The geometrical characteristics of equally-strong boundaries of elastic bodies (Q914447)

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scientific article; zbMATH DE number 4149663
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English
The geometrical characteristics of equally-strong boundaries of elastic bodies
scientific article; zbMATH DE number 4149663

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    The geometrical characteristics of equally-strong boundaries of elastic bodies (English)
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    1988
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    The boundary of an elastic body for a given loading is said to be ``equally-strong'' if the first stress invariant is constant for each of the points of the boundary. The author discusses and develops necessary conditions for the existence of equally-strong surfaces for linearly elastic, homogeneous, and isotropic bodies. The paper is very specialized, but it could be of interest and use to theoreticians in elasticity.
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    potential theory methods
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    integral identities
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    modifications of Robin problem
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    necessary conditions
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    existence of equally-strong surfaces
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    linearly elastic, homogeneous, and isotropic bodies
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