A transformation method for implementing classical multi-yield-surface theory using the hardening rule of Mroz

Dar Yun Chiang, James L. Beck

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

A new method for implementing classical multi-yield-surface theory using the kinematic hardening rule of Mroz is proposed, in which a response formula describing initial loading is introduced, and further unloading and reloading response is then found by applying a transformation to the stress state variables involved in the initial loading formula. The validity of the new formulation is supported by previous experimental results for biaxial cyclic nonproportional loading. The rules governing the response behavior under arbitrary loading paths also serve as a generalization of the Masing model for one-dimensional hysteresis and they provide instructive insight into material behavior in cyclic plasticity, such as the property of erasure of memory.

Original languageEnglish
Pages (from-to)4239-4261
Number of pages23
JournalInternational Journal of Solids and Structures
Volume33
Issue number28
DOIs
Publication statusPublished - 1996 Nov

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering
  • Applied Mathematics

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