Second gradient of strain and surface-tension in linear elasticity

Tipo de material: Texto

TextoSeries ; international Journal Solids and Structures, 1, p.417-438, 1965Trabajos contenidos:

Mindlin, R.D

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Resumen: in this paper there is formulated a linear theory of deformation of an elastic solid in which the potential energy-density is a function of the strain and its first and second gradients. This is a theory in which cohesive force and surface-tension are intrinsic. A solution is given for the strain and surface-tension, or surface-energy per unit area, resulting from separation of a solid along a plane; and a comparison is made with an analogous lattice model. Also presented are a general solution of the displacement-equation of equili- brium in terms of stress functions and the particular solution for the concentrated force. The special case of a liquid is considered and the solutions are given for the surface-tensions at plane and spherical surfaces.

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in this paper there is formulated a linear theory of deformation of an elastic solid in which the potential energy-density is a function of the strain and its first and second gradients. This is a theory in which cohesive force and surface-tension are intrinsic. A solution is given for the strain and surface-tension, or surface-energy per unit area, resulting from separation of a solid along a plane; and a comparison is made with an analogous lattice model. Also presented are a general solution of the displacement-equation of equili- brium in terms of stress functions and the particular solution for the concentrated force. The special case of a liquid is considered and the solutions are given for the surface-tensions at plane and spherical surfaces.

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