Estimating the survivability of a stretched plate with a transverse semielliptical crack
Authors: Pokrovsky A.M., Chermoshentseva A.S. | Published: 24.03.2014 |
Published in issue: #3(648)/2014 | |
Category: Calculation and Design of Machinery | |
Keywords: fracture mechanics, cyclic tension stresses, survivability, durability, semi-elliptical crack, stress intensity factor, Paris equation, Irwin criterion, crack growth rate. |
Most laminate parts are exposed to cyclic loads; therefore, estimating their survivability is of great importance. This paper presents the results of numerical analysis of survivability of a plate with initial cracks of various dimensions. A technique for forecasting the durability of a mild steel plate with a transverse semielliptical crack under cyclic tension is developed under the assumptions of the linear fracture mechanics. This design scheme describes a significant number of real objects. The durability is determined by solving the problem of survivability within a deterministic framework. The crack growth rate is calculated using the Paris equation. The Irwin criterion is used to predict failure. The scope of the stress intensity factor at the crack front is determined by approximate relationships. The results of numerical analysis of survivability of a plate with different crack sizes are presented. The mechanisms of crack growth are established for various depth-to-length ratios. It is shown that the plate durability decreases with an increase in the crack length if the initial crack depth does not change, and the rate of increase is slowing down as the crack length increases. Since this subject has not been adequately elucidated in the scientific literature, the presented material will be useful for professionals in the field of fracture mechanics and survivability.
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