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Response of moving load due to irregularity in slightly compressible,finitely deformed elastic media
Institution:1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China;2. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;3. Hebei Key Laboratory of Mechanics of Intelligent Materials and Structures, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;4. College of Engineering, Cleveland State University, Cleveland, OH 44115, United States
Abstract:The present paper has been framed to study the stresses produced on the rough surface of a slightly compressible, finitely deformed half space due to a normal moving load. The surface of the medium is irregular with parabolic type of irregularity. The perturbation method is applied to find the displacement field. The normal and shear stresses have been obtained in closed form and discussed numerically by means of figures. It has been observed that the shear stress developed at different depths below the surface depends on the irregularity depth, frictional coefficient and irregularity factor of the rough surface of the medium. Also, surface plots have been drawn to analyze the combined variation of non-dimensional stresses and irregularity factor against depth.
Keywords:Slightly compressible  Moving load  Irregularity  Anisotropy  Normal stress  Shear stress
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