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The incremental shear modulus in a compressible isotropic elastic material

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Publication:794469
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DOI10.1007/BF00945171zbMath0541.73024MaRDI QIDQ794469

Kenneth N. Sawyers, Ronald S. Rivlin

Publication date: 1984

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


zbMATH Keywords

compressible isotropic elastic bodiesfinite pure homogeneous deformationinfinitesimal simple shearnecessary and sufficient conditions on the strain energypositive incremental shear modulus


Mathematics Subject Classification ID

Nonlinear elasticity (74B20)





Cites Work

  • The incremental shear modulus in an incompressible elastic material
  • Ordinary and strong ellipticity in the equilibrium theory of incompressible hyperelastic solids
  • Some stability conditions for a compressible 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
  • A note on the Hadamard criterion for an incompressible isotropic elastic material
  • Instability of an elastic material




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