Some examples of nonuniqueness of solutions to the equation of linear elastodynamics
The author shows, by means of some examples, that the motion of a linear elastic body is not in general uniquely determined by the boundary and initial conditions and the body forces. In the case of a one-dimensional isotropic hyperelastic body, the problem admits at least one solution, and the solution corresponding to any set of prescribed initial and boundary data and body forces is not unique in general.
one-dimensional isotropic hyperelastic body
scientific article; zbMATH DE number 4009886