation for Kohn–Sham density functional theory (KS-DFT) is presented, which is transformed into a local saddle-point problem, and its well-posedness is shown by proving the existence of minimizers.
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Discrete Crystal Elasticity and Discrete Dislocations in Crystals
M.P. Ariza,Michael Ortiz +1 more
TL;DR: In this article, a discrete theory of crystal elasticity and dislocations in crystal lattices is proposed, based on algebraic topology and differential calculus such as chain complexes and homology groups, differential forms and operators.