An analytical procedure to determine constitutive coefficients of a mixture of two linear elastic solids |
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| Affiliation: | 1. Kanazawa University, Institute of Science and Engineering, Kakuma-machi, Kanazawa, Ishikawa 920-1192 JAPAN;2. Honda R&D Co., Ltd., Automobile R&D Center 4630 Shimotakanezawa, Haga-machi, Haga-gun, Tochigi, 321-3393 JAPAN;2. The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405, United States;3. Center for Safety Measurement, Korea Research Institute of Standards and Science, Daejeon 34113, Republic of Korea;4. Institute of Advanced Machines and Design, Seoul National University, Seoul 08826, Republic of Korea;5. OnePredict Inc., Seoul 08826, Republic of Korea |
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| Abstract: | ![]()
In this paper, we study the coefficients of constitutive equations of a binary mixture of elastic solids and give an analytical approach to determine them. Assuming a material of two-phase elastic composite with randomly distributed elastic spheres is equivalent to a mixture of two elastic solids, we find the values of unknown coefficients by making use of Boussinesq problem. Furthermore, a mean displacement vector definition is also given. |
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