M. Rouainia et D. Peric, A COMPUTATIONAL MODEL FOR ELASTOVISCOPLASTIC SOLIDS AT FINITE STRAIN WITH REFERENCE TO THIN SHELL APPLICATIONS, International journal for numerical methods in engineering, 42(2), 1998, pp. 289-311
This work extends a previously developed methodology for computational
plasticity at finite strains that is based on the exponential map and
logarithmic stretches to the context of isotropic elasto-viscoplastic
solids. A particular form of the strain-energy function, given in ter
ms of its principal values is employed. It is noticeable that within t
he proposed framework the small strain integration algorithms, and the
corresponding consistent tangent operators, automatically extend to t
he finite strain regime. Central to the effort of this formulation is
the derivation of the closed form of a tangent modulus obtained by lin
earization of incremental non-linear problem. This ensures asymptotica
lly quadratic rates of convergence of the Newton-Raphson procedure in
the implicit finite element solution. To illustrate the performance of
the presented formulation, several numerical examples, involving fail
ure by strain localization and finite deformations, are given. (C) 199
8 John Wiley & Sons, Ltd.