A transversely isotropic fiber reinforced elastomer’s hyperelasticity is characterized using a series of constitutive tests (uniaxial tension, uniaxial compression, simple shear, and constrained compression test). A suitable transversely isotropic hyperelastic invariant based strain energy function is proposed and methods for determining the material coefficients are shown. This material model is implemented in a finite element analysis by creating a user subroutine for a commercial finite element code and then used to analyze the material tests. A useful set of constitutive material data for multiple modes of deformation is given. The proposed strain energy function fits the experimental data reasonably well over the strain region of interest. Finite element analysis of the material tests reveals further insight into the materials constitutive nature. The proposed strain energy function is suitable for finite element use by the practicing engineer for small to moderate strains. The necessary material coefficients can be determined from a few simple laboratory tests.
Skip Nav Destination
e-mail: l8smith@oakland.edu
Article navigation
April 2011
Research Papers
A Simple Transversely Isotropic Hyperelastic Constitutive Model Suitable for Finite Element Analysis of Fiber Reinforced Elastomers
Lorenzo M. Smith
Lorenzo M. Smith
Associate Professor
Department of Mechanical Engineering,
e-mail: l8smith@oakland.edu
Oakland University
, 118 Dodge Hall, Rochester, MI 48309
Search for other works by this author on:
Leslee W. Brown
Engineering Manager
Lorenzo M. Smith
Associate Professor
Department of Mechanical Engineering,
Oakland University
, 118 Dodge Hall, Rochester, MI 48309e-mail: l8smith@oakland.edu
J. Eng. Mater. Technol. Apr 2011, 133(2): 021021 (13 pages)
Published Online: March 23, 2011
Article history
Received:
May 26, 2010
Revised:
December 31, 2010
Online:
March 23, 2011
Published:
March 23, 2011
Citation
Brown, L. W., and Smith, L. M. (March 23, 2011). "A Simple Transversely Isotropic Hyperelastic Constitutive Model Suitable for Finite Element Analysis of Fiber Reinforced Elastomers." ASME. J. Eng. Mater. Technol. April 2011; 133(2): 021021. https://doi.org/10.1115/1.4003517
Download citation file:
Get Email Alerts
Evaluation of Machine Learning Models for Predicting the Hot Deformation Flow Stress of Sintered Al–Zn–Mg Alloy
J. Eng. Mater. Technol (April 2025)
Blast Mitigation Using Monolithic Closed-Cell Aluminum Foam
J. Eng. Mater. Technol (April 2025)
Irradiation Damage Evolution Dependence on Misorientation Angle for Σ 5 Grain Boundary of Nb: An Atomistic Simulation-Based Study
J. Eng. Mater. Technol (July 2025)
Related Articles
A Transversely Isotropic Viscoelastic Constitutive Equation for Brainstem Undergoing Finite Deformation
J Biomech Eng (December,2006)
Mechanical Characterization of Anisotropic Planar Biological Soft
Tissues Using Large Indentation: A Computational Feasibility
Study
J Biomech Eng (June,2006)
Pointwise Identification of Elastic Properties in Nonlinear Hyperelastic Membranes—Part II: Experimental Validation
J. Appl. Mech (November,2009)
Equivalence Between Short-Time Biphasic and Incompressible Elastic Material Responses
J Biomech Eng (June,2007)
Related Proceedings Papers
Related Chapters
Basic Concepts
Design & Analysis of ASME Boiler and Pressure Vessel Components in the Creep Range
Material Properties for Use in FEA Modeling: Sealant Behavior with Ambient Laboratory Climate Aging
Durability of Building and Construction Sealants and Adhesives
Fatigue Analysis in the Connecting Rod of MF285 Tractor by Finite Element Method
International Conference on Advanced Computer Theory and Engineering, 4th (ICACTE 2011)