A frequency-domain BEM for 3D non-synchronous crack interaction analysis in elastic solids |
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| Affiliation: | 1. Pidstryhach Institute for Applied Problems of Mechanics & Mathematics, Lviv 79060, Ukraine;2. Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany;3. Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia;1. University of Toronto, Toronto, Canada;2. Princess Margaret Cancer Centre, Toronto, Canada;1. Department of Industrial Engineering, Tsinghua University, Beijing 100084, China;2. Department of Systems and Industrial Engineering, The University of Arizona, Tucson, AZ 85721, USA;3. Research Center for Modern Logistics, Graduate School at Shenzhen, Tsinghua University, Shenzhen 518055, China;1. School of Economics, The University of Queensland, Australia;2. School of Economics and Centre for Efficiency and Productivity Analysis, The University of Queensland, 530, Colin Clark Building (39), St. Lucia, Brisbane, Qld 4072, Australia;1. CSIRO Mathematics Informatics and Statistics, CSIRO, Australia;2. University of Newcastle, Australia;1. Department of Electrical and Computer Engineering, Duke University, Durham, NC 27708, USA;2. IMT Institute for Advanced Studies, Lucca, Italy;1. Department of Chemical and Petroleum Engineering, University of Calgary, 2500 University, Dr. NW, Calgary, AB, Canada T2N 1N4;2. Virtual Materials Group Inc. , 1829 Ranchlands Blvd. NW, Calgary, AB, Canada T3G 2A7 |
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| Abstract: | A frequency-domain boundary element method (BEM) is presented for non-synchronous crack interaction analysis in three-dimensional (3D), infinite, isotropic and linear elastic solids with multiple coplanar cracks. The cracks are subjected to non-synchronous time-harmonic crack-surface loading with contrast frequencies. Hypersingular frequency-domain traction boundary integral equations (BIEs) are applied to solve the boundary value problem. A collocation method is adopted for solving the BIEs numerically. The local square-root behavior of the crack-opening-displacements at the crack-front is taken into account in the present method. For two coplanar penny-shaped cracks of equal radius subjected to non-synchronous time-harmonic crack-surface loading, numerical results for the dynamic stress intensity factors are presented and discussed. |
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