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Kırılma, malzemelerin gerilme altında birden fazla parçalara ayrılması olarak tanımlanmaktadır. Kırılma tokluğu ise, çatlaklı bir malzemenin kırılmaya karşı direncini gösteren malzemelerin mekanik özelliklerinden biridir ve 𝐽−integral yöntemi, kırılma tokluğunun geometriden bağımsız ölçümünü veren bir yöntemdir. Bu çalışmada, izotropik özelliklere sahip kenar çatlaklı numune, farklı takviye açılarına sahip 45o merkez çatlaklı ortotropik özellikte dikdörtgen numune ve merkezinde farklı açılarda çatlaklar ihtiva eden izotropik özelliklere sahip kare numune için, 𝐽−integral’i değerleri ANSYS APDL kullanılarak tespit edilmiştir. ANSYS kullanılarak elde edilen sayısal sonuçlar, simgesel bir matematik yazılımı kullanılarak, analitik olarak ta elde edilerek, sayısal ve analitik sonuçlar mukayese edilmiştir. Sonuçta; 𝐽−integralin çatlak ucuna olan uzaklığına göre değişimi incelenmiş olup, sayısal ve analitik sonuçlar arasındaki hata payının % 0.0462 ile % 2.8149 arasında değiştiği tespit edilmiştir.
The breakdown is defined as the division of materials into more than one piece under stretching. The breaking density is one of the mechanical characteristics of the materials that show the resistance of a broken material to breaking, and the J−integral method is a method that gives the geometry independent measurement of the breaking density. In this study, the boundary broken sample with isotropic properties, the 45o central broken ortotropic properties with different complementary angles, and the square sample with isotropic properties with different angles in the center, the J−integral values were identified using ANSYS APDL. Numerical outcomes obtained using ANSYS are compared with numerical and analytical outcomes by using a symbolic mathematical software. Finally, the variation was studied based on the distance to the break-out end of J−integralin, and the error share between numerical and analytical results varied between 0.0462 % and 2.8149 %.
Fracture is defined as breaking of materials under stress and breaking them into more than one part. On the other hand, fracture toughness is one of the mechanical properties of materials showing the resistance of a material that has a crack and the 𝐽−integral method is a method that gives the geometry independent measurement of fracture toughness. In this study, the 𝐽−integral values were determined for a specimen which is a crack in its edge and having isotropic properties, a rectangular specimen which is orthotropic properties in addition to different reinforcement angles and having a 45o crack in its center and a square specimen which is the different cracks in its center and having isotropic properties using ANSYS APDL. Numerical results obtained using ANSYS were also obtained analytically by using a symbolic mathematics software and numerical and analytical results were compared. As a result; The variation of the 𝐽− integral with respect to the distance to the crack tip was investigated and it was found that the error margin between numerical and analytical results varied between 0.0462 % and 2.8149 %.
Alan : Fen Bilimleri ve Matematik; Mühendislik
Dergi Türü : Ulusal
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