Nonlinear Elasticity

Based on an inexact method for elasticity measurement and design, we study a variety of implementation issues, including backtracking line search, initialization, regularization, and data samples.

We present a domain decomposition framework that connects two disjoint domains through coupling elements. Under this framework, we present a unified system that solves subspace deformations and rigid motions of all of the domains by a single linear solve.

We propose a piecewise linear elastic model that approximates nonlinear, anisotropic stretching and bending behaviors of various materials. We develop new measurement techniques for studying the elastic deformations in real cloth samples.