TY - JOUR
T1 - Transverse flexural fracture of a plate containing an arc crack
AU - Shiah, Yui Chuin
PY - 2002/1/1
Y1 - 2002/1/1
N2 - In this paper, the transverse flexural fracture of a plate weakened by a circular arc crack is studied. The flexural loads of out-of-plane bending, twisting, and shearing are assumed to act upon the plate edge at infinity. On the basis of the complex variable approach for first boundary condition problems, a new conformal mapping is proposed to transform the contour surface of a circular arc crack into a unit circle. General formulations for transverse loading were applied to derive the governing boundary equation. By taking the Cauchy integral for each term of the boundary equation, the complex stress functions corresponding to the flexural loads are formulated. Also, corresponding stress intensity factors are given through a coordinate transformation followed by taking a limiting process. In addition, for the transverse flexural fracture, the mutual weakening between both crack tips is investigated.
AB - In this paper, the transverse flexural fracture of a plate weakened by a circular arc crack is studied. The flexural loads of out-of-plane bending, twisting, and shearing are assumed to act upon the plate edge at infinity. On the basis of the complex variable approach for first boundary condition problems, a new conformal mapping is proposed to transform the contour surface of a circular arc crack into a unit circle. General formulations for transverse loading were applied to derive the governing boundary equation. By taking the Cauchy integral for each term of the boundary equation, the complex stress functions corresponding to the flexural loads are formulated. Also, corresponding stress intensity factors are given through a coordinate transformation followed by taking a limiting process. In addition, for the transverse flexural fracture, the mutual weakening between both crack tips is investigated.
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U2 - 10.1080/02533839.2002.9670693
DO - 10.1080/02533839.2002.9670693
M3 - Article
AN - SCOPUS:0036500134
VL - 25
SP - 189
EP - 198
JO - Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers
JF - Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers
SN - 0253-3839
IS - 2
ER -