Bounds on the volume fraction of the two-phase shallow shell using one measurement

DOI10.1007/s10659-012-9425-yzbMath1455.74061arXiv1204.4962OpenAlexW2011434125MaRDI QIDQ2434103

Hyeonbae Kang, Jenn-Nan Wang, Graeme Walter Milton

Publication date: 17 February 2014

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4962

zbMATH Keywords

volume fractiontranslation methodtwo-phase shallow shell

Mathematics Subject Classification ID

Shells (74K25) Inverse problems in equilibrium solid mechanics (74G75) Random materials and composite materials (74A40)

Related Items (3)

On the extreme rays of the cone of \(3\times 3\) quasiconvex quadratic forms: extremal determinants versus extremal and polyconvex forms ⋮ A note on the extreme points of the cone of quasiconvex quadratic forms with orthotropic symmetry ⋮ Explicit examples of extremal quasiconvex quadratic forms that are not polyconvex

Cites Work

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• Universal bounds on the electrical and elastic response of two-phase bodies and their application to bounding the volume fraction from boundary measurements
• Sharp bounds on the volume fractions of two materials in a two-dimensional body from electrical boundary measurements: the translation method
• Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
• Justification of the two-dimensional equations of a linearly elastic shallow shell
• The Theory of Composites
• A relationship between two Dirichlet to Neumann maps in anisotrpoic elastic plate theory
• Quantitative uniqueness estimates for the shallow shell system and their application to an inverse problem

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