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The vibration of a half-space due to a buried mode I crack opening
Institution:1. School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran;2. Department of Engineering Science, College of Engineering, University of Tehran, Tehran, Iran;3. School of Civil Engineering, College of Engineering, University of Tehran, Tehran, Iran;1. Department of Civil Engineering, School of Science and Engineering, Sharif University of Technology, International Campus, P.O. Box 79417-76655, Kish Island, Iran;2. Department of Civil Engineering, University of Hormozgan, Bandar Abbas, P.O. Box 3995, Iran;3. Department of Civil Engineering, Sharif University of Technology, Tehran, P.O. Box 11155-9313, Iran;1. Faculty of Mechanical Engineering, Ho Chi Minh City University of Technology, 268 Ly Thuong Kiet Street, District 10, Ho Chi Minh City, Vietnam;2. Department of Mechanical Engineering, University of South Alabama, Mobile, AL, 36688, USA;1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China;2. College of Civil Engineering, Hebei University of Architecture, Zhangjiakou 075000, PR China;3. College of Civil Engineering, Hebei University of Engineering, Handan 056038, PR China
Abstract:The solution of a dynamic problem for calculation of a displacement field on a half-space surface caused by an internal mode I crack opening is presented. The problem is reduced to the system of boundary integral equations (BIEs). The equations of motion are solved with the use of Helmholtz potentials and applying Fourier integral transform. The effects of the crack size, the crack depth and the distance from the crack epicenter to the observation point on the parameters of elastic waves are investigated. It is established that the increasing of the defect size leads to narrowing bandwidth of elastic waves and to lowering of center frequency. The analysis given here can be used for identification of the crack growth during technical diagnostic of an industry objects and structural elements by AE method.
Keywords:Boundary integral equations method  Half-space  Elastic wave  Mode I crack  Crack-opening displacement
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