Investigation of the Frictionless Contact Problem in A Rigidly Supported Homogeneous Layer by Using FEM

Year 2019, Volume: 9 Issue: 4, 797 - 807, 15.10.2019

Alper Polat

https://doi.org/10.17714/gumusfenbil.569047

Abstract

In this study, the continuous contact problem of a homogeneous layer of
constant thickness perfectly bonded to a rigid support on its bottom surface
and loaded a rigid stamp is investigated using the finite element method (FEM).
It is assumed that the all contact surfaces are frictionless. The homogenous layer is loaded by rigid circular
stamp with external load P. Two-dimensional finite element analysis of the
problem is performed using ANSYS software. Also, normal stresses and shear
stresses are investigated along the depth of the layer for different shear
modulus ratios. Besides, contact length and contact stress between rigid block
and homogenous layer are determined. The obtained results are compared to
analytical solution and they are shown in graphs and tables.

Keywords

Contact problem, Finite element method, Homogenous layer, Rigid stamp

Rijit Olarak Mesnetlenmiş Homojen Tabakada Sürtünmesiz Temas Probleminin Sonlu Elemanlar Metodu ile İncelenmesi

Abstract

Bu çalışmada, alt yüzeyinden rijit olarak mesnetlenmiş
ve rijit bir dairesel blok ile yüklenmiş sabit yükseklikli bir homojen tabakada
sürekli temas problemi sonlu elemanlar yöntemi kullanılarak incelenmiştir.
Bütün yüzeylerin sürtünmesiz olduğu kabul edilmiştir. Homojen tabaka, dış yükü
P olan bir rijit dairesel blok vasıtasıyla yüklenmiştir. Problemin iki boyutlu
sonlu elemanlar analizi ANSYS yazılımı kullanılarak gerçekleştirilmiştir. Ayrıca
farklı yükleme durumları için tabakanın derinliği boyunca normal gerilmeler ve
kayma gerilmeleri incelenmiştir. Bunun yanı sıra  rijit blok ile homojen tabaka arasındaki temas
mesafeleri ve temas gerilmeleri belirlenmiştir. Elde edilen sonuçlar analitik
sonuçlarla kıyaslanarak grafik ve tablo halinde gösterilmiştir.

Keywords

Temas problemi, Sonlu elemanlar yöntemi, Homojen tabaka, Rijit zımba

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