Transient analysis of collinear cracks under anti-plane dynamic loading

被引:8
作者
Wu, K. C. [1 ]
Chen, J. C. [1 ]
机构
[1] Natl Taiwan Univ, Inst Appl Mech, Taipei, Taiwan
来源
11TH INTERNATIONAL CONFERENCE ON THE MECHANICAL BEHAVIOR OF MATERIALS (ICM11) | 2011年 / 10卷
关键词
collinear cracks; dynamic stress intensity factor;
D O I
10.1016/j.proeng.2011.04.152
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The problem of a homogeneous linear elastic body containing multiple collinear cracks under anti-plane dynamic load is considered in this work. The cracks are simulated by distributions of dislocations and an integral equation relating tractions on the crack planes and the dislocation densities is derived. The integral equation in the Laplace transform domain is solved by Gaussian-Chebyshev integration quadrature. The dynamic stress intensity factor associated with each crack tip is calculated by a numerical inverse Laplace scheme. The proposed method was applied to calculate the stress intensity factors for M equally spaced cracks of identical length subject to impact loading with M = 1 similar to 4. Comparison of the numerical result for a single crack with the analytic solution shows that the present method is highly accurate. (C) 2011 Published by Elsevier Ltd. Selection and peer-review under responsibility of ICM11
引用
收藏
页数:6
相关论文
共 50 条
[31]   Anti-plane analysis on a finite crack in a one-dimensional hexagonal quasicrystal strip [J].
Guo, J. H. ;
Yu, J. ;
Xing, Y. M. .
MECHANICS RESEARCH COMMUNICATIONS, 2013, 52 :40-45
[32]   Investigation of interactions among collinear Griffith cracks situated in a functionally graded medium under thermo-mechanical loading [J].
Singh, Ritika ;
Das, S. .
JOURNAL OF THERMAL STRESSES, 2020, 44 (04) :433-455
[33]   Accurate finite element simulation of stresses for stationary dynamic cracks under impact loading [J].
Idesman, A. ;
Bhuiyan, A. ;
Foley, J. R. .
FINITE ELEMENTS IN ANALYSIS AND DESIGN, 2017, 126 :26-38
[34]   Dynamic Anti-plane Behaviors of a Semi-infinite piezoelectric Medium with a Circular Cavity and a Crack near the Surface [J].
Song, Tianshu ;
Li, Dong ;
Wang, Xinwang ;
Dong, Shengli .
ADVANCES IN FRACTURE AND DAMAGE MECHANICS VII, 2008, 385-387 :389-+
[35]   Transient and Steady-State Dynamic Stresses Under Antiplane Deformation of Bodies with Cracks [J].
Solyar T.Y. .
Journal of Mathematical Sciences, 2013, 194 (2) :225-238
[36]   The Dynamic Response of Circular Lining Structure and Multiple Cracks in Half Space under Impact Loading [J].
Yang, Zailin ;
Xu, Meijuan ;
Sun, Baitao .
ADVANCES IN FRACTURE AND DAMAGE MECHANICS VIII, 2010, 417-418 :713-+
[37]   Transient analysis of multiple arbitrarily oriented cracks under antiplane shear wave [J].
Chen, Shyh-Haur ;
Luo, Man-Wen ;
Wu, Kuang-Chong .
JOURNAL OF MECHANICS, 2024, 40 :565-570
[38]   Dynamic Anti-Plane Characteristics at Outer Tip of an Interfacial Crack near a Circular Cavity in Piezoelectric Bi-Materials [J].
Song, Tian-Shu ;
Hassan, Ahmed .
PROCEEDINGS OF 2014 INTERNATIONAL CONFERENCE ON MECHANICS AND MECHANICAL ENGINEERING, 2014, 684 :88-93
[39]   Transient thermo-mechanical analysis of dynamic curving cracks in functionally graded materials [J].
Sachin Gupta ;
Sandeep Abotula ;
Vijaya B. Chalivendra ;
Arun Shukla ;
Ravi Chona .
Acta Mechanica, 2012, 223 :1485-1506
[40]   Investigation of the dynamic behavior of two collinear anti-piane shear cracks in a piezoelectric layer bonded to two half spaces by a new metohd [J].
Zhou, ZG ;
Wang, B .
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2003, 24 (01) :1-13