Compressible liquid/gas inclusion with high initial pressure in plane deformation: modified boundary conditions and related analytical solutions

DOI10.1016/J.EUROMECHSOL.2020.104000zbMath1475.74019OpenAlexW3015070640MaRDI QIDQ2190112

Jian Hua, Peter Schiavone, Ming Dai

Publication date: 18 June 2020

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2020.104000

zbMATH Keywords

complex variable methodanalytic solutionstress concentrationMori-Tanaka methodliquid inclusiongas inclusion

Mathematics Subject Classification ID

Bounds on effective properties in solid mechanics (74Q20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Inhomogeneity in solid mechanics (74E05) Complex-variable methods applied to problems in solid mechanics (74S70)

Related Items (5)

Green's functions for an anisotropic elastic matrix containing an elliptical incompressible liquid inclusion ⋮ Modified formulation and solution for an inclusion with Steigmann-Ogden model in plane deformation ⋮ An incompressible liquid slit between dissimilar anisotropic elastic media ⋮ Modified closed-form solutions for three-dimensional elastic deformations of a composite structure containing macro-scale spherical gas/liquid inclusions ⋮ A modified Laurent series for hole/inclusion problems in plane elasticity

Cites Work

• Unnamed Item
• Size- and shape-dependent effective conductivity of porous media with spheroidal gas-filled inclusions
• Liquid inclusions in soft materials: capillary effect, mechanical stiffening and enhanced electromechanical response
• Elastic properties of reinforced solids: Some theoretical principles
• Effective thermal conductivity of inhomogeneous medium containing gas‐filled inclusions
• Surface tension and the Mori–Tanaka theory of non-dilute soft composite solids

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