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- W2021123197 abstract "Abstract The kernel of the elastic strain potential energy functional depends on the finite strain tensor invariants, while the functional itself is represented as a finite sum of homogeneous functionals of the displacement and is defined in the Sobolev space (W p 1 (Ω)) 3 (p > 2) /1,2/. A number of inequalities is set up which the strain potential energy functional and its Frechet derivatives satisfy, and an existence and uniqueness theorem is proved for generalized solutions of dynamic problems of the nonlinear theory of elasticity in the phase space (L 2 (Ω)) 3 × (W p 1 (Ω)) 3 (2 Existence and uniqueness theorems were considered earlier for the solutions of dynamic problems of linear small-strain elasticity theory /3/ and of a class of nonlinear problems /4/." @default.
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- W2021123197 date "1980-01-01" @default.
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- W2021123197 title "Existence and uniqueness theorem for solutions of dynamic problems of the nonlinear theory of elasticity" @default.
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- W2021123197 doi "https://doi.org/10.1016/0021-8928(80)90041-6" @default.
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