A generalised formulation for computing the microbuckling load in periodic layered materials

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Abstract

The present paper develops a generalised approach to instability of layered materials for numerical realisation of the method as applied to various constitutive equations of the layers (elastic, hyperelastic, elastic–plastic), different loading schemes (uniaxial or biaxial loading) and different precritical conditions (large or small precritical deformations). It contains many examples of calculations of critical controlled parameters for particular model materials as well as the analysis of different buckling modes.
Original languageEnglish
Pages (from-to)155-171
Number of pages17
JournalJournal of Engineering Mathematics
Volume95
Issue number1
Early online date25 Dec 2014
DOIs
Publication statusPublished - Dec 2015

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Formulation
Computing
Biaxial
Constitutive Equation
Constitutive equations
Buckling
Model

Keywords

  • analytical solution
  • compression
  • layered materials
  • microbuckling
  • microstructure

Cite this

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title = "A generalised formulation for computing the microbuckling load in periodic layered materials",
abstract = "The present paper develops a generalised approach to instability of layered materials for numerical realisation of the method as applied to various constitutive equations of the layers (elastic, hyperelastic, elastic–plastic), different loading schemes (uniaxial or biaxial loading) and different precritical conditions (large or small precritical deformations). It contains many examples of calculations of critical controlled parameters for particular model materials as well as the analysis of different buckling modes.",
keywords = "analytical solution, compression, layered materials, microbuckling, microstructure",
author = "Igor Guz and Marina Menshykova and Oleksandr Menshykov",
note = "Acknowledgments The financial support of the part of this research by The Royal Society, The Royal Academy of Engineering and The Carnegie Trust for the Universities of Scotland is gratefully acknowledged.",
year = "2015",
month = "12",
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journal = "Journal of Engineering Mathematics",
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AU - Guz, Igor

AU - Menshykova, Marina

AU - Menshykov, Oleksandr

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

PY - 2015/12

Y1 - 2015/12

N2 - The present paper develops a generalised approach to instability of layered materials for numerical realisation of the method as applied to various constitutive equations of the layers (elastic, hyperelastic, elastic–plastic), different loading schemes (uniaxial or biaxial loading) and different precritical conditions (large or small precritical deformations). It contains many examples of calculations of critical controlled parameters for particular model materials as well as the analysis of different buckling modes.

AB - The present paper develops a generalised approach to instability of layered materials for numerical realisation of the method as applied to various constitutive equations of the layers (elastic, hyperelastic, elastic–plastic), different loading schemes (uniaxial or biaxial loading) and different precritical conditions (large or small precritical deformations). It contains many examples of calculations of critical controlled parameters for particular model materials as well as the analysis of different buckling modes.

KW - analytical solution

KW - compression

KW - layered materials

KW - microbuckling

KW - microstructure

U2 - 10.1007/s10665-014-9753-y

DO - 10.1007/s10665-014-9753-y

M3 - Article

VL - 95

SP - 155

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JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

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