Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 200, Issue 25-28, Pages 2181-2194Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2011.03.010
Keywords
Contact; Impact; Variational integrators
Funding
- Sloan Foundation
- NSF [IIS-05-28402, 11S-09-16129, CNS-06-14770, CCF-06-43268]
- Amazon Elastic Compute Cloud
- Adobe
- ATI
- Autodesk
- NVIDIA
- Side Effects Software
- Walt Disney Company
- Weta Digital
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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.
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