Linear models for thin plates of polymer gels

DOI10.1177%2F1081286517698740zbMath1395.74055arXiv1702.03795MaRDI QIDQ5374478

Roberto Paroni, Giuseppe Tomassetti

Publication date: 14 September 2018

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

Full work available at URL: https://arxiv.org/abs/1702.03795

zbMATH Keywords

dimension reductionporoelasticitypolymer gels

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Plates (74K20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A theory for species migration in a finitely strained solid with application to polymer network swelling
• A coupled theory of fluid permeation and large deformations for elastomeric materials
• The Reissner-Mindlin plate theory via \(\Gamma\)-convergence
• Diffusion of a fluid through an elastic solid undergoing large deformation
• On the intersection of regex languages with regular languages
• A theory of coupled diffusion and large deformation in polymeric gels
• Incompressible porous media models by use of the theory of mixtures
• Applications of the theory of interacting continua to the diffusion of a fluid through a nonlinear elastic media
• On variational dimension reduction in structure mechanics
• A rigorous derivation of the equations for the clamped Biot-Kirchhoff-Love poroelastic plate
• The equations of motion of a plate with residual stress
• Growth and instability in elastic tissues
• Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditions
• A justification of the Timoshenko beam model through Γ-convergence
• A JUSTIFICATION OF THE REISSNER–MINDLIN PLATE THEORY THROUGH VARIATIONAL CONVERGENCE
• A Theory for Transverse Deflection of Poroelastic Plates
• Theory of Linearly Elastic Residually Stressed Plates
• Buckling of residually stressed plates: An asymptotic approach