Abstract
The failure of hyperbolicity leading to the instability as an ill-posedness of the Cauchy problem is investigated for elasticity. The criteria for that instability are derived in terms of the potential energy as a function of the strain invariants. The theory is illustrated by examples.
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Zak, M. On the failure of hyperbolicity in elasticity. J Elasticity 12, 219–229 (1982). https://doi.org/10.1007/BF00042217
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DOI: https://doi.org/10.1007/BF00042217