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Numerical coarsening of inhomogeneous elastic materials

Kharevych, Lily and Mullen, Patrick and Owhadi, Houman and Desbrun, Mathieu (2009) Numerical coarsening of inhomogeneous elastic materials. In: SIGGRAPH '09 ACM SIGGRAPH 2009 papers. , Art. No. 51. ISBN 978-1-60558-726-4. https://resolver.caltech.edu/CaltechAUTHORS:20161116-134645591

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Abstract

We propose an approach for efficiently simulating elastic objects made of non-homogeneous, non-isotropic materials. Based on recent developments in homogenization theory, a methodology is introduced to approximate a deformable object made of arbitrary fine structures of various linear elastic materials with a dynamicallysimilar coarse model. This numerical coarsening of the material properties allows for simulation of fine, heterogeneous structures on very coarse grids while capturing the proper dynamics of the original dynamical system, thus saving orders of magnitude in computational time. Examples including inhomogeneous and/or anisotropic materials can be realistically simulated in realtime with a numerically-coarsened model made of a few mesh elements.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1145/1576246.1531357DOIArticle
http://dl.acm.org/citation.cfm?doid=1576246.1531357PublisherArticle
ORCID:
AuthorORCID
Owhadi, Houman0000-0002-5677-1600
Desbrun, Mathieu0000-0003-3424-6079
Additional Information:© 2009 ACM. The authors wish to thank Yiying Tong for his comments and Keenan Crane for rendering assistance. This research was partially funded by the NSF (CCF-0811373, DMS-0453145, and CMMI-0757106), the DOE (DE-FG02-04ER25657), and Pixar Animation Studios.
Funders:
Funding AgencyGrant Number
NSFCCF-0811373
NSFDMS-0453145
NSFCMMI-0757106
Department of Energy (DOE)DE-FG02-04ER25657
Pixar Animation StudiosUNSPECIFIED
Subject Keywords:Homogenization, model coarsening, model reduction
Record Number:CaltechAUTHORS:20161116-134645591
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20161116-134645591
Official Citation:Lily Kharevych, Patrick Mullen, Houman Owhadi, and Mathieu Desbrun. 2009. Numerical coarsening of inhomogeneous elastic materials. In ACM SIGGRAPH 2009 papers (SIGGRAPH '09), Hugues Hoppe (Ed.). ACM, New York, NY, USA, , Article 51 , 8 pages. DOI=http://dx.doi.org/10.1145/1576246.1531357
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:72060
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:17 Nov 2016 00:52
Last Modified:03 Mar 2020 13:01

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