On the failure of hyperbolicity in elasticity |
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| Authors: | Michail Zak |
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| Affiliation: | (1) Jet Propulsion Laboratory, California Institute of Technology, 91103 Pasadena, California, USA |
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| 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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