The stress field in a pulled cork and some subtle points in the semi-inverse method of nonlinear elasticity

DOI10.1098/RSPA.2007.0010zbMath1130.74008arXiv0712.0236OpenAlexW3104615639MaRDI QIDQ5443630

Giuseppe Saccomandi, Riccardo De Pascalis, Michel Destrade

Publication date: 21 February 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.0236

zbMATH Keywords

Mooney-Rivlin materialneo-Hookean materialsecondary fieldslatent deformation

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Inverse problems in equilibrium solid mechanics (74G75)

Related Items (3)

Saint-Venant-Picard-Banach method for integrating thin-walled system equations of the theory of elasticity ⋮ An accurate and parameter-free analysis for the converse Poynting effect in large constrained torsion of highly elastic soft tubes ⋮ An exact solution to the problem of biaxial loading of a micropolar elastic plate made by joining two prestrained arc-shaped layers under large strains

Cites Work

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• Superposition of generalized plane strain on anti-plane shear deformations in isotropic incompressible hyperelastic materials
• Some results for generalized neo-Hookean elastic materials
• Transverse deformations associated with rectilinear shear in elastic solids
• Secondary deformations due to axial shear of the annular region between two eccentrically placed cylinders
• Nonlinear Elasticity
• Pure torsion of compressible non-linearly elastic circular cylinders
• On finite anti-plane shear for imcompressible elastic materials
• Rectilinear steady flow of simple fluids
• Large elastic deformations of isotropic materials IV. further developments of the general theory

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