Tilting stiffness of elastic layers bonded between rigid plates |
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| Institution: | 1. Department of Construction Engineering, National Taiwan University of Science and Technology, P.O. Box 90-130, Taipei, Taiwan, China;1. Institute of Space Science, Shandong University, Weihai 264209, China;2. School of Environmental Science and Spatial Informatics, China University of Mining and Technology, Xuzhou 221116, China;3. State Key Laboratory of Geo-information Engineering, Xi’an Research Institute of Surveying and Mapping, Xi’an 710054, China;1. Department of ASE, Indian Institute of Technology Roorkee, India;2. Department of CSE, Sungkyunkwan University, Suwon, Republic of Korea;1. Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA;2. Department of Mathematics and The Program in Applied and Computational Mathematics (PACM), Princeton University, Princeton, NJ 08544, USA |
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| Abstract: | A theoretical approach to determine the tilting stiffness of an elastic layer bonded between rigid plates is presented and then applied to derive the formulae of tilting stiffness for layers of infinite-strip, circular and square shapes. Based on two kinematics assumptions, the governing equations for the mean pressure are established from the equilibrium equations and the bulk modulus equation. Satisfying the stress boundary conditions, the pressure functions are solved and the formulae for tilting stiffness are derived. The tilting stiffnesses calculated from these formulae are extremely close to the results obtained from the finite element method for an extensive range of shape factor and Poissons ratio. |
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