Internal instability as a possible failure mechanism for layered composites

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Abstract

This paper revisits a three-dimensional analytical approach to study internal instability in layered composites, when the behaviour of each component of the material is described by the three-dimensional equations of solid mechanics. It shows the development of a unified computational procedure for numerical realization of the three-dimensional analytical method as applied to various constitutive equations of the layers and fibres, and different loading schemes (uniaxial or biaxial loading). The paper also contains many examples of calculation of critical controlled parameters for particular composites as well as analysis of different buckling modes. The results of this method can be used as a benchmark for simplified models.

This article is part of the themed issue ‘Multiscale modelling of the structural integrity of composite materials’.
Original languageEnglish
Article number20160019
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences
Volume374
Issue number2071
Early online date30 May 2016
DOIs
Publication statusPublished - 13 Jul 2016

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Failure Mechanism
Composite
Internal
Three-dimensional
composite materials
Composite materials
solid mechanics
Solid Mechanics
Multiscale Modeling
Biaxial
constitutive equations
Structural integrity
buckling
Constitutive Equation
Composite Materials
Constitutive equations
Buckling
Analytical Methods
integrity
Integrity

Keywords

  • compression
  • layered composites
  • analytical solutions
  • microstructure
  • interfacial adhesion

Cite this

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title = "Internal instability as a possible failure mechanism for layered composites",
abstract = "This paper revisits a three-dimensional analytical approach to study internal instability in layered composites, when the behaviour of each component of the material is described by the three-dimensional equations of solid mechanics. It shows the development of a unified computational procedure for numerical realization of the three-dimensional analytical method as applied to various constitutive equations of the layers and fibres, and different loading schemes (uniaxial or biaxial loading). The paper also contains many examples of calculation of critical controlled parameters for particular composites as well as analysis of different buckling modes. The results of this method can be used as a benchmark for simplified models.This article is part of the themed issue ‘Multiscale modelling of the structural integrity of composite materials’.",
keywords = "compression, layered composites, analytical solutions, microstructure, interfacial adhesion",
author = "Guz, {I A} and M Menshykova and C Soutis",
note = "Funding Financial support of part of this research by The Royal Society, The Royal Society of Edinburgh, The Royal Academy of Engineering and The Carnegie Trust for the Universities of Scotland is gratefully acknowledged.",
year = "2016",
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language = "English",
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journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences",
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T1 - Internal instability as a possible failure mechanism for layered composites

AU - Guz, I A

AU - Menshykova, M

AU - Soutis, C

N1 - Funding Financial support of part of this research by The Royal Society, The Royal Society of Edinburgh, The Royal Academy of Engineering and The Carnegie Trust for the Universities of Scotland is gratefully acknowledged.

PY - 2016/7/13

Y1 - 2016/7/13

N2 - This paper revisits a three-dimensional analytical approach to study internal instability in layered composites, when the behaviour of each component of the material is described by the three-dimensional equations of solid mechanics. It shows the development of a unified computational procedure for numerical realization of the three-dimensional analytical method as applied to various constitutive equations of the layers and fibres, and different loading schemes (uniaxial or biaxial loading). The paper also contains many examples of calculation of critical controlled parameters for particular composites as well as analysis of different buckling modes. The results of this method can be used as a benchmark for simplified models.This article is part of the themed issue ‘Multiscale modelling of the structural integrity of composite materials’.

AB - This paper revisits a three-dimensional analytical approach to study internal instability in layered composites, when the behaviour of each component of the material is described by the three-dimensional equations of solid mechanics. It shows the development of a unified computational procedure for numerical realization of the three-dimensional analytical method as applied to various constitutive equations of the layers and fibres, and different loading schemes (uniaxial or biaxial loading). The paper also contains many examples of calculation of critical controlled parameters for particular composites as well as analysis of different buckling modes. The results of this method can be used as a benchmark for simplified models.This article is part of the themed issue ‘Multiscale modelling of the structural integrity of composite materials’.

KW - compression

KW - layered composites

KW - analytical solutions

KW - microstructure

KW - interfacial adhesion

U2 - 10.1098/rsta.2016.0019

DO - 10.1098/rsta.2016.0019

M3 - Article

VL - 374

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences

SN - 1364-503X

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