Some stability conditions for a compressible elastic material

DOI10.1007/BF00946642zbMath0519.73035MaRDI QIDQ1054510

Kenneth N. Sawyers, Ronald S. Rivlin

Publication date: 1981

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

zbMATH Keywords

finite pure homogeneous deformationarbitrary principal directionscompressible isotropic elastic materialincremental modulusinfinitesimal pure homogeneous deformationinitial deformationnecessary conditions for stabilityone of principal directions normal to these facesone pair of faces of block is force-freeprincipal extension ratio is unityrectangular blocksuperposed infinitesimal deformationtwo sets of restrictions on strain-energy function

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Stability of dynamical problems in solid mechanics (74H55)

Related Items (1)

The incremental shear modulus in a compressible isotropic elastic material

Cites Work

• The incremental shear modulus in an incompressible elastic material
• On the speed of propagation of waves in a deformed elastic material
• On the speed of propagation of waves in a deformed compressible elastic material
• Instability of an elastic material

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