TY - JOUR
T1 - Sudden twisting of a flat annular crack
AU - Shindo, Y.
N1 - Funding Information:
Acknowledgements-The author is especially grateful to Prof. Dr. A. Atsumi, Tohoku University, for his invaluable direction. And it should be acknowledged that the expense for this study has been appropriated from the Scientific Research Fund of the Ministry of Education for the fiscal year (1980).
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1981
Y1 - 1981
N2 - The problem of a torque applied suddenly to the surface of a flat annular crack in an infinite elastic body is considered. The singular solution is equivalent to that of the sudden appearance of a crack in a body under torsion. Laplace and Hankel transforms are used to reduce the problem to a pair of triple integral equations. The solution to the triple integral equations is expressed in terms of a singular integral equation of the first kind with kernel IMproved by means of a contour integration on the Riemann surface. The singular stress distributions near the crack tip are obtained in closed form and the influences of the inertia, the ratio of the inner radius to the outer one and their interactions upon the dynamic stress-intensity factors are shown graphically.
AB - The problem of a torque applied suddenly to the surface of a flat annular crack in an infinite elastic body is considered. The singular solution is equivalent to that of the sudden appearance of a crack in a body under torsion. Laplace and Hankel transforms are used to reduce the problem to a pair of triple integral equations. The solution to the triple integral equations is expressed in terms of a singular integral equation of the first kind with kernel IMproved by means of a contour integration on the Riemann surface. The singular stress distributions near the crack tip are obtained in closed form and the influences of the inertia, the ratio of the inner radius to the outer one and their interactions upon the dynamic stress-intensity factors are shown graphically.
UR - http://www.scopus.com/inward/record.url?scp=0019677238&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0019677238&partnerID=8YFLogxK
U2 - 10.1016/0020-7683(81)90016-0
DO - 10.1016/0020-7683(81)90016-0
M3 - Article
AN - SCOPUS:0019677238
VL - 17
SP - 1103
EP - 1112
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 11
ER -