Crack tip plasticity of a half-infinite Dugdale crack embedded in an infinite space of one-dimensional hexagonal quasicrystal |
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| Institution: | 1. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China;2. China Railway Siyuan Survey and Design Group CO., LTD., Wuhan 430063, PR China;3. Department of Engineering Mechanics, Zhejiang University, Hangzhou 310027, PR China;1. School of Mathematics and Computer Science, Ningxia University, Yin Chuan 750021, China;2. Xinhua College, Ningxia University, Yin Chuan 750021, China;1. College of Science, China Agricultural University, Beijing 100083, China;2. College of Engineering, China Agricultural University, Beijing 100083, China;3. Department of Civil Engineering, University of Akron, Akron, OH 44325-3905, USA;1. State Key Laboratory of Traction Power, Southwest Jiaotong University, Chengdu, Sichuan 610031, PR China;2. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu 610031, PR China;3. Institute of Applied Mechanics, University of Kaiserslautern, P.O. Box 3049, D-67653 Kaiserslautern, Germany;1. Henan Key Engineering Laboratory for Anti-fatigue Manufacturing Technology and School of Mechanical Engineering, Zhengzhou University, Zhengzhou, China;2. School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou, Henan, China |
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| Abstract: | The present paper is devoted to determining the crack tip plasticity of a half-infinite Dugdale crack embedded in an infinite space of one-dimensional hexagonal quasicrystal. A pair of equal but opposite line loadings is assumed to be exerted on the upper and lower crack lips. By applying the Dugdale hypothesis together with the elastic results for a half-infinite crack, the extent of the plastic zone in the crack front is estimated. The normal stress outside the enlarged crack and crack surface displacements are explicitly presented, via the principle of superposition. The validity of the present solutions is discussed analytically by examining the overall equilibrium of the half-space. |
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| Keywords: | 1D hexagonal QC Half-infinite crack Dugdale model Plastic zone |
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