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- W2921095619 abstract "The problem of the eigenstresses due to distributed edge and screw dislocations in a hollow nonlinearly elastic sphere is considered. The dislocation density is given by an arbitrary spherically symmetric tensor field. For a general isotropic elastic material, the problem is reduced to a one-dimensional nonlinear boundary value problem. By replacing the unknown functions, the boundary value problem with nonlinear boundary conditions is transformed to a problem with linear ones. Numerical solutions are constructed for specific models of compressible and incompressible materials. The analysis of the influence of dislocations on a stress state of an elastic sphere at large deformations is carried out." @default.
- W2921095619 created "2019-03-22" @default.
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- W2921095619 date "2019-01-01" @default.
- W2921095619 modified "2023-09-26" @default.
- W2921095619 title "Eigenstresses in a Nonlinearly Elastic Sphere with Distributed Dislocations" @default.
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- W2921095619 doi "https://doi.org/10.1007/978-3-030-13307-8_11" @default.
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