Accuracy of a continuum fracture theory for non-linear composite materials under large deformations in biaxial compression

Igor Guz, C. Soutis

Research output: Contribution to journalArticle

Abstract

The accuracy of a continuum theory of fracture is examined analytically for layered incompressible non-linear composites undergoing large deformations in biaxial compression. The investigation is illustrated by numerical results for the particular models of hyperelastic layers with the elastic potential of neo-Hookean type (Treloar's potential).
Original languageEnglish
Pages (from-to)S849-S850
Number of pages2
JournalJournal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
Volume81
Issue numberS4
Publication statusPublished - 2001

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Biaxial
Large Deformation
Composite Materials
Compaction
Continuum
Compression
Composite
Numerical Results
Composite materials
Model

Keywords

  • incompressible material
  • accuracy
  • stability
  • asymptomatic behavior
  • hyperelastic material
  • elastic layer
  • continuum
  • biaxial compression
  • deformation
  • non linear material
  • fracture mechanics
  • composite material

Cite this

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title = "Accuracy of a continuum fracture theory for non-linear composite materials under large deformations in biaxial compression",
abstract = "The accuracy of a continuum theory of fracture is examined analytically for layered incompressible non-linear composites undergoing large deformations in biaxial compression. The investigation is illustrated by numerical results for the particular models of hyperelastic layers with the elastic potential of neo-Hookean type (Treloar's potential).",
keywords = "incompressible material, accuracy, stability, asymptomatic behavior, hyperelastic material, elastic layer, continuum, biaxial compression, deformation, non linear material, fracture mechanics, composite material",
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T1 - Accuracy of a continuum fracture theory for non-linear composite materials under large deformations in biaxial compression

AU - Guz, Igor

AU - Soutis, C.

PY - 2001

Y1 - 2001

N2 - The accuracy of a continuum theory of fracture is examined analytically for layered incompressible non-linear composites undergoing large deformations in biaxial compression. The investigation is illustrated by numerical results for the particular models of hyperelastic layers with the elastic potential of neo-Hookean type (Treloar's potential).

AB - The accuracy of a continuum theory of fracture is examined analytically for layered incompressible non-linear composites undergoing large deformations in biaxial compression. The investigation is illustrated by numerical results for the particular models of hyperelastic layers with the elastic potential of neo-Hookean type (Treloar's potential).

KW - incompressible material

KW - accuracy

KW - stability

KW - asymptomatic behavior

KW - hyperelastic material

KW - elastic layer

KW - continuum

KW - biaxial compression

KW - deformation

KW - non linear material

KW - fracture mechanics

KW - composite material

M3 - Article

VL - 81

SP - S849-S850

JO - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)

JF - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)

SN - 0044-2267

IS - S4

ER -