Section 184.108.40.206. Cracked Element Methods
This approach involves the use of a hybrid-cracked element that
is incorporated into a finite-element structural analysis program. To date, only two dimensional crack problems
can be solved with the cracked-element approach. Elements have been developed [Byskov, 1970; Tracey, 1971; Walsh,
1971; Gallagher, 1978; Jordon, et al., 1973; Atluri, et al., 1974; Hellen,
1979] that allow a stress singularity to occur at the crack tip.
The cracked element consists of boundary nodal points around
the geometrical boundary of the element.
The element is either contained within the complete finite-element model
or is solved separately using the results of finite-element analysis. In either case, the crack surface is
simulated by unzipping a double-noded line along the line of expected crack
extension. This builds into the
structural model the proper stiffness due to the presence of the crack. The variation of stress-intensity factors (K1
and K2) with crack length is determined by progressively
unzipping the sets of coupled nodes.
Studies have been conducted on the variation of
stress-intensity factors with cracked-element size and location [Jordon, et
al., 1973; Atluri, et al., 1974]. These
results define some definite guidelines in using cracked-element models. First, the distance from the crack tip to
the cracked-element nodal points should be as constant as possible. Secondly, for long edge-cracks or cracks
emanating from holes, the cracked element should only contain an area very near
the crack tip.