TY - JOUR ID - 40875 TI - Rocking Rotation of a Rigid Disk Embedded in a Transversely Isotropic Half-Space JO - Civil Engineering Infrastructures Journal JA - CEIJ LA - en SN - 2322-2093 AU - Ahmadi, Seyed Farzad AU - Eskandari, Morteza AD - Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Campus, Kish Island, P.O. Box 79417-76655, Kish, Iran Y1 - 2014 PY - 2014 VL - 47 IS - 1 SP - 125 EP - 138 KW - Fredholm Integral Equation KW - Rigid Disk KW - Rocking Stiffness KW - Soil-Structure-Interaction KW - Transversely Isotropic DO - 10.7508/ceij.2014.01.009 N2 - The asymmetric problem of rocking rotation of a circular rigid disk embedded in a finite depth of a transversely isotropic half-space is analytically addressed. The rigid disk is assumed to be in frictionless contact with the elastic half-space. By virtue of appropriate Green's functions, the mixed boundary value problem is written as a dual integral equation. Employing further mathematical techniques, the integral equation is reduced to a well-known Fredholm integral equation of the second kind. The results related to the contact stress distribution across the disk region and the equivalent rocking stiffness of the system are expressed in terms of the solution of the obtained Fredholm  integral  equation. When the rigid disk is located on the surface or at the remote boundary, the exact closed-form solutions are presented. For verification purposes, the limiting case of an isotropic half-space is considered and the results are verified with those available in the literature. The jump behavior in the results at the edge of the rigid disk for the case of an infinitesimal embedment is highlighted analytically for the first time. Selected numerical results are depicted for the contact stress distribution across the disk region, rocking stiffness of the system, normal stress, and displacement components along the radial axis. Moreover, effects of anisotropy on the rocking stiffness factor are discussed in detail. UR - https://ceij.ut.ac.ir/article_40875.html L1 - https://ceij.ut.ac.ir/article_40875_f30c6b2c0c0543cdf1390eebcb0d0a84.pdf ER -