On the effective elasticity of a two-dimensional homogenised incompressible elastic composite
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Publication:4733496
DOI10.1017/S0308210500024847zbMath0683.73010MaRDI QIDQ4733496
Publication date: 1988
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
eigenvalueshomogenizationoptimalityeffective elasticity tensoreigenvalue boundsisotropic incompressible elastic materialsN-dimensional homogenized mixturetwo-dimensional homogenized incompressible elasticity
Inhomogeneity in solid mechanics (74E05) Qualitative properties of solutions to partial differential equations (35B99)
Related Items (9)
Homogenisation of a class of fourth order equations with application to incompressible elasticity ⋮ Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials ⋮ On the optimality of the variational linear comparison bounds for porous viscoplastic materials ⋮ Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry ⋮ Asymptotic of the velocity of a dilute suspension of droplets with interfacial tension ⋮ On the possible effective elasticity tensors of 2-dimensional and 3-dimensional printed materials ⋮ Inequalities for electric and elastic polarization tensors with applications to random composites ⋮ Coupled estimates for the bulk and shear moduli of a two-dimensional isotropic elastic composite ⋮ On characterizing the set of possible effective tensors of composites: The variational method and the translation method
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- Exact estimates of conductivity of composites formed by two isotropically conducting media taken in prescribed proportion
- Optimal Bounds and Microgeometries for Elastic Two-Phase Composites
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