Circularly cylindrical layered media in plane elasticity |
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Institution: | 1. Department of Mechanical Engineering, National Taiwan University of Science and Technology, 43 Keelung Road, Section 4, Taipei 106, Taiwan, ROC;2. Department of Mechanical Engineering, Nan-Kai Institute of Technology, 568 Chung Cheng Road, Tsao Tun 542, Taiwan, ROC |
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Abstract: | This paper presents an alternative efficient procedure to analyze plane elasticity problems of a circularly cylindrical layered media subject to an arbitrary point force. Based on the method of analytical continuation in conjunction with the alternating technique, the elastic fields of the three-phase media are derived. A rapidly convergent series solution which is expressed in terms of an explicit general term of the complex potential of the corresponding homogeneous problem is obtained in an elegant form. As a numerical illustration, the interfacial stresses are presented for different material combinations and for different positions of the point force. |
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