Frémond, Michel; Nedjar, Boumediene Damage, gradient of damage and principle of virtual power. (English) Zbl 0910.73051 Int. J. Solids Struct. 33, No. 8, 1083-1103 (1996). Summary: A theory of continuum damage mechanics is developed within the framework of the principle of virtual power. Because the damage in a solid results from microscopic movements, we decided to include the power of these microscopic movements in the power of the internal forces. The microscopic velocities are related to the damage rate. The power of the internal forces depends on the damage velocity and its gradient to take into account the interactions. Models issued from this theory are presented. They are coherent from the mechanical and mathematical points of view. The numerical computations show no mesh sensitivity. A model using two damage quantities is also presented. It yields the correct description of the unilateral phenomenon observed in concrete. Finally, an extension of the existing models is proposed to describe the fatigue damage behaviour. Cited in 3 ReviewsCited in 134 Documents MSC: 74R99 Fracture and damage Keywords:power of internal forces; unilateral phenomenon in concrete; microscopic velocities; fatigue damage PDF BibTeX XML Cite \textit{M. Frémond} and \textit{B. Nedjar}, Int. J. Solids Struct. 33, No. 8, 1083--1103 (1996; Zbl 0910.73051) Full Text: DOI