Two stress update algorithms for large strains: accuracy analysis and numerical implementation
Two algorithms for the stress update (ie time integration of the constitutive equation) in large-strain solid mechanics are compared from an analytical point of view. The order of the truncation error associated to the numerical integration is deduced for each algorithm a priori, using standard numerical analysis. This accuracy analysis has been performed by means of a convected frame formalism, which also allows a unified derivation of both algorithms in spite of their inherent differences. Then the two algorithms are adapted from convected frames to a fixed Cartesian frame and implemented in a small-strain finite element code. The implementation is validated be means of a set of simple deformation paths and two benchmark tests in non-linear mechanics. In these numerical tests, the observed order of convergence is in very good agreement with the theoretical order of convergence, thus corroborating the accuracy analysis.
Bibliographic Reference: Article: International Journal for Numerical Methods in Engineering, Vol. 40 (1997), pp. 4363-4404
Record Number: 199810497 / Last updated on: 1998-05-05
Original language: en
Available languages: en