This content is not included in
your SAE MOBILUS subscription, or you are not logged in.
On the Determination of Strain Energy Functions of Rubbers
Annotation ability available
Sector:
Language:
English
Abstract
Methodology of determining coefficients of material strain energy functions of rubbers from experimental measurements of homogeneous deformations is examined within the scope of the 3rd order deformation theory [3]. Closed-form solutions of most frequently employed material testing deformations - simple tensile, pure shear and equal bi-axial deformations - are examined to reveal the shortcomings of using any one deformation in characterizing the strain energy function, In order to obtain a more representative material strain energy function, employment of more than one homogenous deformation is recommended along with improved material sampling. In situations, however, where data from simple-tensile deformation alone are available a set of constraints on the coefficients have been derived that improves the extrapolation characteristics of the fitted function.
Recommended Content
| Aerospace Material Specification | Test Slabs, Fluoroelastomer (FKM) 65 - 75 |
| Technical Paper | Self-Bonding Liquid Silicone Rubber Technology for Various Rigid Substrates |
Authors
Citation
Kao, B. and Razgunas, L., "On the Determination of Strain Energy Functions of Rubbers," SAE Technical Paper 860816, 1986, https://doi.org/10.4271/860816.Also In
References
- Truesdell, C. Noll, W. “The Non-linear Field Theories of Mechanics” Encylopedia of Physics, III/3 Fluegge S. Springer-Verlag Berlin 1965
- Mooney, M. “A Theory of Large Elastic Deformation J. of Applied Physics 11 1940 582 592
- James, A. G. Green, A. Simpson, G. M. “Strain Energy Functions of Rubber, I. Characterization of Gum Vulcanizates J. Applied Polymer Science 19 1975 1033 2058
- Morman, K. N., Jr. Kao, B. G. Nagtegaal, J.C. “Finite Element Analysis of Viscoelastic Elastomeric Structures Vibrating About Nonlinear Statically Stressed Configurations” 4-th International Conference on Vehicle Structural Mechanics SAE 1981 83 92
- Noll, W. “A Mathematical Theory of the Mechanical Behavior of Continuous Media Arch. Rational Mechanics and Analysis 2 1958 197 557
- Rivlin, R.S. Sawyers, K.N. “the Strain Energy Function for Elastomers” Trans. Society of Rheology 20 1976 545 557
- Rivlin, R. S. Saunders, D. W. “Large Elastic Deformations of Isotropic Materials: VII. Experiments on the Deformation of Rubber” Phil. Trans. A 243 1950 251 288
- Sullivan, J. L. Demery, V.C. “The Non-linear Viscoelastic Behavior of a Carbon-Black-Filled Elastomer” J. of Polymer Sciences 20 1982 2083 2101
- MARC User Information Manual A MARC Analysis Research Corporation Palo Alto, Cal.
- ABAQUS User's Manual Hibbitt, Karlsson and Sorensen, Inc. Providence, Rhose Island
- Razgunas, L. Morman, K. N. Jr. Sullivan J. L. MATCON, A computer Program for Extracting Elastomeric Material Model Parameters from Stress Relaxational Data 1984