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ÇATLAK İÇEREN ÖNGERİLMELİ ŞERİTTEKİ GERİLME BİRİKİMİ ŞİDDETİ FAKTÖRÜ’NÜN SONLU ELEMANLAR YÖNTEMİ İLE HESAPLANMASINDA SİNGÜLER SONLU ELEMANLARIN ETKİSİ

THE EFFECT OF SINGULER FINITE ELEMENT ON THE STRESS INTENSITY FACTORS CALCULATED WITH THE FINITE ELEMENT METHODS IN A PRE-STRECHED STRIP WITH A CRACK

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Abstract (2. Language): 
In this work, the effect of singular finite elements on the stress intensity factors (SIF) calculated with the Finite Element Methods (FEM) in a pre-stressed strip with a crack is investigated. It is known that in the determination of the SIF by the use of displacements, the singular finite elements should be employed. As a result of this the difficulties arise from the FEM modeling. However, determination of SIF by employing one of the Energy Methods such as Energy Release Rate, the requirement for the use of singular finite elements in the FEM modeling at the around of crack is not precise. So, in this work it is shown that, with a concrete problem as an example, the use of the singular finite elements under calculation of SIF through Energy Release Rate Method is unnecessary.
Abstract (Original Language): 
Bu çalışmada, çatlak içeren öngerilmeli şeritte, Sonlu Elemanlar Yöntemi ile hesaplanan Gerilme Birikimi Şiddeti Faktörüne (SIF) singüler sonlu elemanların etkisi incelenmiştir. Bilindiği üzere, Gerilme Birikimi Şiddeti Faktörünün yerdeğiştirmeler vasıtasıyla belirlenmesinde, singüler sonlu elemanlar kullanılmalıdır. Bunun sonucu olarak, sonlu elemanlar modellemesinden doğan zorluklar artar. Fakat, Enerji Yöntemlerinden biri örneğin Energy Release Rate Yöntemi ile SIF’in belirlenmesinde, singüler sonlu elemanların Sonlu Elemanlar modellemesinde kullanımı zorunluluğu belirgin değildir. Böylece, bu çalışmada, SIF’ün Energy Release Rate metodu ile hesaplanmasında singüler sonlu elemanların kullanılmasının gerekli olmadığı, örnek problem çerçevesinde gösterilmiştir.
FULL TEXT (PDF): 
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