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Three-dimensional analytical elasticity solution for loaded functionally graded coated half-space
Affiliation:1. College of Civil Engineering, Hebei University of Engineering, Handan 056038, PR China;2. Department of Civil Engineering, The University of Akron, OH 44325-3905, USA;1. Institute of Soft Matter Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, China;2. Department of Engineering Mechanics, SVL, Xi’an Jiaotong University, Xi’an 710049, China;1. Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine, 3-B Naukova St., 79060 Lviv, Ukraine;2. Department of Mechanical Engineering, National Taiwan University, No. 1 Roosevelt Rd. Sec. 4, 10617 Taipei, Taiwan, ROC;1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, PR China;2. Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany;1. Department of Mechanical Engineering, Hakim Sabzevari University, Sabzevar, Iran;2. Department of Mechanical Engineering, TOBB University of Economics and Technology, Ankara, 06560, Turkey
Abstract:In the present paper, a three-dimensional problem of elasticity of normal and tangential loading of surface of the functionally graded coated half-space is considered. In case when Poisson's ratio is constant and the Young's modulus is a power or exponential function of the distance from the surface of the half-space, analytical solution using Fourier transform is obtained. Stress field due to Hertz contact pressure in an elliptical region are studied as a function of the parameter b/a (where a and b are axes of the contact ellipse) and coating thickness.
Keywords:Three-dimensional problem of elasticity  Gradient coating  Normal and tangential loading  Fourier transform
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