Models of thin interphases with variable moduli in plane-strain elasticity

DOI10.1177/1081286512462186OpenAlexW1967510246MaRDI QIDQ5137373

Yakov Benveniste

Publication date: 2 December 2020

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

Full work available at URL: https://doi.org/10.1177/1081286512462186

zbMATH Keywords

thin interphasesreciprocal theoremplane-strain elasticity

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Related Items (8)

Models of thin interphases and the effective medium approximation in composite media with curvilinearly anisotropic coated inclusions ⋮ Elastic fields caused by eigenstrains in two joined half-spaces with an interface of coupled imperfections: dislocation-like and force-like conditions ⋮ On modeling of elastic interface layers in particle composites ⋮ Effects of the progressive damage interphase on the effective bulk behavior of spherical particulate composites ⋮ Bounds on size effects in composites via homogenization accounting for general interfaces ⋮ Micro-to-macro transition accounting for general imperfect interfaces ⋮ Variational formulation of generalized interfaces for finite deformation elasticity ⋮ Two circular inclusions with arbitrarily varied surface effects

Cites Work

• Interfacial discontinuity relations for coupled multifield phenomena and their application to the modeling of thin interphases as imperfect interfaces
• Two models of three-dimensional thin interphases with variable conductivity and their fulfillment of the reciprocal theorem
• Combined asymptotic finite-element modeling of thin layers for scalar elliptic problems
• On two models of arbitrarily curved three-dimensional thin interphases in elasticity
• A general interface model for a three-dimensional curved thin anisotropic interphase between two anisotropic media
• Effective boundary conditions for the scattering of two-dimensional SH waves from a curved thin elastic layer
• ON THE MODELLING OF THIN INTERFACE LAYERS IN ELASTIC AND ACOUSTIC SCATTERING PROBLEMS
• An interface model of a graded three-dimensional anisotropic curved interphase

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