In the first part of this paper a pressure projection method was presented for the nonlinear analysis of structures made of nearly incompressible hyperelastic materials. The main focus of the second part of the paper is to demonstrate the performance of the present method and to address some of the issues related to the analysis of engineering elastomers including the proper selection of strain energy density functions. The numerical procedures and the implementation to nonlinear finite element programs are presented. Mooney-Rivlin, Cubic, and Modified Cubic strain energy density functions are used in the numerical examples. Several classical finite elasticity problems as well as some practical engineering elastomer problems are analyzed. The need to account for the slight compressibility of rubber (finite bulk modulus) in the finite element formulation is demonstrated in the study of apparent Young’s modulus of bonded thin rubber units. The combined shear-bending deformation that commonly exists in rubber mounting systems is also analyzed and discussed.
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December 1996
Technical Papers
A Pressure Projection Method for Nearly Incompressible Rubber Hyperelasticity, Part II: Applications
Jiun-Shyan Chen,
Jiun-Shyan Chen
Department of Mechanical Engineering and Center for Computer-Aided Design, The University of Iowa, 2133 Engineering Building, Iowa City, IA 52242-1527
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Cheng-Tang Wu,
Cheng-Tang Wu
Department of Mechanical Engineering and Center for Computer-Aided Design, The University of Iowa, 2133 Engineering Building, Iowa City, IA 52242-1527
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Chunhui Pan
Chunhui Pan
Department of Mechanical Engineering and Center for Computer-Aided Design, The University of Iowa, 2133 Engineering Building, Iowa City, IA 52242-1527
Search for other works by this author on:
Jiun-Shyan Chen
Department of Mechanical Engineering and Center for Computer-Aided Design, The University of Iowa, 2133 Engineering Building, Iowa City, IA 52242-1527
Cheng-Tang Wu
Department of Mechanical Engineering and Center for Computer-Aided Design, The University of Iowa, 2133 Engineering Building, Iowa City, IA 52242-1527
Chunhui Pan
Department of Mechanical Engineering and Center for Computer-Aided Design, The University of Iowa, 2133 Engineering Building, Iowa City, IA 52242-1527
J. Appl. Mech. Dec 1996, 63(4): 869-876 (8 pages)
Published Online: December 1, 1996
Article history
Received:
May 8, 1995
Revised:
November 28, 1995
Online:
October 26, 2007
Connected Content
This is a companion to:
A Pressure Projection Method for Nearly Incompressible Rubber Hyperelasticity, Part I: Theory
Citation
Chen, J., Wu, C., and Pan, C. (December 1, 1996). "A Pressure Projection Method for Nearly Incompressible Rubber Hyperelasticity, Part II: Applications." ASME. J. Appl. Mech. December 1996; 63(4): 869–876. https://doi.org/10.1115/1.2787241
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