Constitutive relations for two-phase particulate materials with elastic binder |
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Authors: | H Zhu J W Rish III W C Dass |
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Institution: | a Civil and Environmental Engineering Department, Arizona State University, Tempe AZ 85287, U.S.A. b Wright Laboratory, WL/FIVC, Tyndall Air Force Base, FL 32403, U.S.A. c Applied Research Associates Inc., Tyndall Air Force Base, FL 32403, U.S.A. |
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Abstract: | Constitutive relationships for two-phase (particles and the binder) materials can be evaluated by many methods. In this article, we develop a method in which binder-contact laws and the basic cell technique are employed in formulation of stress-strain equations. The particles are hexagonally arrayed, and the binder and particles behave elastically. The on-axis stiffness matrix is derived first, followed by the off-axis one. An integral representation of a statistically averaged stiffness matrix is also presented. This article shows a favorable stiffness comparison between the current results and those of Chang, C. S. and Misra, A., Theoretical and Experimental Study of Regular Packings of Granules. Journal of Engineering Mechanics, ASCE, 1989, 115, 705–710. |
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