TY - JOUR
T1 - Axisymmetric pressure boundary loading for finite deformation analysis using p-FEM
AU - Yosibash, Zohar
AU - Hartmann, Stefan
AU - Heisserer, Ulrich
AU - Düster, Alexander
AU - Rank, Ernst
AU - Szanto, Mordechai
N1 - Funding Information:
The authors gratefully acknowledge the support of this work by the German-Israeli Foundation for Scientific Research and Development under grant number I-700-26.10/2001.
PY - 2007/1/10
Y1 - 2007/1/10
N2 - 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.
AB - 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.
KW - Axisymmetry
KW - Finite strains
KW - Follower load
KW - Hyper-elasticity
KW - p-FEM
UR - http://www.scopus.com/inward/record.url?scp=33750955276&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2006.09.006
DO - 10.1016/j.cma.2006.09.006
M3 - Article
AN - SCOPUS:33750955276
SN - 0045-7825
VL - 196
SP - 1261
EP - 1277
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 7
ER -