Extending uniaxial material laws to multiaxial constitutive relations: H-approach

A. V. Shutov, P. P. Laktionov, Y. S. Nekrasova

Research output: Contribution to journalArticlepeer-review

Abstract

A simple method is presented, allowing us to extend any one-dimensional material model to a general material law suitable for arbitrary multiaxial loading conditions. The resulting system of constitutive equations respects the general principles of constitutive modelling, thus preserving thermodynamic consistency and objectivity. The method is based on a certain modification of the concept of representative directions. Since it operates with logarithmic Hencky strains we call it H-approach. In contrast to the conventional concept of representative directions, which we call now C-approach, the H-approach does not require artificial deviatorization of the stress tensor. Moreover, the H-approach allows one to model initially isotropic materials with a smaller number of representative directions, thus reducing the computational costs. The performance of the H-approach regarding the description of second-order effects under simple shear is tested. The flexibility of the H-approach in describing mechanical response of a real material is also demonstrated. Toward that end, a complex mechanical behaviour of certain electrospun polymer is rendered.

Original languageEnglish
Article number103937
Number of pages9
JournalEuropean Journal of Mechanics, A/Solids
Volume81
DOIs
Publication statusPublished - 1 May 2020

Keywords

  • Concept of representative directions
  • Constitutive modelling
  • Electrospun polymer
  • Finite strains
  • Hencky strain
  • ELASTICITY
  • TENSORS
  • SPHERE MODEL
  • MICRO-MACRO APPROACH
  • FIBER DISPERSION
  • RUBBER-LIKE MATERIALS

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