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

Igor Guz; Marina Menshykova; Oleksandr Menshykov

doi:10.1007/s10665-014-9753-y

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

Igor Guz, Marina Menshykova, Oleksandr Menshykov

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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 language	English
Pages (from-to)	155-171
Number of pages	17
Journal	Journal of Engineering Mathematics
Volume	95
Early online date	25 Dec 2014
DOIs	https://doi.org/10.1007/s10665-014-9753-y
Publication status	Published - Dec 2015

Bibliographical 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.

Keywords

analytical solution
compression
layered materials
microbuckling
microstructure

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Accepted Manuscript
The final publication is available at Springer via http://dx.doi.org/10.1007/s10665-014-9753-y
Accepted author manuscript, 1.92 MBLicence: Unspecified

Oleksandr Menshykov
- Engineering, Engineering - Reader
- Engineering, Centre for Micro- and Nanomechanics (CEMINACS)
Person: Academic
Marina Menshykova
Person: Academic Related - Scholarship, Academic Related - Research

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.",

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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.",

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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

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M3 - Article

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SP - 155

EP - 171

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

ER -

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

Abstract

Bibliographical note

Keywords

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Oleksandr Menshykov

Marina Menshykova

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