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A strain rate dependent yield criterion for isotropic polymers: Low to high rates of loading
Authors:Babak Farrokh  Akhtar S Khan
Institution:1. Institute of Applied Mechanics and Biomedical Engineering, Taiyuan University of Technology, Taiyuan 030024, China;2. Shanxi Key Laboratory of Material Strength and Structural Impact, Taiyuan 030024, China;3. State Key Laboratory of Frozen Soil Engineering, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanzhou, 730000, China;4. Department of Mechanics, Taiyuan University of Technology, Taiyuan 030024, China;1. Department of Plasticity Technology, Shanghai Jiao Tong University, Shanghai 200030, China;2. School of Material Science and Engineering, Northwestern Polytechnical University, Xi''an 710048, China;1. Univ Lille Nord de France, F-59000 Lille, France;2. UVHC, LAMIH, F-59313 Valenciennes, France;3. CNRS, UMR 8201, F-59313 Valenciennes, France;4. TOYOTA MOTOR EUROPE, B-1140 Brussels, Belgium;1. Université Lille Nord de France, F-59000 Lille, France;2. Université Lille 1 Sciences et Technologies, Laboratoire de Mécanique de Lille (LML), UMR CNRS 8107, F-59650 Villeneuve d’Ascq, France;3. Université Mouloud Mammeri, Tizi-Ouzou 15000, Algeria;4. Université Lille 1 Sciences et Technologies, Unité Matériaux Et Transformations (UMET), UMR CNRS 8207, F-59650 Villeneuve d’Ascq, France;1. Arts et Métiers ParisTech, LEM3-UMR 7239 CNRS, Augustin Fresnel 57078 Metz, France;2. Arts et Métiers ParisTech, PIMM – UMR CNRS 8006, 151 Boulevard de L?Hôpital, Paris 75013, France
Abstract:In this study, strain rate sensitivity of yield behavior in a semicrystalline polymer, Nylon 101, was experimentally investigated. A precise definition of yield was established for the polymer by deforming several specimens to certain levels of strain and measuring the residual strains after unloading and strain recovery. The material was then subjected to different loading conditions (uniaxial to multiaxial) at four different quasi-static and intermediate strain rates to determine several points on the material's yield loci. Due to positive strain rate sensitivity of this polymer, the material's yield loci expanded uniformly as the strain rates were increased to higher values. Further, an empirical hydrostatic pressure dependent yield equation (with four material constants) was developed to simulate these behaviors as a function of strain rate. The capability of the developed criterion was examined by simulating high strain rate yield behavior of the material in tension and in compression. The simulation results revealed very good correlations/predictions between the experimental data and the responses determined from the proposed yield criterion.
Keywords:
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