Transformations and Equation Reductions in Finite Elasticity II: Plane Stress and Axially Symmetric Deformations

DOI10.1177/108128659600100202zbMath1001.74519OpenAlexW2097420186MaRDI QIDQ4528108

James M. Hill, Daniel J. Arrigo

Publication date: 17 December 2002

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

Full work available at URL: https://doi.org/10.1177/108128659600100202

Mathematics Subject Classification ID

Nonlinear elasticity (74B20)

Related Items (11)

Deformations of Neo-Hookean Elastic Wedge Revisited ⋮ Transformations and Equation Reductions in Finite Elasticity IV: Illustration of the General Integral for a Plane Strain Similarity Deformation ⋮ Transformations and Equation Reductions in Finite Elasticity III: A General Integral for Plane Strain Deformations ⋮ A Note on Ericksen's Problem for Radially Symmetric Deformations ⋮ Some qualitative effects in the exact solutions of the Lamé problem for large deformations ⋮ On the general structure of small on large problems for elastic deformations of Varga materials. I: Plane strain deformations ⋮ On the general structure of small on large problems for elastic deformations of Varga materials. II: Axially symmetric deformations ⋮ A Lie Group Analysis of the Axisymmetric Equations of Finite Elastostatics for Compressible Materials ⋮ The effects of compressibility on inhomogeneous deformations for a class of almost incompressible isotropic nonlinearly elastic materials ⋮ Study on cavitated bifurcation problems for spheres composed of hyperelastic materials ⋮ On a Class of Linearizable Monge-Ampère Equations

Cites Work

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• Radial deflections of thin precompressed cylindrical rubber bush moutings
• Inverse deformation results in finite elasticity
• Transformations and Equation Reductions in Finite Elasticity I: Plane Strain Deformations
• New families of exact solutions for finitely deformed incompressible elastic materials
• On axially symmetric deformations of perfectly elastic compressible materials

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