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

Year 2022, Volume: 8 Issue: 2, 266 - 278, 31.12.2022

Pınar Bora Talat Şükrü Özşahin

https://doi.org/10.29132/ijpas.1038088

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

Discontinuous Contact, Elasticity, Integral Equations, Finite Element Analysis

İki Rijit Dikdörtgen Blok ile Yüklenen Elastik İki Tabakanın Süreksiz Temas Problemi

Abstract

Keywords

Süreksiz temas, elastisite, Sonlu Elemanlar Analizi, integral denklemler

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