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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. ACM Transactions on Graphics, 28 (3). Art. No. 51. ISSN 0730-0301. https://resolver.caltech.edu/CaltechAUTHORS:20090911-153604312

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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 dynamically-similar 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:Article
Related URLs:
URLURL TypeDescription
http://doi.acm.org/10.1145/1531326.1531357PublisherUNSPECIFIED
http://dx.doi.org/10.1145/1531326.1531357DOIUNSPECIFIED
ORCID:
AuthorORCID
Owhadi, Houman0000-0002-5677-1600
Desbrun, Mathieu0000-0003-3424-6079
Additional Information:Copyright © 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 EnergyDE-FG02-04ER25657
PixarUNSPECIFIED
Subject Keywords:homogenization; model coarsening; model reduction
Issue or Number:3
Record Number:CaltechAUTHORS:20090911-153604312
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20090911-153604312
Official Citation:Kharevych, L., Mullen, P., Owhadi, H., Desbrun, M. 2009. Numerical Coarsening of Inhomogeneous Elastic Materials. ACM Trans. Graph. 28, 3, Article 51 (August 2009), 8 pages. DOI = 10.1145/1531326.1531357 http://doi.acm.org/10.1145/1531326.1531357
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15822
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:22 Sep 2009 19:06
Last Modified:03 Mar 2020 13:01

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