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

DOI10.1007/BF00945449zbMath0564.73046MaRDI QIDQ1058345

Elena M. Croitoro, Kenneth A. Lindsay

Publication date: 1984

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

plane strain deformationalmost circular holeelliptic hole of small eccentricityexpanded by a radial pressure at this holelinear perturbation equationsplate of incompressible Mooney-Rivlin materialsmall deformations superposed on an exact finite solutionspecific exampleuniaxial tension at infinity

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Plates (74K20) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Uses Software

• COLSYS

Cites Work

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• Collocation Software for Boundary-Value ODEs
• Nearly isochoric elastic deformations: volume changes in plane strain
• SOLUTION OF SOME FINITE PLANE-STRAIN PROBLEMS FOR COMPRESSIBLE ELASTIC SOLIDS
• General theory of small elastic deformations superposed on finite elastic deformations

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