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| An analytical method for bi-periodic arrays of annular cross-section inclusions under antiplane shear |
| Received:March 23, 2008 |
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| DOI：10.7511/jslx20101026 |
| KeyWord:bi-periodic array inclusion with annular cross-section eigenstrain quasi-bi-periodic Riemann boundary value problem |
| Author | Institution |
| 徐耀玲 |
燕山大学 建筑工程与力学学院, 秦皇岛 |
| 沈艳芝 |
燕山大学 机械工程学院, 秦皇岛 |
| 刘新桥 |
燕山大学 建筑工程与力学学院, 秦皇岛 |
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| Abstract: |
| An infinite elastic solid containing a bi-periodic parallelogrammic array of annular cross-section inclusions under antiplane shear is dealt with. By introducing eigensrtains in bi-periodic annular regions, the problem of bi-periodic inclusions is transformed into ones of homogeneous materials with bi-periodic eigenstrains. Combined with theories of bi-period function and bi-quasi-periodic Riemann boundary value problem, the series form solutions of elastic field in each region are obtained. As an application, the effective longitudinal shear modulus of composite materials containing such a bi-periodic annular cross-section inclusions are predicted by the average field theory. Numerical results show that composite materials with annular cross-section inclusions have higher effective longitudinal shear modulus than that of composite materials with circular cross-section inclusions on the condition of the same inclusion volume fraction. |
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