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X. Pu* and S.R. Robertson+

*Department of Ocean Engineering, Florida Atlantic University, Boca Raton, Florida, United States of America
+Department of Mechanical Engineering, Lowell, Massachusetts, United States of America

doi:10.4203/ccp.55.1.1

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X. Pu, S.R. Robertson, "Application of the Finite Volume Method to Axisymmetric Problems in Elasticity", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 1-7, 1998. doi:10.4203/ccp.55.1.1

Abstract

The finite-volume method is an outgrowth of control-volume methods as applied in transport processes. It has only recently been applied to problems in solid mechanics. The reasons for the interest in this method are: 1. Quantities are locally conserved. 2. The formulation is very clear physically. 3. Multiphysics problems involving fluid flows can be modeled very effectively. In this paper, the method is applied to some fundamental problems in elasticity that are axisymmetric. Further, since only elastic behavior is considered, the finite-volume is a material volume rather than a spatial volume, as used in transport problems. The method is applied to four fundamental problems in elasticity for which there are exact solutions: 1. A cylinder having a radially varying temperature, 2. A rotating disc, 3. A cylindrical shell with internal and external pressure distributions, and 4. A cylinder with normal stresses acting on the lateral surface.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 55 ADVANCES IN COMPUTATIONAL STRUCTURAL MECHANICS Edited by: B.H.V. Topping Paper I.1 Application of the Finite Volume Method to Axisymmetric Problems in Elasticity X. Pu* and S.R. Robertson+ *Department of Ocean Engineering, Florida Atlantic University, Boca Raton, Florida, United States of America +Department of Mechanical Engineering, Lowell, Massachusetts, United States of America doi:10.4203/ccp.55.1.1 purchase the full-text of this paper Full Bibliographic Reference for this paper X. Pu, S.R. Robertson, "Application of the Finite Volume Method to Axisymmetric Problems in Elasticity", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 1-7, 1998. doi:10.4203/ccp.55.1.1 Abstract The finite-volume method is an outgrowth of control-volume methods as applied in transport processes. It has only recently been applied to problems in solid mechanics. The reasons for the interest in this method are: 1. Quantities are locally conserved. 2. The formulation is very clear physically. 3. Multiphysics problems involving fluid flows can be modeled very effectively. In this paper, the method is applied to some fundamental problems in elasticity that are axisymmetric. Further, since only elastic behavior is considered, the finite-volume is a material volume rather than a spatial volume, as used in transport problems. The method is applied to four fundamental problems in elasticity for which there are exact solutions: 1. A cylinder having a radially varying temperature, 2. A rotating disc, 3. A cylindrical shell with internal and external pressure distributions, and 4. A cylinder with normal stresses acting on the lateral surface. purchase the full-text of this paper (price £20) go to the next paper return to the table of contents return to the book description purchase this book (price £95 +P&P)
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