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      Fatigue Life Assessment of Filled Rubber by Hysteresis Induced Self-Heating Temperature

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          Abstract

          As a viscohyperelastic material, filled rubber is widely used as a damping element in mechanical engineering and vehicle engineering. Academic and industrial researchers commonly need to evaluate the fatigue life of these rubber components under cyclic load, quickly and efficiently. The currently used method for fatigue life evaluation is based on the S–N curve, which requires very long and costly fatigue tests. In this paper, fatigue-to-failure experiments were conducted using an hourglass rubber specimen; during testing, the surface temperature of the specimen was measured with a thermal imaging camera. Due to the hysteresis loss during cyclic deformation, the temperature of the material was found to first rise and then level off to a steady state temperature, and then it rose sharply again as failure approached. The S–N curve in the traditional sense was experimentally determined using the maximum principal strain as the fatigue parameter, and a relationship between the steady state temperature increase and the maximum principal strain was then established. Consequently, the steady state temperature increase was connected with the fatigue life. A couple of thousand cycles was sufficient for the temperature to reach its steady state value during fatigue testing, which was less than one tenth of the fatigue life, so the fatigue life of the rubber component could be efficiently assessed by the steady state temperature increase.

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          Most cited references23

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          A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials

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            Thermographic methodology for rapid determination of the fatigue limit of materials and mechanical components

            G La Rosa (2000)
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              Large Deformation Isotropic Elasticity—On the Correlation of Theory and Experiment for Incompressible Rubberlike Solids

              Many attempts have been made to reproduce theoretically the stress-strain curves obtained from experiments on the isothermal deformation of highly elastic ‘rubberlike’ materials. The existence of a strain-energy function has usually been postulated, and the simplifications appropriate to the assumptions of isotropy and incompressibility have been exploited. However, the usual practice of writing the strain energy as a function of two independent strain invariants has, in general, the effect of complicating the associated mathematical analysis (this is particularly evident in relation to the calculation of instantaneous moduli of elasticity) and, consequently, the basic elegance and simplicity of isotropic elasticity is sacrificed. Furthermore, recently proposed special forms of the strain-energy function are rather complicated functions of two invariants. The purpose of this paper is, while making full use of the inherent simplicity of isotropic elasticity, to construct a strain-energy function which: (i) provides an adequate representation of the mechanical response of rubberlike solids, and (ii) is simple enough to be amenable to mathematical analysis. A strain-energy function which is a linear combination of strain invariants defined by ϕ(α)=(α1α+α2α+α3α)/α is proposed; and the principal stretches α1, α2, and α3 are used as independent variables subject to the incompressibility constraint α1α2α3=1. Principal axes techniques are used where appropriate. An excellent agreement between this theory and the experimental data from simple tension, pure shear and equibiaxial tension tests is demonstrated. It is also shown that the present theory has certain repercussions in respect of the constitutive inequality proposed by Hill.

                Author and article information

                Journal
                Polymers (Basel)
                Polymers (Basel)
                polymers
                Polymers
                MDPI
                2073-4360
                07 April 2020
                April 2020
                : 12
                : 4
                : 846
                Affiliations
                [1 ]Hunan Key Laboratory of Geomechanics and Engineering Safety, Xiangtan University, Xiangtan 411105, China
                [2 ]College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105, China; byhyj@ 12345621cn.com (Y.H.); jiangxia127@ 123456163.com (X.J.)
                [3 ]Zhuzhou Times New Materials Technology Co. Ltd., Zhuzhou 412001, China
                [4 ]School of Civil Engineering, Hunan University of Science and Technology, Xiangtan 411201, China; yinboyuanxtu@ 123456163.com
                Author notes
                [* ]Correspondence: luowenbo@ 123456xtu.edu.cn (W.L.); huxiaoling@ 123456xtu.edu.cn (X.H.); Tel.: +86-731-58298659 (W.L.); +86-731-58293084 (X.H.)
                Author information
                https://orcid.org/0000-0002-3528-2111
                https://orcid.org/0000-0002-5932-7468
                Article
                polymers-12-00846
                10.3390/polym12040846
                7240466
                32272605
                9c4c0f9d-8e1b-464d-938b-f8182dc60865
                © 2020 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                : 18 February 2020
                : 05 April 2020
                Categories
                Article

                fatigue life,filled rubber,hysteresis loss,temperature increase,s–n curve

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