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April 27, 2026International Journal of Solids and Structures0 citationsOpen Access

Consistent treatment of ageing-time evolution in McCormick type material models

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LRLars RoseAMAndreas Menzel

Key Points

  • The aim is to improve the prediction of dynamic strain ageing in McCormick-type material models.
  • Proposed an adapted evolution equation linking ageing-time to yield surface.
  • Revised classical predictor-corrector scheme for consistency.
  • Established two return-mapping algorithms for classifying material states.
  • Both new approaches retain predictive capability of original model.
  • Demonstrated consistent evolution of internal variables through numerical and experimental data.

Abstract

This work enhances conventional constitutive models for dynamic strain ageing (DSA) based on McCormick’s ageing-time evolution, which incorrectly predicts continuous hardening even within loading stages without plastic flow. An adapted evolution equation is proposed that ties ageing-time progression to the yield surface, ensuring that DSA develops only when dislocations are energetically inclined to glide. To implement such a model consistently, the classical predictor–corrector scheme is revised, and two alternative return-mapping algorithms are established to ensure robust classification of elastic, pseudo-elastic, and plastic states. Numerical examples and experimental data demonstrate that both approaches maintain the predictive capability of the original model while ensuring a consistent and physically meaningful evolution of internal variables.

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Cite This Study

Rose et al. (2026) studied this question.

synapsesocial.com/papers/69eefd82fede9185760d4306https://doi.org/10.1016/j.ijsolstr.2026.114030
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