The effect of the multi-axiality of compressive loading on the accuracy of a continuum model for layered materials

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Abstract

Two methods of analysis of the internal instability of layered materials are discussed: the continuum approach and the piecewise-homogeneous medium model. Based on the results obtained within the scope of the model of a piecewise-homogeneous medium and the 3-D stability theory, the accuracy of a continuum theory is examined for incompressible non-linear materials undergoing large deformations. Two different loading conditions are compared: biaxial and uni-axial compression. The effect of the multi-axiality of loading on the accuracy of the continuum theory is determined for the particular model of hyperelastic layers described by the Treloar's potential (i.e. by a neo-Hookean type potential), which is a simplified version of the Mooney's elastic potential. (C) 2004 Elsevier Ltd. All rights reserved.

Original languageEnglish
Pages (from-to)439-453
Number of pages16
JournalInternational Journal of Solids and Structures
Volume42
Issue number2
DOIs
Publication statusPublished - 2005

Keywords

  • layered materials
  • instability
  • compression
  • continuum
  • non-linear
  • large deformation
  • homogenisation
  • hyperelastic materials
  • microstructure
  • nonaxissymmetric problems
  • laminated materials
  • composite-materials
  • stability theory
  • deformations
  • fracture
  • failure

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