Two-parameter integral representation formula for the effective elastic moduli of two-phase composites

DOI10.1080/17476933.2011.611942zbMath1235.74018OpenAlexW2100742714MaRDI QIDQ3119107

M. Yvonne Ou

Publication date: 7 March 2012

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.611942

zbMATH Keywords

elasticityanalytic continuationtwo-parameter integral representation formula

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Composite and mixture properties (74E30) Random materials and composite materials (74A40) PDEs in connection with mechanics of deformable solids (35Q74) Homogenization in optics and electromagnetic theory (78M40)

Related Items (2)

Internal resonances and relaxation memory kernels in composites ⋮ On applications of Herglotz-Nevanlinna functions in material sciences. II: Extended applications and generalized theory

Cites Work

• Improved rigorous bounds on the effective elastic moduli of a composite material
• On the stiffness of materials containing a disordered array of microscopic holes or hard inclusions
• Inverse homogenization for evaluation of effective properties of a mixture
• On the representation formula for well‐ordered elastic composites: a convergence of measure approach
• On the integral representation formula for a two-component elastic composite
• Holomorphic Functions With Positive Real Part on Polycylinders

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