Vma. Leitao et al., ELASTOPLASTIC SIMULATION OF FATIGUE-CRACK GROWTH - DUAL BOUNDARY-ELEMENT FORMULATION, International journal of fatigue, 17(5), 1995, pp. 353-363
In this paper an algorithm is proposed for the analysis of cracks grow
ing in a stable manner in ductile materials. This algorithm uses a rec
ently presented formulation of the elastoplastic dual boundary element
method (EPDBEM) by Leitao et al., which allows for crack problems to
be modelled within a single-region formulation. The elastoplastic beha
viour is modelled through the use of an approximation for the plastic
component of the strain tenser on the region expected to yield. This r
egion is discretized with internal quadratic, quadrilateral and/or tri
angular cells. This new algorithm for stable crack growth is based on
the release of pairs of elements, which are assumed to be in contact p
rior to the formation of the crack. Crack-face contact is simulated by
directly enforcing compatibility and equilibrium conditions between t
he surfaces of the crack. Elastoplastic fracture parameters, namely J-
type integrals, can be calculated at all stages of the fatigue crack g
rowth process. An example of the application of this technique is pres
ented.