1,721,008 research outputs found
Equilibrium positions of a solid in large deformations
Full text linkEquilibrium positions of a solid in large deformations. We investigate equilibrium positions of a solid in large deformations. We take the party that a solid can flatten in a solid with a lower dimension. A structure flattened by a power hammer is an example of such a situation. Moreover, we take into account the spacial variations of rotation matrix. We prove that under reasonable assumptions, there exist equilibrium positions which may be non-unique. To cite this article: M. Fremond, C R. Acad Sci. Paris, Ser. I347 (2009). (C) 2009 Academie des sciences. Publie par Elsevier Masson SAS. Tous droits reserves
Collision of three balls on a plane
No full textWe consider three rigid balls moving on a plane and investigate their multiple collisions (i.e., the three balls collide at the same time). This is a 3D problem because balls may jump. We develop a predictive theory based on the idea that the system made of three balls and a plane is deformable. As shown by the examples, the theory accounts for the physical properties of multiple collisions and its main feature is the presence of non local interactions
Global existence and uniqueness for a thermomechanical model for shape memory alloys with partition of the strain
No full textThermal effects of collisions: does rain turn into ice when it falls on a frozen ground?
Full text linkhe phase changes produced by the thermal effects of collisions are
investigated. The behaviour of warm rain falling on a deeply frozen ground
is predicted. The ice-water phase change involves microscopic motions that
are taken into account in the predictive theory
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