Some considerations in the endochronic description of anisotropic hardening

Wu, Han; Yeh, Wei Ching

doi:10.1007/bf01175714

Cited by 17 publications

(1 citation statement)

References 19 publications

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“…Someone may tend to deem, in view of similarity of appearances, the strain-controlled integral-equation representation developed herein to be a new version of the endochronic theory, as a constructive reinforcement and reform to the first and second versions of the theory [12] - [14]. However, it is observed that the intrinsic time of each of the four representations is not only related to the property of material but also depends explicitly on the history of input.…”

Section: Discussionmentioning

confidence: 99%

Integral-equation representations of flow elastoplasticity derived from rate-equation models

Hong

Liou

1993

Acta Mechanica

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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.

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Section: Discussionmentioning

confidence: 99%