The Earthquake Engineering Online Archive

Computational Methods for Inverse Finite Elastostatics

Govindjee, Sanjay; Mihalic, Paul A.

UCB/SEMM-1995/01, Dept. of Civil Engineering, University of California, Berkeley, 1995-02, 14 pages (500/C23/95/01)

In the inverse motion problem in finite hyper-elasticity, the classical formulation relies on conservation laws based on Eshelby's energy-momentum tensor. This formulation is shown to be lacking for a particular class of inverse motion problems where the deformed configuration and the Cauchy traction are given and the undeformed configuration must be calculated. For finite element calculations it is shown that a simple re-examination of the equilibrium equations provides a more suitable finite element formulation.

Available online: http://nisee.berkeley.edu/documents/SEMM/SEMM-95-01.pdf (973 KB)