A General Solution for Implicit Time Stepping Scheme in Rate-dependant Plasticity

Abstract

In this paper the derivation of the second differentiation of a general yield surface implicit time stepping method along with its consistent elastic-plastic modulus is studied. Moreover, the explicit, trapezoidal implicit and fully implicit time stepping schemes are compared in rate-dependant plasticity. It is shown that implementing fully implicit time stepping scheme in rate-dependant plasticity predicts experimental results more accurate than the other schemes.