Some inhomogeneous motions and deformations within the context of a non- linear elastic solid

DOI10.1016/0020-7225(92)90020-HzbMath0756.73021OpenAlexW2021693367MaRDI QIDQ1199166

S. Singh

Publication date: 16 January 1993

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(92)90020-h

zbMATH Keywords

slabscylindersboundary layer structurediscontinuous deformation gradientsgeneralized neo-Hookean solidsinhomogeneous twisting

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Thin bodies, structures (74K99)

Related Items (10)

Deformations of Nonlinear Elastic Solids in Unbounded Domains ⋮ On the determination of semi-inverse solutions of nonlinear Cauchy elasticity: the \textit{not so simple} case of anti-plane shear ⋮ Inhomogeneous deformations in finite thermo-elasticity ⋮ On the coupling of rectilinear shear and stretching in a slab made of incompressible elastic neo-Hookean materials: analytic formulation and finite element validation ⋮ Emergence and disappearance of load induced fiber kinking surfaces in transversely isotropic hyperelastic materials ⋮ On the inhomogeneous shearing of a new class of elastic bodies ⋮ Modeling in cardiovascular biomechanics ⋮ On inhomogeneous deformations in ES materials ⋮ Boundary layers in finite thermoelasticity ⋮ Constitutive Modelling of Rubber-Like and Biological Materials with Limiting Chain Extensibility

Cites Work

• New exact solutions in nonlinear elasticity
• Large shearing oscillations of incompressible nonlinearly elastic bodies
• A plane nonlinear shear for elastic layer with a nonconvex stored energy function
• The finite deformation of internally pressurized hollow cylinders and spheres for a class of compressible elastic materials
• The method of weighted residuals and variational principles. With application in fluid mechanics, heat and mass transfer
• Towards the solution of finite plane-strain problems for compressible elastic solids
• Non‐linear theory for the deformation of pre‐stressed circular plates and rings
• A class of exact solutions for finite plane strain deformations of a particular elastic material
• Deformations Possible in Every compressible, Isotropic, Perfectly Elastic Material
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