Linearised theory



Keywords: linearised theory
Description: The linearised constitutive equations for an isotropic mixture of two elastic solids, given in rectangular Cartesian coordinates by Steel [1], are transformed into complex coordinates and then the

The linearised constitutive equations for an isotropic mixture of two elastic solids, given in rectangular Cartesian coordinates by Steel [1], are transformed into complex coordinates and then the equations of equilibrium when the mixture is subject to plane strain are solved in terms of complex potential functions. Finally a problem is solved to illustrate the theory.

Les équations de constitution, linéaires, d'un mélange isotrope de deux solides élastiques, établies par Steel [1] dans un système de coordonnées rectangulaires, sont transformées en coordonnées complexes, après quoi, lorsque le mélange est soumis à une contrainte plane, les équations d'équilibre sont résolues sous forme de fonctions potentielles complexes. On donne finalement la solution d'un problème, à titre d'exemple de la théorie.






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