Discontinuous Contact Problem of Elastic Two Layers Loaded With Two Rigid Rectangular Blocks

Authors : Pınar BORA, Talat Şükrü ÖZŞAHİN

Pages : 266-278

Doi:10.29132/ijpas.1038088

View : 16 | Download : 9

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :In this study, unlike the literature, the discontinuous contact problem of two elastic layers resting on a loaded elastic semi-infinite plane with two rigid rectangular blocks is analyzed analytically.P and Q loads are.transferred to the layers through blocks. Sheet weights were included in the problem. When the load value λ applied to the system exceeds the critical load value λcr, discontinuities occur on the contact surfaces. The problem is reduced to a singular integral equation using Fourier integral transform techniques in case of discontinuous contact. Singular integral equation is solve using Gauss-Chebyshev integral formulation. These discontinuities have been examined for the change in distance between blocks, block widths and changes in load ratios. Moreover, the swelling rates occurring during the separations are presented in graphics. In addition, the results obtained have been solved and compared with the help of ANSYS package program using the Finite Element Method.
Keywords : Süreksiz temas, elastisite, Sonlu Elemanlar Analizi, integral denklemler