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- Fehmi Cirak, Michael Ortiz, Peter Schr oder
- 2000

We develop a new paradigm for thin-shell finite-element analysis based on the use of subdivision surfaces for: i) describing the geometry of the shell in its undeformed configuration, and ii)â€¦ (More)

- M. Arroyo, Michael Ortiz
- 2005

We present a one-parameter family of approximation schemes, which we refer to as local maximumentropy approximation schemes, that bridges continuously two important limits: Delaunay triangulation andâ€¦ (More)

The purpose of this paper is to review and further develop the subject of variational integration algorithms as it applies to mechanical systems of engineering interest. In particular, theâ€¦ (More)

We describe a new class of asynchronous variational integrators (AVI) for nonlinear elastodynamics. The AVIs are distinguished by the following attributes: (i) The algorithms permit the selection ofâ€¦ (More)

- Razvan C. Fetecau, Jerrold E. Marsden, Michael Ortiz, Matthew West
- SIAM J. Applied Dynamical Systems
- 2003

Variational techniques are used to analyze the problem of rigid-body dynamics with impacts. The theory of smooth Lagrangian mechanics is extended to a nonsmooth context appropriate for collisions andâ€¦ (More)

A Lagrangian nite elementmodel of orthogonal high-speed machining is developed. Continuous remeshing and adaptive meshing are the principal tools which we employ for sidestepping the di cultiesâ€¦ (More)

- Fehmi Cirak, Michael Ortiz
- 2001

We have extended the subdivision shell elements of Cirak et al. [18] to the ,nite-deformation range. The assumed ,nite-deformation kinematics allows for ,nite membrane and thickness stretching, asâ€¦ (More)

The physical basis of computationally tractable models of crystalline plasticity is reviewed. A statistical mechanical model of dislocation motion through forest dislocations is formulated. Followingâ€¦ (More)

- Houman Owhadi, Clint Scovel, Timothy John Sullivan, Mike McKerns, Michael Ortiz
- SIAM Review
- 2013

We propose a rigorous framework for uncertainty quantification (UQ) in which the UQ objectives and its assumptions/information set are brought to the forefront. This framework, which we call optimalâ€¦ (More)

- M. P. Ariza, Michael Ortiz
- 2005

This article is concerned with the development of a discrete theory of crystal elasticity and dislocations in crystals. The theory is founded upon suitable adaptations to crystal lattices of elementsâ€¦ (More)