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A conservation law in viscoelastodynamics - Generalization of J-integral. (English) Zbl 0602.73099

Noether’s theorem on variational principles in which the functionals are invariant under a group of infinitesimal transformations is used to establish a conservation law associated with viscoelastodynamics which may be regarded as a generalization of Rice’s J-integral to viscoelastodynamics.

MSC:

74R05 Brittle damage
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
74S30 Other numerical methods in solid mechanics (MSC2010)
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