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Contrast Expansion Method for Elastic Incompressible Fibrous Composites
Joint Authors
Mityushev, Vladimir
Drygaś, Piotr
Source
Advances in Mathematical Physics
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-10-17
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Drygaś, Piotr& Mityushev, Vladimir. 2017. Contrast Expansion Method for Elastic Incompressible Fibrous Composites. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1123179
Modern Language Association (MLA)
Drygaś, Piotr& Mityushev, Vladimir. Contrast Expansion Method for Elastic Incompressible Fibrous Composites. Advances in Mathematical Physics No. 2017 (2017), pp.1-11.
https://search.emarefa.net/detail/BIM-1123179
American Medical Association (AMA)
Drygaś, Piotr& Mityushev, Vladimir. Contrast Expansion Method for Elastic Incompressible Fibrous Composites. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-11.
https://search.emarefa.net/detail/BIM-1123179
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1123179