TEMAS PROBLEMLERİNDE SONLU ELEMANLAR YÖNTEMİNİN DOĞRULUĞUNUN İNCELENMESİ

Bu çalışmada, ANSYS ve ABAQUS yazılımları kullanılarak rijit bir panç ile bir elastik yarım düzlem üzerine bağlanmış birbirine bağlı iki tabakanın simetrik temas problemi dikkate alındı. Tabakalar farklı elastik sabit ve yüksekliklere sahiptir. Dış yük üst elastik tabakaya rijit bir panç vasıtasıyla uygulandı. Bu problem iki elastik tabaka arasında ve rijit panç arasındaki temasın sürtünmesiz olduğu ve yerçekimi kuvvetinin etkisinin ihmal edildiği varsayımıyla çözüldü. Sayısal uygulamalar sonlu eleman yöntemine dayanan ANSYS ve ABAQUS yazılımları ile çözüldü. Temas uzunlukları ve temas gerilmeleri farklı yük, malzeme ve geometri parametrelerine göre elde edildi ve sonuçlar tablo ve grafikler halinde verildi. Bu sonuçlar literatürdeki (Adıbelli, 2010) ilgili temas probleminin analitik sonuçlarıyla karşılaştırılarak doğrulandı.

Anahtar Kelimeler:

Temas Mekaniği, Temas Mesafeleri, Temas Gerilmeleri, Sonlu Elemanlar Yöntemi.

INVESTIGATION OF THE ACCURACY OF FINITE ELEMENTS METHOD IN CONTACT PROBLEMS

In this study, the symmetrical contact problem of two bonded layers resting on an elastic half plane with a rigid punch had been considered according to Finite Element Method using ANSYS and ABAQUS software. These elastic layers have different elastic constants and heights. The external load had been applied to the upper elastic layer by means of a rigid stamp. This problem had been solved under the assumptions that the contact between two elastic layers, and between the rigid stamp are frictionless, the effect of gravity force had been neglected. Numerical practices had been performed by ANSYS and ABAQUS software based on FEM. The contact length and contact stress had been obtained according to different parameters of load, material and geometry and results had been presented in tables and graphics. These results had been confirmed by comparing the analytical results of the related contact problem in the literature.

Keywords:

Contact Mechanics, Contact Length, Contact Stress, Finite Element Method,

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