By Wohua Zhang
"Continuum harm Mechanics and Numerical purposes" 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 versions. The theoretical framework is predicated 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 nation, and evolution equations of micro-structures. in line with recommendations of damage-dissipation of the fabric country and potent evolution of fabric houses, these kind of complicated equations, which take nonsymmetrized results of wear features under consideration, are built and changed from the normal normal failure versions in order that they are extra simply utilized and validated in quite a lot of engineering practices through experimental checking out. Dr. Wohua Zhang is a Professor at Engineering Mechanics study 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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Additional info for Continuum Damage Mechanics and Numerical Applications (Advanced Topics in Science and Technology in China)
Unfortunately, the inference is inconsistent with the damage observations of practical materials, and it is also incompatible with the conclusions from micro-mechanics [2-199, 2-200]. Consequently, a fresh survey of the basis of damage mechanics theory, in order to establish a much more rigorous theoretical system, has great and important significance. Therefore, the double-scalar damage models were developed [2-145 , 2-198, 2-201]. However, in the previous researches the relations and differences between the single and double scalar damage models were not discussed.
2 Survey of Damage Phenomena n 19 I -A· Q =A A Fig. 2-1 Illustration of damage as the surface density of the intersect of cracks and cavities D = 1 - E* /E (2-2) that E * is the effective Young's modulus of damaged material. (2-2) could only be derived from Lemaitre's hypothesis of strain equivalence [2-22, 2-30]. However, in the case of anisotropic damage, this hypothesis cannot be directly applied satisfactorily and hence a different approach to strain energy equivalence is necessary and has been presented in [2-99].
The measure of damage considered by Pieichnik and Pachla [2-176] and Cheng [2-177] was the ratio of strain for damaged and undamaged cases as D = l -c/c* (2-5) The damage variable considered by Rosuselier [2-106] is measured from the mass density of material. From his calculations, the mass density of a damaged 20 2 Review of Damage Mechanics material p* must be less than the original undamaged one Po. Accordingly, the damage variable can be defined as n=1- p* j po (2-6) It should be noted that only in the case of large plastic deformation does this definition becomes valid [2-178].