Some stability conditions for a compressible elastic material. (English) Zbl 0519.73035
MSC:
74H55 | Stability of dynamical problems in solid mechanics |
74B20 | Nonlinear elasticity |
74S30 | Other numerical methods in solid mechanics (MSC2010) |
Keywords:
two sets of restrictions on strain-energy function; compressible isotropic elastic material; necessary conditions for stability; rectangular block; finite pure homogeneous deformation; infinitesimal pure homogeneous deformation; arbitrary principal directions; incremental modulus; initial deformation; one pair of faces of block is force-free; superposed infinitesimal deformation; one of principal directions normal to these faces; principal extension ratio is unityReferences:
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[5] | K. N. Sawyers and R. S. Rivlin, Developments in mechanics (Proc. 13th Midwestern Mechanics Conference)7, 321 (1973). |
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