Jp. Zhao et al., THE APPLICATIONS OF 2D ELASTOPLASTIC STOCHASTIC FINITE-ELEMENT METHODIN THE FIELD OF FRACTURE-MECHANICS, International journal of pressure vessels and piping, 75(4), 1998, pp. 281-286
In this paper the stochastic finite element method (SFEM) is applied t
o the field of fracture mechanics and cracked structures are analysed
by using an elasto-plastic methodology. The main random variables cons
idered are Young's modulus, Poisson's ratio and the crack size. The fo
rmulae of the mean and variance value of the J-integral for elasto-pla
stic deformation are discussed and an effective method for the probabi
listic safety assessment of cracked structures is given. Some elasto-p
lastic problems are solved by this method, and numerical examples demo
nstrate that this method is appropriate for engineering problems and t
hat the related computer program developed in this paper has sufficien
t precision. (C) 1998 Elsevier Science Ltd. All rights reserved.