By Prof. Wohua Zhang, Prof. Yuanqiang Cai (auth.)
"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 type of the mathematical formulations in anisotropic and isotropic harm versions. The theoretical framework is predicated at the thermodynamic idea of power and fabric dissipation and is defined through a collection of basic formulations of constitutive equations of broken fabrics, improvement equations of the broken kingdom, and evolution equations of micro-structures. in keeping with ideas of damage-dissipation of the fabric kingdom and potent evolution of fabric homes, these kinds of complicated equations, which take nonsymmetrized results of wear features under consideration, are constructed and changed from the normal normal failure types so that they are extra simply utilized and validated in a variety of engineering practices by means of experimental testing.
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 college of China.
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Additional resources for Continuum Damage Mechanics and Numerical Applications
From the point of view of thermodynamics, the damage variable must be able to indicate the irreversible process of micro-structural change within the material. Therefore, damage is an internal variable, which must be a function of material properties, loading, temperature, time, etc. However, this internal variable must be capable of prescribing damage growth and propagation [2-35 rv 36 , 2-61]. The choice of the damage variable is not simple. It can be achieved either by a micro-structural analysis or by a direct generalization of experimental data.
0 Fig. 4 Damage Evolution due to Super-Plastic Void Growth Based on the dominant damage mechanisms of super-plastic materials discussed above, two types of damage evolution equations have been developed. One assumes that the mechanism of void growth is due to stress directed vacancy diffusion. The deformation of the cavitated material is described as a cavitated cylinder, the radius of which is equal to the cavity spacing 1. For the behavior of the slab containing a spherical cavity of radius T'h, the proposed mechanism needs to account for the extent of the diffusion zone indicated by rd.
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. For example, in the case of anisotropy the damage state within a material must be expressed by a set of stat e variables- tensor functions which had been first suggested by Leckie and Onat [2-61]' Cordebois and Sidoroff [2-181]' Murakami and Ohno [2-49]. As Lemaitre pointed out in [2-28"-'31]' between the micro-level and macrolevel, there exists a macro-scale level of constitutive equations for strain behavior.
Continuum Damage Mechanics and Numerical Applications by Prof. Wohua Zhang, Prof. Yuanqiang Cai (auth.)