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The surface settlement of a linearly inhomogeneous cross-anisotropic elastic half-space

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It is known that an isotropic, incompressible, elastic half-space with a rigidity modulus which increases linearly with depth from zero at the surface, responds to vertical surface loading exactly like a uniform array of springs (Winkler's medium). The validity of this result is examined here for a cross-anisotropic medium.


On sait qu'un semi-espace de terrain isotrope, élastique et incompressible—dont le module de cisaillement accroît linéairement avec la profondeur, partant de zéro à la surface—réagit à la charge superficielle exactement selon les hypothèses faites par Winkler dans sa théorie de la réaction du niveau de fondation. On examine ici jusqu' à quel point la validité de ce résultat s'applique à un milieu anisotrope, élastique et incompressible.

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Gibson, R.E., Kalsi, G.S. The surface settlement of a linearly inhomogeneous cross-anisotropic elastic half-space. Journal of Applied Mathematics and Physics (ZAMP) 25, 843–847 (1974).

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