Sh. Ju, SIMULATING STRESS INTENSITY FACTORS FOR ANISOTROPIC MATERIALS BY THE LEAST-SQUARES METHOD, International journal of fracture, 81(3), 1996, pp. 283-297
The main purpose of this paper is to investigate the accuracy of the l
east-squares method incorporating the finite element method for findin
g the stress intensity factors of composite materials. Numerical simul
ations in this paper indicate that the least-squares method can be use
d to calculate stress intensity factors accurately, if seven or eight
displacements terms are included. The calculated stress intensity fact
ors by using the least-squares method can be as accurate as the calcul
ated J-integrals by using the J-integral formulation. If seven or eigh
t displacement terms are included, the calculated stress intensity fac
tors of this method are independent of the maximum radius of the area
from which data is included; furthermore, a very fine mesh is also not
necessary.