Modelling of cyclic creep in the finite strain range using a nested split of the deformation gradient

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12 Citations (Scopus)

Abstract

A new phenomenological model of cyclic creep, which is suitable for applications involving finite creep deformations of the material, is proposed. The model accounts for the effect of the transient increase of the creep strain rate upon the load reversal. In order to extend the applicability range of the model, the creep process is fully coupled to the classical Kachanov-Rabotnov damage evolution. As a result, the proposed model describes all the three stages of creep. Large strain kinematics is described in a geometrically exact manner using the assumption of a nested multiplicative split, originally proposed by Lion for finite strain plasticity. The model is thermodynamically admissible, objective, and w-invariant. The implicit time integration of the proposed evolution equations is discussed. The corresponding numerical algorithm is implemented into the commercial FEM code MSC.Marc. The model is validated using this code; the validation is based on real experimental data on cyclic torsion of a thick-walled tubular specimen made of the D16T aluminium alloy. The numerically computed stress distribution exhibits a “skeletal point” within the specimen, which simplifies the analysis of test data.

Original languageEnglish
Pages (from-to)1083-1099
Number of pages17
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Volume97
Issue number9
DOIs
Publication statusPublished - Sep 2017

Keywords

  • 74C20
  • 74D10
  • 74E10
  • 74S05
  • creep anisotropy
  • Cyclic creep
  • finite strain
  • Kachanov-Rabotnov damage
  • nested multiplicative split
  • BEHAVIOR
  • TENSION
  • VISCOPLASTICITY
  • SIMULATION
  • DAMAGE
  • HARDENING RULE
  • STAINLESS-STEEL
  • INTEGRATION
  • CONSTITUTIVE-EQUATIONS
  • STRESS

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