Abstract
A first-order finite element reliability method is used to predict the probability of brittle fracture in a continuum with uncertain crack geometry. The limit-state function is expressed in terms of the J-integral, and a finite element formulation is developed and implemented to calculate the J-integral and its gradient with respect to variables defining the crack geometry. In the neighborhood of the crack, an active finite element mesh is used as a function of the crack geometry. Plastic deformation at the crack’s front is accounted for by an incremental elasto-plastic finite element procedure. The proposed method is demonstrated through an example.
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© 1994 Springer-Verlag, Berlin Heidelberg
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Zhang, Y., Der Kiureghian, A. (1994). Reliability Against Fracture with Uncertain Crack Geometry. In: Spanos, P.D., Wu, YT. (eds) Probabilistic Structural Mechanics: Advances in Structural Reliability Methods. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85092-9_38
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DOI: https://doi.org/10.1007/978-3-642-85092-9_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-85094-3
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