A study of finite size effects on cracked 2-D piezoelectric media using extended finite element method |
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Authors: | R.R. Bhargava Kuldeep Sharma |
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Affiliation: | 1. College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, PR China;2. Key Laboratory of Disaster Prevention and Structural Safety, Guangxi University, Nanning, Guangxi 530004, PR China;1. Department of Engineering Mechanics, Hohai University, Nanjing 210098, PR China;2. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9-11, 57076 Siegen, Germany;1. Institute of Construction and Architecture, Slovak Academy of Sciences, 84503 Bratislava, Slovakia;2. Department of Mechanical & Aerospace Engineering, Carleton University, Ottawa K1S 5B6, Canada;1. Department of Engineering Mechanics, Beijing University of Technology, Beijing 100124, PR China;2. Department of Civil Engineering, University of Siegen, D-57068 Siegen, Germany;1. Graduate School at Shenzhen, Harbin Institute of Technology, Harbin 150001, PR China;2. School of Materials Science and Engineering, The University of New South Wales, Sydney, NSW 2052, Australia |
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Abstract: | The extended finite element method is applied on the two-dimensional (2-D) finite piezoelectric media weakened by a crack. The fourfold standard enrichment functions are taken in conjugation with the interaction integral to evaluate the intensity factors. Four sequence of analysis, namely crack–mesh alignment, aspect ratio, mesh with local refinement and domain independency is done on the center and edge crack problems. These four analyses when combined together give an optimum result to study the finite specimen. It is observed that for smaller values of strip width to crack length ratio the finiteness of the specimen size affects the intensity factors. |
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