Contrast Expansion Method for Elastic Incompressible Fibrous Composites

Autor: Piotr Drygaś, Vladimir Mityushev
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Advances in Mathematical Physics, Vol 2017 (2017)
Druh dokumentu: article
ISSN: 1687-9120
1687-9139
DOI: 10.1155/2017/4780928
Popis: Contrast parameter expansion of the elastic fields for 2D composites is developed by Schwarz’s method and by the method of functional equations for the case of circular inclusions. A computationally efficient algorithm is described and implemented in symbolic form to compute the local fields in 2D elastic composites and the effective shear modulus for macroscopically isotropic composites. The obtained new analytical formula contains high-order terms in the contrast parameter and explicitly demonstrates dependence on the location of inclusions. As a numerical example, the hexagonal array is considered.
Databáze: Directory of Open Access Journals
Externí odkaz: