Using a Smoothing Averaging Operator to Evaluate Macroscopic Parameters in Structurally Inhomogeneous Materials |
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Authors: | A L Svistkov S E Evlampieva |
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Institution: | (1) Institute of Mechanics of Continua, Ural Division, Russiand Academy of Sciences, Perm', 614013 |
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Abstract: | A smoothing averaging operator is used in passing from structural to macroscopic modeling of the stress–strained state of an article from a composite material taking into account finite strains. A model is constructed using an integral operator, in which the macroscopic laws of conservation of energy and mass and the equation of motion have the ordinary form used to describe processes in homogeneous materials. As an example, macroscopic parameters are evaluated in a system consisting of an ensemble of inclusions in an infinite matrix. |
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Keywords: | integral operator averaging macroscopic parameters structurally inhomogeneous materials |
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