Ss. Pageau et Sb. Biggers, FINITE-ELEMENT EVALUATION OF FREE-EDGE SINGULAR STRESS-FIELDS IN ANISOTROPIC MATERIALS, International journal for numerical methods in engineering, 38(13), 1995, pp. 2225-2239
A finite element formulation based on the work of Yamada and Okumura(1
4) is presented to determine the order of singularity and angular vari
ation of the stress and displacement fields surrounding a singular poi
nt on a free edge of anisotropic materials. Emphasis is placed on the
computational aspects of this method when applied to configurations in
cluding fully bonded multi-material junctions intersecting a free edge
as well as materials containing cracks intersecting a free edge. The
study shows that the singularity of the three-dimensional stress field
may be accurately determined with a relatively small number of elemen
ts only when a proper level of numerical integration is used. The meth
od is applied to isotropic and orthotropic materials with a crack inte
rsecting a free edge and an anisotropic three-material junction inters
ecting a free edge. The efficiency and accuracy of the method indicate
s it could be used to develop a numerical solution for the singular fi
eld that could in turn be used to create free-edge enriched finite ele
ments.