Stress–Strain State and Stress Intensity Factor in the Vicinity of Crack–Like Defects under Biaxial Tension of a Plate
A. A. Ostsemin1, P. B. Utkin2
1Russian Presidential Academy of National Economy and Public Administration, Chelyabinsk, 454077 Russia
2South Ural State University, Chelyabinsk, 454080 Russia
Keywords: fracture mechanics, stress intensity factors, stress state, the Kolosov—Muskhelishvili method, a plate with an elliptic hole, holographic interferometry method
Abstract
The problem of determining a stress-strain state described by singular and regular terms and a stress intensity factor in the vicinity of the top of a crack–like defect in a plate under biaxial loading is considered. The Kolosov—Muskhelishvili method was used to obtain expressions for the stress tensor near the top of the ellipse, which yield the formulas for stresses in the case of blunt cracks. Maximum shear stress, principal stresses, and stress intensity are determined. Formulas for the stress intensity factor under biaxial loading of a plate with a crack–like defect are obtained and can be used in the holographic interferometry method.
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