Effective elastic moduli of a soft medium with hard polygonal inclusions and extremal behavior of effective Poisson's ratio

DOI10.1007/BF00042083zbMath0845.73048OpenAlexW2062553080MaRDI QIDQ1904623

Keith Promislow, Leonid Berlyand

Publication date: 15 September 1996

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

Full work available at URL: https://doi.org/10.1007/bf00042083

zbMATH Keywords

asymptotic expansionhexagonal symmetryorthotropic symmetryfinite dimensional algebraic minimization problemMiltons isotropic compositetwo-dimensional two-phase elastic composites

Mathematics Subject Classification ID

Composite and mixture properties (74E30)

Cites Work

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• Variational principles of continuum mechanics. II: Applications
• Variational bounds on the effective moduli of anisotropic composites
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Asymptotics of the homogenized moduli for the elastic chess-board composite
• Composite materials with Poisson's ratios close to -1
• Subalgebras of a finite algebra
• Effective conductivity of periodic composites composed of two very unequal conductors
• Invariant properties of the stress in plane elasticity and equivalence classes of composites
• A Theorem on the Conductivity of a Composite Medium

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