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Transient analysis of multiple parallel cracks under anti-plane dynamic loading
Affiliation:1. Le Quy Don Technical University, Viet Nam;2. Hanoi Department of Science and Technology, Viet Nam;3. Queen''s University, Belfast, UK;4. Duy Tan University, Viet Nam;1. Acoustics Research Laboratory, Center of Excellence in Experimental Solid Mechanics and Dynamics, School of Mechanical Engineering, Iran University of Science and Technology, Narmak, Tehran 16846-13114, Iran;2. Department of Mechanical Engineering, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran;1. Department of Materials Science and Engineering, Carnegie Mellon University, Pittsburgh, PA, 15213, USA;2. Aix-Marseille Univ, CNRS, CINaM, Marseille, France;3. NCEM-Molecular Foundry, LBNL, Berkeley, CA, 94720, USA;1. Centre of Expertise in Structural Mechanics, Department of Mechanical and Aeronautical Engineering, Monash University, Wellington Rd, Clayton, Vic 3800, Australia;2. Maritime Patrol Systems Project Office (MPSPO), RAAF Base Edinburgh, Edinburgh, SA 5111, Australia;3. Aircraft Structural Integrity – Directorate General Technical Airworthiness (ASI-DGTA), L474-B2-South, RAAF Williams, Laverton, Victoria 3027, Australia;4. Airbus Australia Pacific Group, PO Box 49, RAAF Edinburgh, SA 5111, Australia;1. School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou, Henan 450001, People’s Republic of China;2. Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology and School of Mechanical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, People’s Republic of China;3. Department of Mechanical Engineering, University of Alberta, Edmonton, AB T6G 1H9, Canada;1. Department of Greenergy, National University of Tainan, Tainan 70005, Taiwan;2. Department of Energy and Refrigerating Air-Conditioning Engineering, National Taipei University of Technology, Taipei 10608, Taiwan;3. Department of Civil Engineering, National Cheng-Kung University, Tainan 70101, Taiwan
Abstract:The problem of a homogeneous linear elastic body containing multiple non-collinear cracks under anti-plane dynamic loading 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 the Gaussian–Chebyshev integration quadrature. The dynamic stress intensity factor associated with each crack tip is calculated by a numerical inverse Laplace scheme. Numerical results are given for one crack and two or three parallel cracks under normal incidence of a plane horizontally shear stress wave.
Keywords:Non-collinear cracks  Dynamic stress intensity factor  Dislocation method
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