Perturbations about a finite elastic inflation

DOI10.1016/0020-7225(86)90050-9zbMath0581.73046OpenAlexW2036123036MaRDI QIDQ1067835

Elena M. Croitoro

Publication date: 1986

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

Full work available at URL: http://summit.sfu.ca/item/6437

zbMATH Keywords

boundary value problemsdeformationslabstress fieldcircular holeequilibrium equations for the perturbed stateexact general analytic solutiongeneral strain-energy functionperturbational uniaxial tensionsmall displacement field superimposed on finite inflationsmall shearsolved exactly for Mooney-Rivlin materials

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Stress concentrations, singularities in solid mechanics (74G70) Perturbations in context of PDEs (35B20)

Related Items (1)

Hoop stress calculation for a nearly circular hole in a finitely deformed plate under plane strain and uniaxial tension

Cites Work

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• Finite deformations of elastic materials surrounding cylindrical holes
• Closed form solutions for small deformations superimposed upon the simultaneous inflation and extension of a cylindrical tube
• Second and higher order effects in a class of problems in plane finite elasticity
• Plane strain problems for a perfectly elastic material of harmonic type
• General theory of small elastic deformations superposed on finite elastic deformations

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