Deviations from Miner's linear law of cumulative damage have been modelled and observed many times for the fatigue of metals, but almost no analogous studies have been performed for elastomers. Such a study is reported here.
A simple phenomenological model, applicable to any type of material and able to quantitatively reproduce such deviations, is presented first. This model is based on continuum damage mechanics. It relates the fatigue damage of the material to the number of cycles through some suitable evolution law, in which the derivative of damage is expressed as a non-factorizable function of the instantaneous load cycle and the damage itself.
Fatigue experiments performed on “diabolo” specimens made of two different elastomeric materials and subjected to two successive cyclic loads of different amplitudes are then reported. Significant deviations from Miner's rule are observed: Miner's “total cumulated damage” may be lower or larger than unity by a small or large amount, depending on the sequence of loadings and the type of material. As a rule, the deviation from Miner's rule systematically changes sign upon reversal of the sequence of loadings. The model is shown to allow an acceptable reproduction of the experimental results, and especially of this systematic change of sign.
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@article{CRMECA_2014__342_8_450_0,
author = {Audrey Jardin and Jean-Baptiste Leblond and Daniel Berghezan and Maude Portigliatti},
title = {Theoretical modelling and experimental study of the fatigue of elastomers under cyclic loadings of variable amplitude},
journal = {Comptes Rendus. M\'ecanique},
pages = {450--458},
publisher = {Elsevier},
volume = {342},
number = {8},
year = {2014},
doi = {10.1016/j.crme.2014.04.002},
language = {en},
}
TY - JOUR AU - Audrey Jardin AU - Jean-Baptiste Leblond AU - Daniel Berghezan AU - Maude Portigliatti TI - Theoretical modelling and experimental study of the fatigue of elastomers under cyclic loadings of variable amplitude JO - Comptes Rendus. Mécanique PY - 2014 SP - 450 EP - 458 VL - 342 IS - 8 PB - Elsevier DO - 10.1016/j.crme.2014.04.002 LA - en ID - CRMECA_2014__342_8_450_0 ER -
%0 Journal Article %A Audrey Jardin %A Jean-Baptiste Leblond %A Daniel Berghezan %A Maude Portigliatti %T Theoretical modelling and experimental study of the fatigue of elastomers under cyclic loadings of variable amplitude %J Comptes Rendus. Mécanique %D 2014 %P 450-458 %V 342 %N 8 %I Elsevier %R 10.1016/j.crme.2014.04.002 %G en %F CRMECA_2014__342_8_450_0
Audrey Jardin; Jean-Baptiste Leblond; Daniel Berghezan; Maude Portigliatti. Theoretical modelling and experimental study of the fatigue of elastomers under cyclic loadings of variable amplitude. Comptes Rendus. Mécanique, Volume 342 (2014) no. 8, pp. 450-458. doi : 10.1016/j.crme.2014.04.002. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.04.002/
[1] A literature survey on fatigue analysis approaches for rubber, Int. J. Fatigue, Volume 24 (2002), pp. 949-961
[2] Dynamic fatigue life of rubber, Rubber Chem. Technol., Volume 13 (1940), pp. 304-315
[3] On the heuristic extension of Haigh's diagram for the fatigue of elastomers to arbitrary loadings, Int. J. Fatigue, Volume 31 (2009), pp. 859-867
[4] Cumulative damage in fatigue, J. Appl. Mech., Volume 67 (1945), p. A159-A164
[5] A non-linear continuous fatigue damage model, Fatigue Fract. Eng. Mater. Struct., Volume 11 (1988), pp. 1-17
[6] Mécanique des matériaux solides, Dunod, 1996
[7] Cumulative fatigue damage and life prediction theories: a survey of the state-of-the-art for homogeneous materials, Int. J. Fatigue, Volume 20 (1998), pp. 9-34
[8] A concept of fatigue damage, Trans. Am. Soc. Mech. Eng., Volume 76 (1954), pp. 627-632
[9] Interfaces between fatigue, creep, and fracture, Int. J. Fract. Mech., Volume 2 (1966), pp. 328-363
[10] Cumulative fatigue damage under stress-controlled conditions, J. Basic Eng., Volume 93 (1971), pp. 691-698
[11] A cumulative damage rule based on the knee point of the SN curve, J. Eng. Mater. Technol., Volume 98 (1976), pp. 316-321
[12] Damage and fatigue: continuum damage mechanics modeling for fatigue of materials and structures, Rev. Eur. Génie Civ., Volume 10 (2006), pp. 849-877
[13] Modélisation numérique du comportement en fatigue des élastomères chargés de noir de carbone, Université Pierre-et-Marie-Curie (Paris-6), 2006 (Ph.D. thesis)
[14] Continuum damage mechanics and life-fraction rule, J. Appl. Mech., Volume 73 (2006), pp. 702-704
[15] Introduction to fatigue analysis in mechanical design by the multiscale approach (K. Dang Van; I.V. Papadopoulos, eds.), High Cycle Metal Fatigue, From Theory to Applications, CISM Courses and Lectures, vol. 392, Springer-Verlag, 1999, pp. 57-88
[16] Cumul des dommages (C. Bathias; A. Pineau, eds.), La fatigue des matériaux et des structures, vol. IV, Hermès, Paris, 2009 (Chapter 8)
[17] Modélisation et simulation numérique de la fatigue des élastomères soumis à des chargements cycliques complexes, Université Pierre-et-Marie-Curie (Paris-6), 2009 (Ph.D. thesis)
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