Boundary conditions

Authier, A.; Zarembowitch, A.

doi:10.1107/97809553602060000630

International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

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International Tables for Crystallography (2006). Vol. D. ch. 1.3, pp. 78-79

Section 1.3.2.6. Boundary conditions

A. Authier^a ^* and A. Zarembowitch^b

^a Institut de Minéralogie et de la Physique des Milieux Condensés, Bâtiment 7, 140 rue de Lourmel, 75015 Paris, France, and ^bLaboratoire de Physique des Milieux Condensés, Université P. et M. Curie, 75252 Paris CEDEX 05, France
Correspondence e-mail: aauthier@wanadoo.fr

1.3.2.6. Boundary conditions

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If the surface of the solid C is free from all exterior action and is in equilibrium, the stress field $[T_{ij}]$ inside C is zero at the surface. If C is subjected from the outside to a distribution of stresses $[T_{n}]$ (apart from the volume forces mentioned earlier), the stress field inside the solid is such that at each point of the surface $[T_{nj} = T_{ij}\alpha_{i}, ]$ where the $[\alpha_{j}]$ 's are the direction cosines of the normal to the surface at the point under consideration.

References

International Tables for Crystallography (2006). Vol. D. ch. 1.3, pp. 78-79