Continuum Theory of Cumulative Damage
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概要
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A continuum theory of cumulative damage of materials which contain various types of distributed defects is proposed. At first, a study is made of general kinetic models representing three types of defect growth in the elastic material. Here it is assumed that the mechanism of such defect growth is governed by a kind of pure birth process. When the nucleation process of defects is know, the damage accumulation functional at any time after the application of loads is given by the convolution integral of the probability density of defects and the nucleation rate of the defect. The internal structural change of the material brought about by the cumulative damage is ascribable to the nucleation and propagation of the defect, and can be described by introducing internal state variables. This theory is applied to the description of the mechanical and thermodynamical stability condition of equilibrium and steady state in cumulative damage.
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