TRANSIENT CRACK PROPAGATION USING BOUNDARY ELEMENTS

Abstract eng:
The aim of this paper is to present a procedure to simulate crack propagation in elastic twodimensional media. The analysis is carried out in the time domain and the Transient Stress Intensity Factor (TSIF) is calculated in the propagating crack tip. For the time being the crack path and velocity are known but they do not have to be constants along the time. However the procedure is powerful enough to consider the general case, and the corresponding algorithms are under development. The problem is modeled by the direct Mixed Boundary Element Method (MBEM), which combines the use of singular and hypersingular Boundary Integral Equations. This procedure is specially well suited for this problem, since the remeshing after crack propagation is reduced to a minimum, that is, the incorporation of a new element at the crack tip. The boundary is discretized using isoparametric quadratic elements, while in the time interval, step and linear wise interpolation functions are employed. The crack tip transient asymptotic behavior is modeled using several alternative elements: quarter-point elements and centered elements with special shape functions. Besides the geometry and shape functions, different alternatives exist regarding to the collocation point. The results using different options are compared against analytic solutions and the best alternatives are tested with numerical results obtained by different authors.

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