Journal article
Axisymmetric pressure boundary loading for finite deformation analysis using p-FEM
Publication Details
Authors: | Yosibash, Z.; Hartmann, S.; Heisserer, U.; Düster, A.; Rank, E.; Szanto, M. |
Publication year: | 2007 |
Journal: | Computational Methods of Applied Mechanical Engineering |
Pages range : | 1261-1277 |
Volume number: | 196 |
Abstract
Follower loads, i.e. loads which depend on the boundary displacements by definition, frequently occur in finite deformation boundary-value problems. Restricting to axisymmetrical applications, we provide analytical and numerical solutions for a set of problems in compressible Neo-Hookean materials so to serve as benchmark problems for verifying the accuracy and efficiency of various FE methods for follower load applications. Thereafter, the weak formulation for the follower-load in 3-D domain is reduced to an axisymmetrical setting, and, subsequently, consistently linearized in the framework of p-FEMs, exploiting the blending function mapping techniques. The set of axisymmetric benchmark solutions is compared to numerical experiments, in which the results obtained by a p-FEM code are compared to these obtained by a state-of-the-art commercial h-FEM code and to the "exact" results. These demonstrate the efficiency and accuracy of p-FEMs when applied to problems in finite deformations with follower loads. (c) 2006 Elsevier B.V. All rights reserved.
Follower loads, i.e. loads which depend on the boundary displacements by definition, frequently occur in finite deformation boundary-value problems. Restricting to axisymmetrical applications, we provide analytical and numerical solutions for a set of problems in compressible Neo-Hookean materials so to serve as benchmark problems for verifying the accuracy and efficiency of various FE methods for follower load applications. Thereafter, the weak formulation for the follower-load in 3-D domain is reduced to an axisymmetrical setting, and, subsequently, consistently linearized in the framework of p-FEMs, exploiting the blending function mapping techniques. The set of axisymmetric benchmark solutions is compared to numerical experiments, in which the results obtained by a p-FEM code are compared to these obtained by a state-of-the-art commercial h-FEM code and to the "exact" results. These demonstrate the efficiency and accuracy of p-FEMs when applied to problems in finite deformations with follower loads. (c) 2006 Elsevier B.V. All rights reserved.
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