Continuum Damage Mechanics and Numerical Applications by Wohua Zhang

By Wohua Zhang

"Continuum harm Mechanics and Numerical functions" offers a scientific improvement of the speculation of Continuum harm Mechanics and its numerical engineering functions utilizing a unified type of the mathematical formulations in anisotropic and isotropic harm types. The theoretical framework is predicated at the thermodynamic conception of power and fabric dissipation and is defined through a collection of primary formulations of constitutive equations of broken fabrics, improvement equations of the broken country, and evolution equations of micro-structures. based on innovations of damage-dissipation of the cloth country and potent evolution of fabric homes, these types of complicated equations, which take nonsymmetrized results of wear and tear facets into consideration, are built and converted from the conventional common failure types so that they are extra simply utilized and confirmed in a variety of engineering practices via experimental trying out. Dr. Wohua Zhang is a Professor at Engineering Mechanics examine middle 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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Extra info for Continuum Damage Mechanics and Numerical Applications (Advanced Topics in Science and Technology in China)

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Science Press, Beijing/New York, 5 , 391-396 (2005) . H. , Influences of damage on soil ground near hammer foundation due to blows. , Takemiya H. ) Environmental Vibration. 74-87 (2003) . H. H. , Impact fatigue damage analysis for hammer foundation . J . Vibr. , 18(4) ,506-511 , in Chinese (2005). , Random damage mechanics analysis for stability of rock slope. Chin . J . , 36(4) , 413-419, in Chinese (2005). , Finite element analysis for fuzzy random da mage mechanics in geo-engineering structures.

In 1978, Lemaitre and Chaboche [2-22], based on the principle of irreversible thermodynamics, developed the concepts of material damage and established a new branch of mechanics by means of the theory of continuum mechanics. This new branch was called Continuum Damage Mechanics [2-9, 2-14,2-30,2-33, 2-35 rv 36, 2-43, 2-51, 2-68rv69 , 2-73, 2-120rv124]. So far , the studies carried out in the area of material damage problems can be roughly classified based on the modification from [2-35, 2-41 , 2-68, 2-71 ] as follows: • • • • Microscopic Method (Metallurgy).

Consequently, a scalar form of the damage variable was sufficient . Most of the researchers used a scalar parameter to measure the damage variable under the assumption of isotropic damage within the material. The introduction of the second and third dimension in geometrical modeling clearly indicated the limitation of the scalar model that is strictly speaking geometrically justified only in the case of the spherical voids (porosity) and perfectly random micro-cracks [2-180, 2-115,2-61 ]. In all other cases, the orientation of fiat, planar micro-cracks casts a serious doubt on the applicability of the scalar model, in spite of its simplicity [2-46].

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