In this paper we write the propagation condition of acceleration waves in internally constrained hyperelastic materials as an eigenvalue problem for a symmetric tensor. It follows that both the reality of the eigenvalues and the orthogonality of the corresponding eigenvectors are a priori guaranteed, so that the proofs used by other authors are avoided. Moreover, we find a necessary and sufficient condition for the positiveness of all eigenvalues.
On the propagation condition of waves in constrained elastic materials
TONON, Maria Luisa
2005-01-01
Abstract
In this paper we write the propagation condition of acceleration waves in internally constrained hyperelastic materials as an eigenvalue problem for a symmetric tensor. It follows that both the reality of the eigenvalues and the orthogonality of the corresponding eigenvectors are a priori guaranteed, so that the proofs used by other authors are avoided. Moreover, we find a necessary and sufficient condition for the positiveness of all eigenvalues.
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