The stress intensity factor history due to three-dimensional transient loading on the faces of a crack |
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| Institution: | 1. School of Highway, Chang’an University, Xi’an, Shaanxi 710054, China;2. Institute of Geotechnical Engineering, Southeast University, Nanjing 211189, China;3. School of Engineering, University of Warwick, Coventry CV4 7AL, UK;1. Welding and Joining Research Center, School of Industrial Engineering, Iran University of Science and Technology (IUST), 16846-13114 Narmak, Tehran, Iran;2. Department of Mechanics and Strength of Materials, Politehnica University of Timisoara, Blvd. M. Viteazu, No. 1, Timisoara 300 222, Romania;3. Department of Mechanical and Mechatronics Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada;1. Department of Mining Engineering, Isfahan University of Technology (IUT), Isfahan, 8415683111, Iran;2. Civil Engineering Department, Abu Dhabi University, Al Ain, United Arab Emirates;1. School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo 454000, China;2. Henan Key Laboratory for Green and Efficient Mining & Comprehensive Utilization of Mineral Resources, Jiaozuo 454000, China;3. Collaborative Innovation Center of Coal Work Safety, Jiaozuo 454000, Henan Province, China;1. School of Civil Engineering, Southeast University, Nanjing, Jiangsu 210096, China;2. Department of Civil Engineering, Monash University, Melbourne, Victoria 3800, Australia;3. School of Resources and Safety Engineering, Central South University, Changsha 410083, China;4. School of Civil Engineering, Southwest Jiaotong University, Chengdu, Sichuan 610031, China |
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| Abstract: | Aprocedure is described for determining dynamic stress intensity factor histories for a half plane crack in an otherwise unbounded elastic body, with the crack faces subjected to tractions that result in variation of the stress intensity factor along the crack edge. The procedure is based on integral transform methods and the properties of analytic functions of a complex variable. The procedure is illustrated for the case of a pair of opposed line loads suddenly applied on the crack faces along a line perpendicular to the crack edge. An exact expression is obtained for the resulting mode I stress intensity factor as a function of time for any point along the crack edge. Some features of the solution, as well as possible extensions of the procedure, are discussed. |
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