Optimal lower bounds on the hydrostatic stress amplification inside random two-phase elastic composites

DOI10.1016/j.jmps.2005.06.007zbMath1176.74152OpenAlexW2100727127MaRDI QIDQ1019349

Robert P. Lipton

Publication date: 2 June 2009

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2005.06.007

zbMATH Keywords

composite materialsstress concentrationsfailure criteria

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30)

Related Items

Lower bounds on the stress and strain fields inside random two-phase elastic media, Criteria for guaranteed breakdown in two-phase inhomogeneous bodies, Lower strain and stress bounds for elastic random composites consisting of two isotropic phases and exhibiting cubic symmetry, Field statistics in nonlinear composites. I. Theory, Solutions to the Eshelby conjectures, Optimal lower bounds on the local stress inside random thermoelastic composites, Engineering anisotropy to amplify a long-wavelength field without a limit

Cites Work

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• The Elastic Moduli of Heterogeneous Materials
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Two-Dimensional Grained Composites of Extreme Rigidity