Intersonic crack growth under time-dependent loading |
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| Institution: | 1. Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China;2. Department of Mechanical and Industrial Engineering, University of Illinois, Urbana, IL 61801, USA;1. Department of Civil, Environmental, and Architectural Engineering, University of Kansas, Lawrence, KS 66045, USA;2. Faculty of Civil Engineering, Semnan University, P.O. Box: 19111-35131, Semnan, Iran;3. Thornton Tomasetti, San Francisco, CA 94108, USA;1. Dept. of Biology, University of Padua, Via U. Bassi 58/B, 35121 Padova Italy;2. Dept. of Life Sciences, University of Trieste, Via L. Giorgieri 5, 34127 Trieste Italy;1. Department of Chemistry, University of Zabol, Zabol, Iran;2. Faculty of Pharmacy, Zabol University of Medical Sciences, Zabol, Iran;3. Department of Chemistry, University of Sistan and Baluchestan, Zahedan, Iran;1. Engineering Optics Lab, Department of Mechanical and Aerospace Engineering, Indian Institute of Technology Hyderabad, Kandi, India;2. Impact Engineering Lab, Department of Mechanical and Aerospace Engineering, Indian Institute of Technology Hyderabad, Kandi, India;1. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, China;2. Departments of Civil and Environmental Engineering and Mechanical Engineering, Center for Engineering and Health, Skin Disease Research Center, Northwestern University, Evanston, IL 60208, USA;3. Center for Mechanics and Materials, Tsinghua University, Beijing 100084, China;4. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;5. Department of Materials Science and Engineering, Frederick Seitz Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;1. Departments of Civil and Environmental Engineering and Mechanical Engineering, Northwestern University, Evanston, IL 60208, USA;2. Center for Engineering and Health, Northwestern University, Evanston, IL 60208, USA;3. Skin Disease Research Center, Northwestern University, Evanston, IL 60208, USA;4. Department of Materials Science and Engineering, University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA;5. Frederick Seitz Materials Research Laboratory, University of Illinois at Urbana–Champaign, Urbana, IL 61801, USA;6. Center for Mechanics and Materials, Tsinghua University, Beijing 100084, China |
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| Abstract: | The problem investigated in this paper is a mode II crack extending at a uniform intersonic speed in an otherwise unbounded elastic solid subjected to time dependent crack-face tractions. The fundamental solution for this problem is obtained analytically, which is then used to construct the general solution for an intersonic crack subjected to arbitrary time-dependent loading. For time-independent loading, this solution reduces to Huang and Gao’s J. Appl. Mech 68 (2001) 169] fundamental solution. We have also studied two crack-face loadings that are of interest for engineering applications. |
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