On an implicit model linear in both stress and strain to describe the response of porous solids

DOI10.1007/s10659-021-09831-xzbMath1465.74048OpenAlexW3156685525MaRDI QIDQ2028526

Kumbakonam R. Rajagopal, Hiromichi Itou, Victor A. Kovtunenko

Publication date: 1 June 2021

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-021-09831-x

zbMATH Keywords

regularizationwell-posednessnonlinear elasticitymixed variational formulationthresholdingquasi-linear elliptic problemporous metallinear-fractional singularityvolumetric-deviatoric decomposition

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (6)

On an elastic strain-limiting special Cosserat rod model ⋮ Constitutive relations for anisotropic porous solids undergoing small strains whose material moduli depend on the density and the pressure ⋮ A generalization of the Kelvin–Voigt model with pressure‐dependent moduli in which both stress and strain appear linearly ⋮ Well-posedness of the governing equations for a quasi-linear viscoelastic model with pressure-dependent moduli in which both stress and strain appear linearly ⋮ Stress concentration due to the bi‐axial deformation of a plate of a porous elastic body with a hole ⋮ On the response of anisotropic elastic bodies described by implicit constitutive relations

Cites Work

• Unnamed Item
• On elastic solids with limiting small strain: modelling and analysis
• Existence of solutions for the anti-plane stress for a new class of ``strain-limiting elastic bodies
• On implicit constitutive theories.
• Global analysis of the flows of fluids with pressure-dependent viscosities
• A mixed three-field FE formulation for stress accurate analysis including the incompressible limit
• Mixed displacement-rotation-pressure formulations for linear elasticity
• The Boussinesq flat-punch indentation problem within the context of linearized viscoelasticity
• The elasticity of elasticity
• Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress
• On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body
• Crack problem within the context of implicitly constituted quasi-linear viscoelasticity
• Lagrange multiplier approach to unilateral indentation problems: Well-posedness and application to linearized viscoelasticity with non-invertible constitutive response
• Nonlinear elliptic boundary value problems
• Nonlinear elasticity with limiting small strain for cracks subject to non-penetration
• On steady flows of fluids with pressure– and shear–dependent viscosities
• ON A „MONOTONICITY” METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES

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