The diffraction of plane elastic unsteady waves by a delaminated inclusion in the case of smooth contact in the delamination region |
| |
| Authors: | AP Moiseyenok VG Popov |
| |
| Institution: | 1. Davenport University, 4801 Oakman Boulevard, Dearborn, MI 48126, USA;2. University of Connecticut, Department of Materials Science and Engineering, Connecticut Global Fuel Center, 44 Weaver Road, Unit 5233, Storrs, CT 06269, USA;1. EURATOM/UKAEA Fusion Association, Culham Science Centre, Abingdon, Oxfordshire OX14 3DB, UK;2. Department of Physics and Astronomy, University College of London, London WC1E 6BT, UK;1. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;2. Department of Aerospace Engineering and Mechanics, Harbin Institute of Technology, P.O. Box 137, Harbin 150001, China;1. Department of Orthopaedics and Traumatology, Onze Lieve Vrouwe Gasthuis, Amsterdam, The Netherlands;4. Department of Radiology, Onze Lieve Vrouwe Gasthuis, Amsterdam, The Netherlands;2. Department of Orthopaedics, University Medical Center Utrecht, Utrecht, The Netherlands;3. Centre for Statistical Consultation, University of Stellenbosch, Stellenbosch, South Africa.;1. Department of Mechanical Engineering, Academy of Armored Force Engineering, No. 21, Du Jia Kan, Chang Xin Dian, Beijing 100072, PR China;2. School of Mechanical Engineering, Yonsei University, Seoul 120-749, South Korea |
| |
| Abstract: | A solution of the problem of the diffraction of unsteady elastic waves by a thin strip-like delaminated rigid inclusion in an unbounded elastic medium under conditions of planer strain is proposed. We have in mind an inclusion, one side of which is completely bonded with the medium while, the other side is delaminated and conditions of smooth contact are satisfied on it. The method of solution is based on the use of discontinuous solutions of the Lamé equations of motion under conditions of planer strain, which have been constructed earlier in the space of Laplace transforms. As a result, the problem reduces to solving a system of three singular integral equations for the transforms of the unknown discontinuities. The inverse transforms are found by a numerical method, based on the replacement of a Mellin integral by a Fourier series. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
