Thermal stresses in a viscoelastic three-phase composite cylinder |
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Authors: | CK Chao CT Chuang RC Chang |
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Institution: | aDepartment of Mechanical Engineering, National Taiwan University of Science and Technology, Taipei 106, Taiwan;bDepartment of Mechanical and Computer-Aided Engineering, St. John’s University, Tamsui 251, Taiwan |
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Abstract: | A thermoviscoelastic analysis of a three-phase composite cylinder is presented in this work. The solutions of the heat conduction and thermoelastic problem for three dissimilar media are derived based on the method of analytic continuation associated with the alternation technique. A rapidly convergent series solution for both the temperature and stress field, which is expressed in terms of an explicit general term of the corresponding homogeneous potential, is obtained in an elegant form. The hereditary integral in conjunction with the Kelvin–Maxwell model is applied to simulate the thermoviscoelastic properties while a thermorheologically simple material is considered. According to the correspondence principle, the Laplace transformed thermoviscoelastic solution is directly determined from the corresponding thermoelastic one. The real time solution can then be solved numerically by taking inverse Laplace transform. Finally, some typical examples of interfacial stresses are discussed. |
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Keywords: | Composite cylinder Trimaterial Thermoviscoelasticity |
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