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Well-posedness of the problem of non-penetrating cracks in elastic bodies whose material moduli depend on the mean normal stress

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Abstract The well-posedness of the problem of non-penetrating crack in an elastic body whose material moduli depends on the mean normal stress is studied. The type of models considered are… Click to show full abstract

Abstract The well-posedness of the problem of non-penetrating crack in an elastic body whose material moduli depends on the mean normal stress is studied. The type of models considered are based on a new implicit theory for the response of elastic bodies. Bodies defined by these implicit theories are more general than Cauchy elastic bodies. The problem is studied within the context of a variational inequality.

Keywords: elastic bodies; non penetrating; posedness problem; problem non; problem; well posedness

Journal Title: International Journal of Engineering Science
Year Published: 2019

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