Sensitivity Analysis of Hyperelastic-Viscoplastic Solids Undergoing Large Deformations
Resource
Computational Mechanics, v.15 n.2 p.101-116
Journal
Computational Mechanics
Journal Volume
v.15 n.2 p.101-116
Pages
-
Date Issued
1994
Date
1994
Author(s)
Abstract
This paper presents a new algorithm for sensitivity recovery in nonlinear solid mechanics problems. The material behavior is modeled by a unified viscoplastic constitutive model, together with a hyperelastic law. This algorithm is derived by the direct differentiation approach (DDA). The accuracy of this scheme is validated through several numerical tests. The agreement between the results obtained by the present method, and those from analytical or direct integration methods, is excellent. This algorithm can be implemented in a sensitivity version of the standard finite element method (FEM) or boundary element method (BEM) to obtain sensitivity coefficients for more general problems such as those for metal forming processes. © 1994 Springer-Verlag.
SDGs
Type
journal article