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Probabilistic modelling of safe crack growth and estimation of the durability of structures
Author(s) -
Lepikhin,
Makhutov,
Moskvichev,
С. В. Доронин
Publication year - 2000
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1046/j.1460-2695.2000.00303.x
Subject(s) - weibull distribution , durability , probabilistic logic , monte carlo method , statistical model , structural engineering , basis (linear algebra) , macro , fracture mechanics , materials science , engineering , computer science , mathematics , statistics , geometry , composite material , programming language
Probabilistic models of crack growth are considered at the macro‐level of material deformation. These probabilistic models have parameters that can be determined from a fracture mechanics approach. Results from statistical analyses of defects in welded joints show that it is possible to use a two‐parameter Weibull distribution as a basic model for the distribution of defect size. On the basis of a Monte Carlo numerical simulation of crack growth, one can construct complete probabilistic diagrams for structural integrity. These diagrams are the basis for designing structures containing defects.