Rijit Çembersel Destek Üzerinde Duran İki Katmanlı Enine-İzotrop Slabın Eksenel Simetrik Temas Problemi

Öz

Bu makale, çembersel destek üzerinde duran iki adet enine-izotrop katmanın sürekli temas problemini ele almaktadır. Dış yük, katmanlara bir rijit silindirik blok vasıtasıyla tatbik edilmiştir. Tüm yüzeylerin arasındaki temasın sürtünmesiz olduğu kabul edilmiş ve kütle kuvvetleri hesaba katılmamıştır. Problem, sürekli temas konumundan elde edilen tekil integral denklemler cinsinden formüle edilmiştir. Denklemler Gauss-Chebyshev integrasyon yöntemi ile nümerik olarak çözülmüştür. Bunun dışında, rijit silindirik blok altındaki basınç dağılımlarına ait sayısal sonuçlar birçok farklı malzeme kombinasyonları için verilmiştir.

Anahtar Kelimeler

• Temas problemi, Enine-izotrop malzeme, Rijit silindirik blok,Çembersel destek, Tekil integral denklemi.

AN AXISYMMETRIC CONTACT PROBLEM FOR A BI-LAYERED TRANSVERSELY ISOTROPIC SLAB RESTING ON A RIGID CIRCULAR SUPPORT

Abstract

This paper is concerned with the continuous contact problem of two transversely isotropic layers resting on a circular support. The external load is applied to the layers by a rigid cylindrical block. It is assumed that the contact between all surfaces is frictionless and body forces are not taken into account. The problem is formulated in terms of singular integral equations obtained from the continuous contact position. Equations are solved numerically by using the Gauss-Chebyshev integration method. Furthermore, numerical results as pressure distributions under the rigid cylindrical block are given for different material combinations.

Keywords

• Contact problem, Transversely isotropic material, Rigid cylindrical block, Circular support, Singular integral equation.

Kaynakça

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