A dimensional decomposition method for stochastic fracture mechanics

• Published in: Engineering fracture mechanics Vol. 73; no. 15; pp. 2093 - 2109
• Main Author: Rahman, Sharif
• Format: Journal Article
• Language: English
• Published: Tarrytown, NY Elsevier Ltd 01.10.2006; Oxford Elsevier
• Subjects: Bivariate decomposition; Decomposition method; Exact sciences and technology; Fracture mechanics (crack, fatigue, damage...); Fundamental areas of phenomenology (including applications); Physics; Probability density of J-integral; Probability of fracture initiation; Solid mechanics; Static elasticity (thermoelasticity...); Structural and continuum mechanics; Univariate decomposition; Probability of fracture initiation; Probability density of J-integral; Univariate decomposition; Bivariate decomposition; Decomposition method; Method of characteristics; J integral; Monte Carlo method; Probabilistic approach; Rupture; Modeling; Probability density; Lagrange interpolation; Random load; Non linear effect; Reliability; Random medium; Deterministic approach; Crack initiation; Structural analysis; Crack
• ISSN: 0013-7944; 1873-7315
• DOI: 10.1016/j.engfracmech.2006.04.010

This paper presents a new dimensional decomposition method for obtaining probabilistic characteristics of crack-driving forces and reliability analysis of general cracked structures subject to random loads, material properties, and crack geometry. The method involves a novel function decomposition p...