The mixed-mode analysis of a functionally graded orthotropic half-plane weakened by multiple curved cracks

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• 作者：M. M. Monfared ; M. Ayatollahi ; S. M. Mousavi
• 关键词：In ; plane ; Stress intensity factors ; Functionally graded orthotropic materials ; Multiple cracks ; Singular integral equations
• 刊名：Archive of Applied Mechanics (Ingenieur Archiv)
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：86
• 期：4
• 页码：713-728
• 全文大小：1,149 KB
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• 作者单位：M. M. Monfared (1)
  M. Ayatollahi (1)
  S. M. Mousavi (2)
  
  1. Faculty of Engineering, University of Zanjan, P. O. Box 45195-313, Zanjan, Iran
  2. Department of Civil and Structural Engineering, Aalto University, PO Box 12100, 00076, Espoo, Finland
  
• 刊物类别：Engineering
• 刊物主题：Theoretical and Applied Mechanics
  Mechanics
  Complexity
  Fluids
  Thermodynamics
  Systems and Information Theory in Engineering
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0681

文摘

The problem of functionally graded orthotropic half-plane with climb and glide edge dislocations is solved. Dislocations are used as the building blocks of defects to model cracks of modes I and II. Following a dislocation-based approach, the problem is reduced to a system of singular integral equations for dislocation density functions on the surfaces of smooth cracks. These integral equations enforce the crack-face boundary conditions and are solved numerically for the dislocation density. The numerical results include the stress intensity factors for several different cases of crack configurations and arrangements.