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

Cite this

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title = "The effect of the multi-axiality of compressive loading on the accuracy of a continuum model for layered materials",
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.",
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",
author = "Igor Guz",
year = "2005",
doi = "10.1016/j.ijsolstr.2004.06.039",
language = "English",
volume = "42",
pages = "439--453",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",
number = "2",

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TY - JOUR

T1 - The effect of the multi-axiality of compressive loading on the accuracy of a continuum model for layered materials

AU - Guz, Igor

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

KW - layered materials

KW - instability

KW - compression

KW - continuum

KW - non-linear

KW - large deformation

KW - homogenisation

KW - hyperelastic materials

KW - microstructure

KW - nonaxissymmetric problems

KW - laminated materials

KW - composite-materials

KW - stability theory

KW - deformations

KW - fracture

KW - failure

U2 - 10.1016/j.ijsolstr.2004.06.039

DO - 10.1016/j.ijsolstr.2004.06.039

M3 - Article

VL - 42

SP - 439

EP - 453

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 2

ER -