International Conference «Mathematical and Informational Technologies, MIT-2011»
(IX Conference «Computational and Informational Technologies for Science,
Engineering and Education»)
Sadovskiy V.M.Mathematical models of structurally inhomogeneous media and their numerical implementation on multiprocessor systems Rheological method for the construction of constitutive equations is the basis of phenomenological approach to the description of a stressed-strained state of structurally inhomogeneous materials with complex mechanical properties. This method enables one to construct mathematical models which describe quantitative characteristics of materials with a satisfactory accuracy and are of a good mathematical structure. To take into account different resistance of materials to tension and compression, rheological method is supplemented by a new element, a rigid contact, which serves for imitation of perfectly granular material with rigid particles. By using a rigid contact in combination with conventional rheological elements (an elastic spring, a viscous damper, and a plastic hinge) one can construct constitutive equations of materials with complex structure. This work was supported by the Russian Foundation for Basic Research (project no. 11-01-00053), by Complex Fundamental Research Program no. 2 of the Presidium of RAS (Intelligent Information Technologies, Mathematical Modeling, System Analysis and Automation) and by the Interdisciplinary Integration Project no. 40 of the Siberian Branch of RAS.
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