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By Wohua Zhang

Continuum harm Mechanics and Numerical functions offers a scientific improvement of the idea of Continuum harm Mechanics and its numerical engineering purposes utilizing a unified type of the mathematical formulations in anisotropic and isotropic harm types. The theoretical framework relies at the thermodynamic concept of strength and fabric dissipation and is defined through a suite of primary formulations of constitutive equations of broken fabrics, improvement equations of the broken country, and evolution equations of micro-structures. in keeping with thoughts of damage-dissipation of the fabric country and powerful evolution of fabric homes, a lot of these complex equations, which take nonsymmetrized results of wear and tear elements under consideration, are built and converted from the conventional basic failure versions in order that they are extra simply utilized and validated in quite a lot of engineering practices by means of experimental trying out. Dr. Wohua Zhang is a Professor at Engineering Mechanics examine heart in Zhejiang collage of China. Dr. Yuanqiang Cai is a Professor at division of Civil Engineering in Zhejiang collage of China.

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D. , Propagation of Damage in Elastic and Plastic Solids. In : Proceedings of the ICF-6. 533-551 (1982) . , Damage waves in elastic-brittle materials. In: Proceedings of the IUTAM Symposium on Rheology of Bodies with Defects. 1 79-190 (1999) . [1-31] Vala ppan S. , Anisotropic damage problems of rock mass. In: Proceedings of the NUMETA 90 , Swansea, Wales (1990). , Finite element analysis of anisotropic damage mechanics problems. J . Eng. Fract. , 35(6) , 1061-1076 (1990) . , Valappan S. , Elastic constitutive relation for an anisotropic damage model.

460-470 (2004). H. , Theory ofvisco-elasto-plastic damage mechanics represented by the principle of the minimum dissipative energy. J. North Chin . Water Conserv . Water Electr. , 26(4) ,124-126, in Chinese (2005). , Non-linear dynamic damage finite element model for rocklike materials . Gener. J . Sci. , 21(5), 615-623 , in Chinese (2005). , Study on multi-phase fluid dynamics modeling of unsaturated oil-gas-water seepage in fracture-damaged porous medium . 23-24, 168-177, in Chinese (2005) . , Safety analysis for visco-elasto-plastic damage of Longtan concrete gravity dam.

Constitutive modeling is then limited to the level of individual constituents only, independent of their geometrical stacking. 4 Survey of Kinetic Equations for Damaged Materials It should be pointed out that the development of kinetic equations for internal state variables would be important in continuum damage mechanics, especially for damage growth. 1 Kinetic Behaviors due to Micro-Structural Changes As mentioned in the previous sections, the micro-structural state in a material can be expressed by the internal state variables based on the aspect of thermodynamics.

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