The linearized equations of propagation of elastic perturbations in a body with free strains
For a stressed isotropic Murnaghan body with free (“intrinsic”) strains we decluce the equations of propagation of small elastic perturbations in terms of the free strain tensors and the gradient of the displacement. The latter characterizes the total strain, that is, the nonlinear superposition of the free and elastic strains. We write out separately the equations for the case of a spherical free strain tensor.
KeywordsResidual Stress Elastic Strain Current Configuration Isotropic Body Elastic Potential
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