| Title |
Three-Dimensional Virtual Crack Closure Technique Based on Anisoparametric Model for Stress Intensity Factors of Patch Repaired Plates with Cracks at Notches |
| Authors |
안재석(Ahn, Jae-Seok) ; 우광성(Woo, Kwang-Sung) |
| DOI |
https://doi.org/10.12652/Ksce.2012.32.1A.039 |
| Keywords |
p-수렴 비등매개변수 모델;패치보강 적층판;V형 노치;반원형 노치;초유한사상기법;가상균열닫힘법 p-convergent anisoparametric model;patch-repaired plate;V-shaped notch;semicircular notch;transfinite mapping technique;virtual crack closure technique |
| Abstract |
This study deals with numerical determination of stress intensity factors of adhesively patch-repaired plates with cracks at V-shaped or semicircular notches. The p-convergent anisoparametric model are considered and then three-dimensional virtual crack closure technique is presented using formulations of anisoparametric elements. In assumed displacement fields of an element, strain-displacement relations and three-dimensional constitutive equations are derived with three-dimensional hierarchical shape functions expanded from one-dimensional Lobatto functions. Transfinite mapping technique is used to represent a circular boundary. The present model provides accuracy and simplicity in terms of stress concentration factor, stress distribution, the number of degrees of freedom, and non-dimensional stress intensity factor as compared with previous works in literatures. Stress intensity factors obtained by the three-dimensional virtual crack closure technique are estimated with respect to the variation of width of finite plate, radius of notch root, angular inclination of V-shaped notch, and crack length. |