The effect of the multi-axiality of compressive loading on the accuracy of a continuum model for layered materials |
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| Institution: | 1. College of Science and Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu, Shiga, 525-8577, Japan;2. Graduate School of Science and Engineering, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu, Shiga, 525-8577, Japan;1. Department of Naval Architecture and Marine Engineering, Faculty of Transportation Engineering, Ho Chi Minh City University of Technology-VNUHCM, 268 Ly Thuong Kiet St., Dist.10, Ho Chi Minh City, Viet Nam;2. Department of Mechanical Engineering, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro, Tokyo 152-8552, Japan |
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| Abstract: | Two methods of analysis of the internal instability of layered materials are discussed: the continuum approach and the piecewise-homogeneous medium model. Based on the results obtained within the scope of the model of a piecewise-homogeneous medium and the 3-D stability theory, the accuracy of a continuum theory is examined for incompressible non-linear materials undergoing large deformations. Two different loading conditions are compared: biaxial and uniaxial compression. The effect of the multi-axiality of loading on the accuracy of the continuum theory is determined for the particular model of hyperelastic layers described by the Treloar’s potential (i.e. by a neo-Hookean type potential), which is a simplified version of the Mooney’s elastic potential. |
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