TY - JOUR

T1 - Accuracy and limit of a least-squares method to calculate 3D notch SIFs

AU - Ju, S. H.

AU - Chung, H. Y.

PY - 2007/11

Y1 - 2007/11

N2 - To evaluate the three-dimensional (3D) stress intensity factors (SIFs) of a sharp V-notch using the finite element result is limited in the literature. Thus, this study developed a least-squares method to solve this problem as well as study its restriction and accuracy. First, the William's eigenfunction and complex stress function approach are deduced into a least-squares form, and then stress field from the finite element analysis is substituted into the least-squares equation to evaluate the 3D SIFs. Numerical simulations in this article show that the least-squares method can be used to calculate SIFs accurately if more than two stress terms are included. The calculated SIFs of this least-squares method are not sensitive to the maximum and minimum radiuses of the area from which data are included. The major advantage of the proposed method is that the procedure is simple and systematic, so it can be applied to any finite element code without difficulties.

AB - To evaluate the three-dimensional (3D) stress intensity factors (SIFs) of a sharp V-notch using the finite element result is limited in the literature. Thus, this study developed a least-squares method to solve this problem as well as study its restriction and accuracy. First, the William's eigenfunction and complex stress function approach are deduced into a least-squares form, and then stress field from the finite element analysis is substituted into the least-squares equation to evaluate the 3D SIFs. Numerical simulations in this article show that the least-squares method can be used to calculate SIFs accurately if more than two stress terms are included. The calculated SIFs of this least-squares method are not sensitive to the maximum and minimum radiuses of the area from which data are included. The major advantage of the proposed method is that the procedure is simple and systematic, so it can be applied to any finite element code without difficulties.

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U2 - 10.1007/s10704-008-9193-7

DO - 10.1007/s10704-008-9193-7

M3 - Article

AN - SCOPUS:42149118915

SN - 0376-9429

VL - 148

SP - 169

EP - 183

JO - International Journal of Fracture

JF - International Journal of Fracture

IS - 2

ER -