Volume integral equation method for multiple circular and elliptical inclusion problems in antiplane elastostatics
A Volume Integral Equation Method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting multiple isotropic and anisotropic circular/elliptical inclusions subject to remote antiplane shear. This method is applied to two-dimension...
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| Published in | Composites. Part B, Engineering Vol. 43; no. 3; pp. 1224 - 1243 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Kidlington
Elsevier Ltd
01.04.2012
Elsevier |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1359-8368 1879-1069 |
| DOI | 10.1016/j.compositesb.2011.11.066 |
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| Abstract | A Volume Integral Equation Method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting multiple isotropic and anisotropic circular/elliptical inclusions subject to remote antiplane shear. This method is applied to two-dimensional problems involving long parallel cylindrical inclusions. A detailed analysis of the stress field at the interface between the matrix and the central inclusion is carried out for square and hexagonal packing of isotropic and anisotropic inclusions. The effects of the number of isotropic and anisotropic inclusions and various fiber volume fractions on the stress field at the interface between the matrix and the central circular/elliptical inclusion are also investigated in detail. The accuracy of the method is validated by solving single isotropic and orthotropic circular/elliptical inclusion problems and multiple isotropic circular and elliptical inclusion problems for which solutions are available in the literature. |
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| AbstractList | A Volume Integral Equation Method (VIEM) is introduced for the solution of elastostatic problems in an unbounded isotropic elastic solid containing interacting multiple isotropic and anisotropic circular/elliptical inclusions subject to remote antiplane shear. This method is applied to two-dimensional problems involving long parallel cylindrical inclusions. A detailed analysis of the stress field at the interface between the matrix and the central inclusion is carried out for square and hexagonal packing of isotropic and anisotropic inclusions. The effects of the number of isotropic and anisotropic inclusions and various fiber volume fractions on the stress field at the interface between the matrix and the central circular/elliptical inclusion are also investigated in detail. The accuracy of the method is validated by solving single isotropic and orthotropic circular/elliptical inclusion problems and multiple isotropic circular and elliptical inclusion problems for which solutions are available in the literature. |
| Author | Kim, Hye-Ran Lee, Jungki |
| Author_xml | – sequence: 1 givenname: Jungki surname: Lee fullname: Lee, Jungki email: inq3jkl@wow.hongik.ac.kr organization: Department of Mechanical and Design Engineering, Hongik University, Jochiwon-Eup, Yeonki-Gun, Chungnam 339-701, Republic of Korea – sequence: 2 givenname: Hye-Ran surname: Kim fullname: Kim, Hye-Ran email: hkim7@wow.hongik.ac.kr organization: College of Business Management, Hongik University, Jochiwon-Eup, Yeonki-Gun, Chungnam 339-701, Republic of Korea |
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| CitedBy_id | crossref_primary_10_1016_j_aml_2021_107431 crossref_primary_10_1016_j_enganabound_2013_05_002 crossref_primary_10_1155_2015_809320 crossref_primary_10_1155_2013_942073 crossref_primary_10_1016_j_euromechsol_2013_09_008 crossref_primary_10_1177_0731684418796308 crossref_primary_10_1016_j_enganabound_2013_11_009 crossref_primary_10_1016_j_compositesb_2012_05_025 crossref_primary_10_1142_S021987621840025X crossref_primary_10_1007_s12206_022_1225_0 crossref_primary_10_3390_ma14226996 crossref_primary_10_1016_j_enganabound_2013_07_007 |
| Cites_doi | 10.1007/BF00045701 10.1115/1.2787282 10.1016/0093-6413(95)00021-I 10.1007/s00466-010-0493-1 10.1007/s00466-009-0365-8 10.1023/A:1007698807293 10.1115/1.2338056 10.1115/1.2894041 10.1115/1.2787329 10.1093/imamat/3.4.376 10.1016/j.enganabound.2011.02.004 10.1016/S0020-7683(98)00023-7 10.2514/1.33983 10.1090/qam/1178429 10.1002/zamm.200700149 10.1115/1.2899477 10.1002/nme.1620211109 10.1098/rspa.1997.0136 10.1002/nme.1620320205 10.1016/j.enganabound.2005.08.013 10.1016/S0020-7683(98)00286-8 10.1016/S0020-7683(99)00174-2 |
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| Keywords | C. Numerical analysis A. Fibres C. Computational modelling Volume Integral Equation Method (VIEM) B. Anisotropy Polymer Numerical simulation Modeling |
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| SubjectTerms | A. Fibres Applied sciences B. Anisotropy C. Computational modelling C. Numerical analysis composite materials Composites elasticity (mechanics) equations Exact sciences and technology Forms of application and semi-finished materials Laminates methodology Physicochemistry of polymers Polymer industry, paints, wood Technology of polymers Volume Integral Equation Method (VIEM) |
| Title | Volume integral equation method for multiple circular and elliptical inclusion problems in antiplane elastostatics |
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