FINITE DEFORMATIONS OF INCOMPRESSIBLE SIMPLE SOLIDS
CALIFORNIA UNIV BERKELEY DIV OF APPLIED MECHANICS
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Exact solutions of several problems which involve finite deformations of homogeneous isotropic incompressible simple solids are obtained by the inverse method. The deformations involved include bending, stretching, shearing, torsion and both cylindrical and spherical inflation. The corresponding stresses are expressed in terms of the functionals which describe the material response to homogeneous plane deformations. The results obtained apply, in particular, to incompressible viscoelastic solids.