Fast evaluation of the fatigue lifetime of rubber-like materials based on a heat build-up protocol and micro-tomography measurements

The temperature of rubber-like materials increases under cyclic loadings, due to their dissipative behaviour and low thermal conductivity. This well-known phenomenon, called heat build-up, has attracted the attention of researchers for a long time. But, to our knowledge, no published studies have tried to link this temperature rise to fatigue behaviour, as already done for many metallic materials. Two main points are discussed in this paper. The first one is dedicated to heat build-up measurements: a specific experimental protocol was developed to capture the instantaneous heat build-up and, based on this protocol, a "heat build-up test" was defined in order to link the temperature rise to the principal maximum strain, which is a commonly used variable for fatigue criterion. A discussion on the correlation between these results and the fatigue behaviour is opened. This relation is illustrated for several industrial materials by a comparison between heat build-up measurements and fatigue life duration. The second point investigates the ability to couple X-ray tomography measurements presented elsewhere [1] to the former heat build-up results in order to predict the initiation lifetime. An approach based on a critical energy criterion was proposed and the comparison to a classic Wohler curve approach gave very good results.

[1]  E. Verron,et al.  Micro-mechanism of fatigue crack growth: comparison between carbon black filled natural and styrene butadiene rubbers , 2005 .

[2]  E. Verron,et al.  Mechanism of Fatigue Crack Growth in Carbon Black Filled Natural Rubber , 2004 .

[3]  Antonino Risitano,et al.  Rapid determination of the fatigue curve by the thermographic method , 2002 .

[4]  François Hild,et al.  A probabilistic two-scale model for high-cycle fatigue life predictions , 2005 .

[5]  James Prescott Joule,et al.  On Some Thermo-Dynamic Properties of Solids , 1859 .

[6]  N. Saintier Fatigue multiaxiale dans un élastomère de type NR chargé: mécanismes d'endommagement et critère local d'amorçage de fissure , 2001 .

[7]  S. Calloch,et al.  Evaluation of the fatigue defect population in an elastomer using X‐ray computed micro‐tomography , 2011 .

[8]  S. Thuillier,et al.  Non-linear mechanical behaviour of carbon black reinforced elastomers: experiments and multiscale modelling , 2008 .

[9]  Georges Cailletaud,et al.  Crack initiation and propagation under multiaxial fatigue in a natural rubber , 2006 .

[10]  Fernand Ellyin,et al.  Multiaxial Fatigue Damage Criterion , 1988 .

[11]  Jean-Louis Chaboche,et al.  ASPECT PHENOMENOLOGIQUE DE LA RUPTURE PAR ENDOMMAGEMENT , 1978 .

[12]  R. Caston,et al.  Equations of state for natural and synthetic rubber-like materials. I. Unaccelerated natural soft rubber , 1942 .

[13]  W. V. Mars,et al.  Multiaxial fatigue of rubber , 2001 .

[14]  J. Marchal,et al.  Cristallisation des caoutchoucs chargés et non chargés sous contrainte : effet sur les chaînes amorphes , 2006 .

[15]  Pierre Gilormini,et al.  Author manuscript, published in "European Polymer Journal (2009) 601-612" A review on the Mullins ’ effect , 2022 .

[16]  K. Dang Van,et al.  Fatigue design of structures under thermomechanical loadings , 2002 .

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

[18]  Christian Miehe,et al.  Superimposed finite elastic–viscoelastic–plastoelastic stress response with damage in filled rubbery polymers. Experiments, modelling and algorithmic implementation , 2000 .

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

[20]  G. Allen,et al.  The physics of rubber elasticity (third edition): L. R. G. Treloar Clarendon Press, Oxford, 1975, pp 310, £14.00 , 1976 .

[21]  S. M. Cadwell,et al.  Dynamic Fatigue Life of Rubber , 1940 .

[22]  D. J. Montgomery,et al.  The physics of rubber elasticity , 1949 .

[23]  Y. Fukahori,et al.  Stress analysis of elastomeric materials at large extensions using the finite element method , 1993, Journal of Materials Science.

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

[25]  Mary C. Boyce,et al.  Constitutive modeling of the large strain time-dependent behavior of elastomers , 1998 .

[26]  Minh Phong Luong,et al.  Infrared thermography of fatigue in metals , 1992, Defense, Security, and Sensing.