| Abstract: | The author starts by defining, thanks to the virtual work principle, the notion of “succion force” which represents in an continuous mediums the influence of the medium itself on each of its molecules. Mathematically this quantity appears as dual to the displacement of the molecule with regard to the medium; in Lagrange variables, it is analogue to a mass force expressing the influence of the extorior. This force is shown to act only on the points where the medium is elastically inhomogeneous (inclusion, crack, plastified zone…). The study is made for any particular position, eventually a very deformed one. The vectorial sum of these forces in a given volume is calculated with the help of an integral stretched to the surface which limits this volume. This integral generalises the Rice integral which had only been written in the case of the approximation of small deformations. |
