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.
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