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Asynchronous variational contact mechanics

delete2011-06-01
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OA
AI
E
Etienne Vouga *
D
David Harmon
R
Rasmus Tamstorf
E
Eitan Grinspun
DOI:10.1016/j.cma.2011.03.010delete
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Abstract

Abstract

En 中文
An asynchronous, variational method for simulating elastica in complex contact and impact scenarios is developed. Asynchronous variational integrators [1] (AVIs) are extended to handle contact forces by associating different time steps to forces instead of to spatial elements. By discretizing a barrier potential by an infinite sum of nested quadratic potentials, these extended AVIs are used to resolve contact while obeying momentum- and energy-conservation laws. A series of two- and three-dimensional examples illustrate the robustness and good energy behavior of the method. (C) 2011 Elsevier B.V. All rights reserved.
Keywords:
Contact
Impact
Variational integrators
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Journal

Computer Methods in Applied Mechanics and Engineering cover
Computer Methods in Applied Mechanics and Engineering
IF:
7.3
Papers:
1.3W
Citations:
5.6W

Organization

C
Columbia University
Scholars:
7.1W
Papers: 6.4W
Citations: 263
W
walt disney company
Scholars:
75
Papers: 42
Citations: 0