Heterojen Sürtünme Katsayılı Kayma Temas Problemleri için bir Sonlu Elemanlar Çözümü

Yatay eksende değişkenlik gösteren sürtünme katsayısının var olduğu kayma temas problemleri için yeni bir sonlu elemanlar yöntemi geliştirilmiştir. Problem için “Augmented Lagrange” yöntemi temel temas problemi çözücüsü olarak seçilmiş ve modellemeler APDL (ANSYS Parametrik Tasarım Dili) ortamında yapılmıştır. Temas ara-yüzeyinin birçok temas çiftine bölünmesiyle kaymalı temas için gerekli olan sürtünme kuvveti, geliştirilen yinelemeli bir algoritma ile hesaplanmıştır. Durum incelemesi olarak bir rijit düz zımba ile enine derecelendirilmiş ortotropik yarı-düzlem arasındaki heterojen-sürtünmeli kayma temas problemi düzlem gerinimi varsayımı ile ele alınmıştır. Bu çalışmada ortaya konulan prosedürün güvenilirliği ve geçerliliği, sonuçlarının literatürde var olan (Tekil integral denklemleri kullanılarak izotropik malzemeler için elde edilmiş) sonuçlarla karşılaştırılarak ispatlanmıştır. Yanı sıra bu çalışmada çeşitli problem parametrelerinin temas gerilmeleri ve sürtünme kuvveti üzerine olan etkileri gösterilmiştir. Bu çalışma ileri seviye bir temas probleminin çözümü için kolay uygulanabilir yeni bir sayısal yöntem ortaya koymaktadır. Elde edilen sonuçlar analitik ve deneysel çalışmaların yorumlanması ve doğrulanmasında kullanılabilecektir.

A Finite Element Procedure for Sliding Contact Problems Involving Heterogeneous Coefficient of Friction

A new finite element procedure is developed for the analysis of sliding contact problems involving spatially varying coefficient offriction. The problem is implemented using APDL (ANSYS Parametric Design Language) considering the Augmented Lagrangemethod as the contact solver. Upon discretization of the contact interface into multiple contact pairs, a sequence of steps is followedto evaluate the resultant friction force required for the sliding contact. As a case study, heterogeneous-friction contact problembetween an orthotropic laterally graded half-plane and a rigid flat stamp is investigated under plane strain assumption. The proposediterative procedure is proved reliable by comparing the results to those generated by a SIE (Singular Integral Equation) approachfor isotropic laterally graded half-planes. Extra results are presented to reveal the effects of problem parameters on the contactstresses and the friction force. The paper outlines a convenient numerical solution for an advance sliding contact problem, and theresults can be used in validation purposes of experimental and analytical studies.

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