Material Stability and Bifurcation in Finite Elasticity.
LEHIGH UNIV BETHLEHEM PA CENTER FOR THE APPLICATION OF MATHEMATICS
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The theory of small superposed deformation for isotropic incompressible elastic materials is used to obtain necessary restriction on the form of the strain-energy function by requiring that the speed of propagation be real for waves that pass through a finitely deformed body of material i.e., Hadamard stability criterion, and to determine critical loading conditions for a thick rectangular plate under which bifurcation solutions i.e., adjacent equilibrium positions can exist. The possibility of bifurcation under tensile loading, when one pair of faces of a plate are force free, is precluded by further material stability considerations. Author
- Numerical Mathematics