Mixed mode fracture initiation and trajectory prediction under random stresses

M. Grigoriu; M. T.A. Saif; S. El Borgi; A. R. Ingraffea

doi:10.1007/BF00012607

Mixed mode fracture initiation and trajectory prediction under random stresses

M. Grigoriu^*, M. T.A. Saif, S. El Borgi, A. R. Ingraffea

^*Corresponding author for this work

Cornell University

Research output: Contribution to journal › Article › peer-review

37 Citations (Scopus)

Abstract

A method is developed for estimating (i) confidence intervals on the initial direction of crack extension and (ii) the probability of crack initiation in plane stress and plane strain problems. The method accounts for the uncertainty in applied stresses, fracture toughness, and crack geometry. It is based on classical theories of linear fracture mechanics for homogeneous isotropic materials, a computer code for deterministic fracture mechanics analysis (FRANC) and first and second order structural reliability algorithms (FORM/SORM). Several examples are presented to demonstrate the use and generality of the proposed method for probabilistic fracture mechanics analysis.

Original language	English
Pages (from-to)	19-34
Number of pages	16
Journal	International Journal of Fracture
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/BF00012607
Publication status	Published - Sept 1990
Externally published	Yes

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AB - A method is developed for estimating (i) confidence intervals on the initial direction of crack extension and (ii) the probability of crack initiation in plane stress and plane strain problems. The method accounts for the uncertainty in applied stresses, fracture toughness, and crack geometry. It is based on classical theories of linear fracture mechanics for homogeneous isotropic materials, a computer code for deterministic fracture mechanics analysis (FRANC) and first and second order structural reliability algorithms (FORM/SORM). Several examples are presented to demonstrate the use and generality of the proposed method for probabilistic fracture mechanics analysis.

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Mixed mode fracture initiation and trajectory prediction under random stresses

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