Integral-Equation Representations of Flow Elastoplasticity Derived from Rate-Equation Models
Resource
Acta Mechanica, Vol.96, pp.181-202
Journal
Acta Mechanica
Journal Volume
Vol.96
Pages
181-202
Date Issued
1993
Date
1993
Author(s)
Abstract
Two integral-equation representations are presented in this paper, based on the exact integrations of the conventional rate-equation model of associative J2 flow elastoplasticity with combined-isotropic-kinematic hardening-softening. Among them the strain-controlled integral-equation representation has two new naturally defined material functions Y(Z) and U(Z) of the normalized active work Z, which plays the role of intrinsic time. One of the immediate benefits derivable from the new representations is, owing to the explicit unfolding of the highly nonlinear path-dependence between stress and strain without a detour to the evolutions of internal state variables, their adaptability for direct calculations without any iteration. Indeed, it is itself a constructive algorithm. It is shown that at a realistic level of precision, the strain-controlled integral-equation representation saves 99% or more of the CPU time compared with the widely used elastic predictor-radial return algorithm of the rate-equation representation. © 1993 Springer-Verlag.
Type
journal article
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