Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published August 2009 | public
Journal Article

Numerical coarsening of inhomogeneous elastic materials


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.

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.

Additional details

August 21, 2023
October 19, 2023