PSI - Issue 21

Amir H. Benvidi et al. / Procedia Structural Integrity 21 (2019) 12–20 Author name / Structural Integrity Procedia 00 (2019) 000 – 000

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5. Conclusions The purpose of this study was to investigate the rupture of rubbers containing a rounded V-shaped notch using average strain energy density criterion. EPDM rubber samples were loaded under the mode-I loading conditions. Moreover, due to the nonlinear nature of rubber materials, the use of existing relationships to determine the parameters of this criterion, such as critical radius ( ) and critical strain energy density ( ), was not possible. However, the uniaxial nature of stress field near the notch tip of hyperelastic materials could help us to obtain these values in tested rubber. In fact, the rupture energy of the dumbbell shaped specimen was considered to be equal to the critical strain energy density of the notched specimens. By determining the values of and , the critical displacement of notched samples was predicted. The results of this study revealed an appropriate match between experimental and numerical data. Thus, the ASED criterion could precisely predict the rupture of rounded-tip V-notched components made of rubbers. Reference Ayatollahi, M.R., Heydari-Meybodi, M., Dehghany, M., Berto, F., 2016. A New Criterion for Rupture Assessment of Rubber-Like Materials under Mode-I Crack Loading: The Effective Stretch Criterion. Advanced Engineering Materials 18, 1-7. Berto, F., 2015. A criterion based on the local strain energy density for the fracture assessment of cracked and V notched components made of incompressible hyperelastic materials. Theoretical and Applied Fracture Mechanics 76, 17-26. Berto, F., Lazzarin, P., 2009. A review of the volume-based strain energy density approach applied to V-notches and welded structures. Theoretical and Applied Fracture Mechanics 52, 183-194. Cheng C.Z., Yao S.L., Sun J.L., Niu Z.R., 2016 Singularity characteristic analysis for a V-notch in angularly heterogeneous moderately thick plate. International Journal of Mechanical Sciences115-116:215-25. Erman, B., Mark, J.E., Roland, C.M., 2013a. Rubber elasticity: Basic concepts and behavior, In: The science and technology of rubber. Academic Press, Boston, pp. 1-26. Erman, B., Mark, J.E., Roland, C.M., 2013b. The science of rubber compounding, In: The science and technology of rubber. Academic Press, Boston, pp. 417-472. Hamdi, A., Hocine, N.A., Abdelaziz, M.N., Benseddiq, N., 2007. Fracture of elastomers under static mixed mode: the strain-energy-density factor. Journal of Fracture 144, 65-75. Hamdi A., Mahjoubi H., 2015 Design criterion for rubbery parts under biaxial loading. Theoretical and Applied Fracture Mechanics 78:51-5. Heydari-Meybodi, M., Ayatollahi, M.R., Berto, F., 2017a. Mixed-mode (I/II) rupture assessment of rubber-like materials weakened by cracks using the averaged strain energy density criterion. Theoretical and Applied Fracture Mechanics. Heydari-Meybodi, M., Ayatollahi, M.R., Bertob, F., 2018. Averaged strain energy density criterion for rupture assessment of cracked rubbers: A novel method for determination of critical SED. Theoretical and Applied Fracture Mechanics 190, 93-103. Heydari-Meybodi, M., Ayatollahi, M.R., Dehghany, M., Berto, F., 2017b. Mixed-mode (I/II) failure assessment of rubber materials using the effective stretch criterion. Theoretical and Applied Fracture Mechanics 91, 126-133. Hocine, N.A., Abdelaziz, M.N., Imad, A., 2002. Fracture problems of rubbers: J- integral estimation based upon η factors and an investigation on the strain energy density distribution as a local criterion. International Journal of Fracture 117, 1-23. Hocine, N.A., Abdelaziz, M.N., Imad, A., 2003. Fracture problems of rubbers: J- integral estimation based upon η factors and an investigation on the strain energy density distribution as a local criterion. International Journal of Fracture 117, 1-23. Lazzarin, P., Berto, F., 2005. Some expressions for the strain energy in a finite volume surrounding the root of blunt V-notches. International Journal of Fracture 135, 161-185. Lazzarin, P., Zambardi, R., 2001. A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches. International Journal of Fracture 112, 275-298.

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