Rubber fatigue life under multiaxial loading: Numerical and experimental investigations

Numerical and experimental aspects of rubber fatigue crack initiation are investigated in this study. A parameter based on the strain energy density (SED) and predicting the onset of primary crack and its probable orientation was identified for such materials according to the investigations of Mars and Fatemi [1]. In a last work, we have analytically developed this criterion for simple tension (UT), biaxial tension (BT) and simple shear (SS) loadings in the framework of finite strains. The results denote the possibility to predict the orientation plane in which the primary crack would be expected to occur in a material. Then, it was implemented in a finite elements (FE) program. FE and analytical results for the usual strain states were compared and perfect agreement was highlighted. In this study, the load history dependence of the criterion is also pointed out and discussed. Finally, to evaluate life time up to crack nucleation, we have achieved a set of experimental fatigue tests using uniaxial tension (UT) and pure shear (PS) test specimens containing a hole in order to localise the crack initiation. We have also exploited a literature database issued from uniaxial and torsion fatigue tests. The obtained results prove the efficiency of the criterion to describe the fatigue life of rubbers under multiaxial loading.

[1]  Ali Fatemi,et al.  A literature survey on fatigue analysis approaches for rubber , 2002 .

[2]  E. Verron,et al.  A multiaxial criterion for crack nucleation in rubber , 2006 .

[3]  Ali Fatemi,et al.  Fatigue crack nucleation and growth in filled natural rubber , 2003 .

[4]  F. Abraham,et al.  The effect of minimum stress and stress amplitude on the fatigue life of non strain crystallising elastomers , 2005 .

[5]  Georges Cailletaud,et al.  Multiaxial fatigue life prediction for a natural rubber , 2006 .

[6]  N. Saintier,et al.  Configurational Mechanics and Critical Plane Approach: Concept and application to fatigue failure analysis of rubberlike materials , 2010 .

[7]  G. Cailletaud,et al.  Haigh diagram for fatigue crack initiation prediction of natural rubber components , 1999 .

[8]  Ali Fatemi,et al.  Fatigue life analysis and predictions for NR and SBR under variable amplitude and multiaxial loading conditions , 2008 .

[9]  Ali Fatemi,et al.  Multiaxial fatigue of rubber: Part I: equivalence criteria and theoretical aspects , 2005 .

[10]  W. V. Mars,et al.  Cracking Energy Density as a Predictor of Fatigue Life under Multiaxial Conditions , 2002 .

[11]  Ali Fatemi,et al.  Multiaxial fatigue of rubber: Part II: experimental observations and life predictions , 2005 .

[12]  Alan Muhr,et al.  Constitutive Models for Rubber , 1999 .

[13]  D. Bouami,et al.  Prediction of rubber fatigue life under multiaxial loading , 2006 .

[14]  R. Ogden.  Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids , 1972, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[15]  Erwan Verron,et al.  Definition of a new predictor for multiaxial fatigue crack nucleation in rubber , 2008 .