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Mécanique de l'endommagement. Théorie du premier gradient et application au béton

Abstract : Damage in a solid results from microscopic movements. We decide to include the power of these movements in the principle of virtual powers. Because the microscopic velocities are related to the damage rate, the power of the internal forces we choose depends on the damage velocity and also on its gradient to take into account the interactions. This approach allows to represent the nonlinear behaviour of concrete, which is due to the damage, by strain softening models. The applications for structural computations give objective results and overcome the mesh sensitivity. Taking into account the gradient of damage in the formulation leads also to a good description of the structural size effect. The unilateral phenomenon, linked to the crack closure, which leads to the restoration of stiffness of the material when going from tension to compression, is described through two damage variables and a partition of the strain tensor into two parts in the expression of the free energy. The models we present are implemented in a finite element code and the results allow a predictive structural analysis.
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Boumediene Nedjar. Mécanique de l'endommagement. Théorie du premier gradient et application au béton. Mécanique [physics.med-ph]. Ecole Nationale des Ponts et Chaussées, 1995. Français. ⟨tel-00529378⟩

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