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Composites: Mechanics, Computations, Applications: An International Journal
ESCI SJR: 1.182 SNIP: 0.125 CiteScore™: 0.23

ISSN 印刷: 2152-2057
ISSN オンライン: 2152-2073

Composites: Mechanics, Computations, Applications: An International Journal

DOI: 10.1615/CompMechComputApplIntJ.v2.i1.10
pages 1-20

ON THE HOMOGENEITY HYPOTHESIS, SCALE PARAMETERS OF LENGTH, AND ON THE EDGE EFFECT FOR THE ISOTROPIC COSSERAT CONTINUUM

A. A. Adamov
Institute of Continuum Mechanics, Ural Branch of the Russian Academy of Sciences, Perm

要約

The problems connected with the identification of constants of the Cosserat elastic, isotropic, homogeneous, and centrally symmetric continuum have been considered using solutions of various static and dynamic boundary-value problems. The use of the homogenization method for models of heterogeneous materials and the related limitations on the use of the homogeneity hypothesis in studying the edge effects are discussed. A comparative analysis of the scale parameters of length for combinations of the model's constants obtained experimentally and those obtained theoretically has been carried out. It is shown that the essential effects of the allowance for the couple stresses are mainly displayed in boundary layers whose thickness is commensurable with the scale parameters of length of a particular material modeled by the Cosserat continuum.


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