Bounds for the non-local effective properties of random media

DOI10.1016/0022-5096(81)90025-9zbMath0464.73005OpenAlexW4240829208MaRDI QIDQ1154306

Ch. Raabe, J. Weissbarth, G. Diener

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0022-5096(81)90025-9

zbMATH Keywords

binary mixturesbounds of Hashin-Shtrikman typecomposites with cell structureinhomogeneous mean valuesstatic scalar fieldtwo- point moment of stochastic material parameterupper and lower bounds for effective material parameters

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Wave scattering in solid mechanics (74J20) Random materials and composite materials (74A40) Variational principles of physics (49S05)

Related Items

Bounds for the non-local effective properties of random media. II, Bounds on non-local effective relations for random composites loaded by configuration-dependent body force, Electromagnetic wave propagation and radiative transfer in strongly heterogeneous random media, Bounds on the non-local effective elastic properties of composites, A micromechanics-based nonlocal constitutive equation incorporating three-point statistics for random linear elastic composite materials

Cites Work

• A variational approach to the theory of the elastic behaviour of multiphase materials
• Effective linear response in strongly heterogeneous media self-consistent approach
• Elastic moduli of perfectly disordered composite materials
• Mean field variations in a statistical sample of heterogeneous linearly elastic solids
• Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media
• Mean field variation in random media
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