On the Stochastic Micromechanical Approach to the Response Behaviour of Engineering Materials
The material system is considered as heterogeneous medium of actual microstructural elements. These elements exhibit random geometric and physical characteristics. Due to the discrete nature of the microstructure, the pertaining deformation process and its space- and time-evolutions are seen to be stochastic in character. Thus, the overall response behaviour of the material is formulated by the use of probabilistic concepts and statistical theory. An important feature of the theory is the introduction of a stochastic “Material Operator” that contains the significant response characteristics of the microstructure. These concepts are, first, utilized to formulate the outlines of a stochastic micromechanical theory of deformation for a heterogeneous elastoplastic system. The presented approach is, then, extended to include the analysis of probable internal damage mechanisms in this class of material.
KeywordsMaterial System Response Behaviour Material Operator Stochastic Function Classical Continuum Mechanic
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