论文信息 - A model of incompressible isotropic hyperelastic material behavior using spline interpolations of tension–compression test data

A model of incompressible isotropic hyperelastic material behavior using spline interpolations of tension–compression test data

We present a model of incompressible isotropic hyperelastic material behavior based on a strain energy description separable in terms of logarithmic strains and piecewise spline interpolations of uniaxial tension–compression test data. Valuable attributes are that no fitting of model constants is carried out and the model replicates even physically complicated test data very accurately for small and large strains and for tension and compression. The model is well suited for use in finite element analysis. Copyright © 2008 John Wiley & Sons, Ltd.

Klaus-Jürgen Bathe | Theodore Sussman | K. Bathe | Theodore Sussman

[1] R. Ogden. Non-Linear Elastic Deformations , 1984 .

[2] R. Landel,et al. The Strain‐Energy Function of a Hyperelastic Material in Terms of the Extension Ratios , 1967 .

[3] R. Borst,et al. On the behaviour of rubberlike materials in compression and shear , 1994 .

[4] L. Treloar,et al. The properties of rubber in pure homogeneous strain , 1975 .

[5] H. Saunders. Book Reviews : NUMERICAL METHODS IN FINITE ELEMENT ANALYSIS K.-J. Bathe and E.L. Wilson Prentice-Hall, Inc, Englewood Cliffs, NJ , 1978 .

[6] A. J. Carmichael,et al. Phenomenological Elastomechanical Behavior of Rubbers over Wide Ranges of Strain , 1961 .

[7] K. Bathe,et al. A finite element formulation for nonlinear incompressible elastic and inelastic analysis , 1987 .

[8] K. Bathe. Finite Element Procedures , 1995 .

[9] E. Kearsley,et al. Some Methods of Measurement of an Elastic Strain‐Energy Function of the Valanis‐Landel Type , 1980 .

[10] Richard W. Hamming,et al. Numerical Methods for Scientists and Engineers , 1962 .

[11] M. Mooney. A Theory of Large Elastic Deformation , 1940 .

[12] M. Boyce,et al. Constitutive models of rubber elasticity: A review , 2000 .