Papers by Keyword: Thick-Walled Hollow Cylinder

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Authors: Ying Chen, Zhifei Shi
Abstract: In the present paper, a long thick-walled piezothermoelastic hollow cylinder under a symmetric thermal loading is studied. Based on the theory of elasticity, the mechanical and electrical as well as the thermal fields of the cylinder are obtained. Besides, the effects of both temperature change and the material difference between two layers on the mechanical responses and electric output of the cylinder are investigated in detail. For comparison, some discussions of numerical results are addressed at the end of this paper.
Authors: Zhifei Shi, Tao Tao Zhang
Abstract: In the present paper, two kinds of thick-walled hollow cylinders are studied. One is the cylinder with multi-layers and another is functionally graded cylinder. Both the cylinders are made of piezoelectric materials. Based on the basic piezoelectric equations, the exact solutions for the elastic hollow cylinder with N-layers submitted to external voltage are obtained. For the graded hollow cylinder the exact solutions are obtained by using displacement method and three hypergeometric functions. Comparisons demonstrate that the limitation of the multilayer cases is consistent with that of graded cases.
Authors: Ai Zhong Lu, Ning Zhang
Abstract: Thick-walled hollow cylinder is an important class of engineering structure, the stress state of which depends on the loads and properties of the body materials. Under the assumptions of σθ-σr=c (σθ and σr denote the hoop stress and radial stress, respectively, c is a constant), inverse analysis of thick-walled hollow cylinder composed of functionally graded materials with uniform pressure acting on the outer surface is carried out. Analytical solutions for the Young’s modulus variation in the radial direction are obtained. It is found that only when the Young’s modulus E(r) is a specific monotone increasing function of the radius r, the pre-specified stress distribution can be satisfied. Comparing with classical homogeneous materials, stress concentration at the inner surface of hollow cylinder composed of functionally graded materials can be alleviated. Hence the elastic ultimate bearing capacity of hollow cylinder can be improved strikingly. For functionally graded materials, the elastic ultimate bearing capacity can be improved strikingly by increasing the thickness of cylinder, which is not so obvious for classical homogeneous materials.
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