Contrast Expansion Method for Elastic Incompressible Fibrous Composites
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 e...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/4780928 |
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| _version_ | 1832554977291141120 |
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| author | Piotr Drygaś Vladimir Mityushev |
| author_facet | Piotr Drygaś Vladimir Mityushev |
| author_sort | Piotr Drygaś |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e21df0e9b0b44dd592f6b0443c723c16 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e21df0e9b0b44dd592f6b0443c723c162025-02-03T05:49:56ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/47809284780928Contrast Expansion Method for Elastic Incompressible Fibrous CompositesPiotr Drygaś0Vladimir Mityushev1Department of Differential Equations and Statistics, Faculty of Mathematics and Natural Sciences, University of Rzeszow, Pigonia 1, 35-959 Rzeszow, PolandPedagogical University, Ul. Podchorazych 2, 30-084 Krakow, PolandContrast 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.http://dx.doi.org/10.1155/2017/4780928 |
| spellingShingle | Piotr Drygaś Vladimir Mityushev Contrast Expansion Method for Elastic Incompressible Fibrous Composites Advances in Mathematical Physics |
| title | Contrast Expansion Method for Elastic Incompressible Fibrous Composites |
| title_full | Contrast Expansion Method for Elastic Incompressible Fibrous Composites |
| title_fullStr | Contrast Expansion Method for Elastic Incompressible Fibrous Composites |
| title_full_unstemmed | Contrast Expansion Method for Elastic Incompressible Fibrous Composites |
| title_short | Contrast Expansion Method for Elastic Incompressible Fibrous Composites |
| title_sort | contrast expansion method for elastic incompressible fibrous composites |
| url | http://dx.doi.org/10.1155/2017/4780928 |
| work_keys_str_mv | AT piotrdrygas contrastexpansionmethodforelasticincompressiblefibrouscomposites AT vladimirmityushev contrastexpansionmethodforelasticincompressiblefibrouscomposites |