A general method is worked out on the basis of principles of Gibbs' statistical mechanics which allows to find stationary probabilities and transition probabilities for physical quantities provided either the behaviour of their mean values or the general form of corresponding equations of motion (La
Nonequilibrium statistical theory of inhomogeneous damage
โ Scribed by Diao Xiaoxue; Xing Xiusan; Ding Hongzhi
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 307 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0013-7944
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โฆ Synopsis
The shortcomings of Continuum Damage Mechanics (CDM) are discussed and nonequilibrium statistical physics is used to establish a new statistical theory of inhomogeneous damage. The growth of microscopically damaged regions (cracks, voids, etc.) is regarded as the elementary process of damage to the material structure and the damage parameter is universally defined as the failure probability of the material due to the growth of the damaged regions. From the evolution equation of damaged regions and minimum strength principle, a partial differential equation which universally describes the evolution of the damage parameter is found. This equation can not only characterize the kinetic process of damage evolution, but also establish the relationships between the mechanism of damage-growth of the microscopically damaged regions and the result of damage degradation of material properties.
๐ SIMILAR VOLUMES
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