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By Wohua Zhang

"Continuum harm Mechanics and Numerical functions" provides a scientific improvement of the speculation of Continuum harm Mechanics and its numerical engineering purposes utilizing a unified kind of the mathematical formulations in anisotropic and isotropic harm types. The theoretical framework relies at the thermodynamic thought 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 line with recommendations of damage-dissipation of the cloth kingdom and powerful evolution of fabric homes, some of these complex equations, which take nonsymmetrized results of wear points into consideration, are constructed and changed from the normal common failure types so that they are extra simply utilized and proven in a variety of engineering practices through experimental trying out. Dr. Wohua Zhang is a Professor at Engineering Mechanics learn heart in Zhejiang college of China. Dr. Yuanqiang Cai is a Professor at division of Civil Engineering in Zhejiang college of China.

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Extra resources for Continuum Damage Mechanics and Numerical Applications (Advanced Topics in Science and Technology in China)

Sample text

1 Different Damage Definitions due to Different Measurements Some researchers (Cordier and Dang [2-166] and Bodner [2-167]) directly take the ratio of the number of damaged and total grains as the damage variable for investigating the fatigue damage. Because there are a great number and various shapes of micro-cavities in a material, it is difficult to describe 18 2 Review of Damage Mechanics the geometry for every cavity. Thus, most of the researchers try to find an abstract damage variable, which may be considered as a scalar, vector or tensor, for phenomenological description of any kind of micro-defect [2-32].

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]. It is interesting to note that most of the micro-crack representations retained the original idea of Kachanov, adopting the void area density as the measure of damage in the observed plane. Therefore, in the simplest case, the damage variable is always to be considered as a scalar function , but in a more complex case, the damage variable must be considered as a vector or tensor function.

Kachanov [2-3] first proposed a phenomenological theory of creep damage in an uniaxial state of stress, and his theory has been extended to a multiaxial state of stress to develop the constitutive relationship of damaged materials by several researchers such as [2-259, 2-64, 2-194, 2-256 rv 260]. Hayhurst [2-7] extended the constitutive equation for creep under uniaxial t ension to multiaxial stress state and Leckie and Hayhurst [2-258] solved the problem of a damaged circular bar. The majority of these constitutive equations have been formulated on the assumption of the isotropy of the damage, or principal stress coordinates fixed in the material [2-261 , 2-262, 2-8, 2-26, 2-62].

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