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Crack Growth Prediction by Manifold Method
The prediction of crack growth is studied by the manifold method. The manifold method is a new numerical method proposed by Shi. This method provides a unified framework for solving problems dealing with both continuums and jointed materials. It can be considered as a generalized finite-element meth...
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Published in: | Journal of engineering mechanics 1999-08, Vol.125 (8), p.884-890 |
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container_issue | 8 |
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container_title | Journal of engineering mechanics |
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creator | Tsay, Ren-Jow Chiou, Yaw-Jeng Chuang, Wai-Lin |
description | The prediction of crack growth is studied by the manifold method. The manifold method is a new numerical method proposed by Shi. This method provides a unified framework for solving problems dealing with both continuums and jointed materials. It can be considered as a generalized finite-element method and discontinuous deformation analysis. One of the most innovative features of the method is that it employs both a physical mesh and a mathematical mesh to formulate the physical problem. The physical mesh is dictated by the physical boundary of a problem, while the mathematical mesh is dictated by the computational consideration. These two meshes are interrelated through the application of weighting functions. In this study, a local mesh refinement and auto-remeshing schemes are proposed to extend the manifold method. The proposed model is first verified by comparing the numerical results with the benchmark solutions, and the results show satisfactory accuracy. The crack growth problems and the stress distributions are then investigated. The manifold method is proposed as an attractively new numerical technique for fracture mechanics analysis. |
doi_str_mv | 10.1061/(ASCE)0733-9399(1999)125:8(884) |
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The manifold method is a new numerical method proposed by Shi. This method provides a unified framework for solving problems dealing with both continuums and jointed materials. It can be considered as a generalized finite-element method and discontinuous deformation analysis. One of the most innovative features of the method is that it employs both a physical mesh and a mathematical mesh to formulate the physical problem. The physical mesh is dictated by the physical boundary of a problem, while the mathematical mesh is dictated by the computational consideration. These two meshes are interrelated through the application of weighting functions. In this study, a local mesh refinement and auto-remeshing schemes are proposed to extend the manifold method. The proposed model is first verified by comparing the numerical results with the benchmark solutions, and the results show satisfactory accuracy. The crack growth problems and the stress distributions are then investigated. The manifold method is proposed as an attractively new numerical technique for fracture mechanics analysis.</description><subject>Computational techniques</subject><subject>Exact sciences and technology</subject><subject>Finite-element and galerkin methods</subject><subject>Fracture mechanics (crack, fatigue, damage...)</subject><subject>Fracture mechanics, fatigue and cracks</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Mathematical methods in physics</subject><subject>Physics</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><subject>TECHNICAL PAPERS</subject><issn>0733-9399</issn><issn>1943-7889</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1999</creationdate><recordtype>article</recordtype><recordid>eNp9kF9LwzAUxYMoOKffoQ-im1DNnyZNfBBGnVPZVHCCbyHNUtZZm5l0yL69qZv6ZuCS-_Dj3HMOAKcIniPI0EVv8JwN-zAlJBZEiB4SQvQRppe8x3nS3wEdJBISp5yLXdD55fbBgfcLCFHCBOuAs8wp_RaNnP1s5tGTM7NSN6Wto3wdTVRdFraaRRPTzO3sEOwVqvLmaPt3wcvNcJrdxuPH0V02GMcqSDaxEjnFNOUaY41QjplKMCG5gDBRBVe4oCjPTVqYGUOEIgih4hAaw1KeJ5hq0gUnG92lsx8r4xv5XnptqkrVxq68xEwQBBEN4NUG1M5670whl658V24tEZRtR1K2Hck2u2yzy7YjGTqSXIaOgsDx9pLyWlWFU7Uu_Z8KZ0xQEbDXDRYoIxd25eqQX94PHybX0-A_CML28XZ48r2jHwv_O_gCTr590w</recordid><startdate>19990801</startdate><enddate>19990801</enddate><creator>Tsay, Ren-Jow</creator><creator>Chiou, Yaw-Jeng</creator><creator>Chuang, Wai-Lin</creator><general>American Society of Civil Engineers</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>19990801</creationdate><title>Crack Growth Prediction by Manifold Method</title><author>Tsay, Ren-Jow ; Chiou, Yaw-Jeng ; Chuang, Wai-Lin</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a469t-a9b52578c22c11b26a4233b9004af8a2f51bbe7fed61351000a800ee678b425c3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1999</creationdate><topic>Computational techniques</topic><topic>Exact sciences and technology</topic><topic>Finite-element and galerkin methods</topic><topic>Fracture mechanics (crack, fatigue, damage...)</topic><topic>Fracture mechanics, fatigue and cracks</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Mathematical methods in physics</topic><topic>Physics</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><topic>TECHNICAL PAPERS</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tsay, Ren-Jow</creatorcontrib><creatorcontrib>Chiou, Yaw-Jeng</creatorcontrib><creatorcontrib>Chuang, Wai-Lin</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>Journal of engineering mechanics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Tsay, Ren-Jow</au><au>Chiou, Yaw-Jeng</au><au>Chuang, Wai-Lin</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Crack Growth Prediction by Manifold Method</atitle><jtitle>Journal of engineering mechanics</jtitle><date>1999-08-01</date><risdate>1999</risdate><volume>125</volume><issue>8</issue><spage>884</spage><epage>890</epage><pages>884-890</pages><issn>0733-9399</issn><eissn>1943-7889</eissn><coden>JENMDT</coden><notes>ObjectType-Article-2</notes><notes>SourceType-Scholarly Journals-1</notes><notes>ObjectType-Feature-1</notes><notes>content type line 23</notes><abstract>The prediction of crack growth is studied by the manifold method. The manifold method is a new numerical method proposed by Shi. This method provides a unified framework for solving problems dealing with both continuums and jointed materials. It can be considered as a generalized finite-element method and discontinuous deformation analysis. One of the most innovative features of the method is that it employs both a physical mesh and a mathematical mesh to formulate the physical problem. The physical mesh is dictated by the physical boundary of a problem, while the mathematical mesh is dictated by the computational consideration. These two meshes are interrelated through the application of weighting functions. In this study, a local mesh refinement and auto-remeshing schemes are proposed to extend the manifold method. The proposed model is first verified by comparing the numerical results with the benchmark solutions, and the results show satisfactory accuracy. The crack growth problems and the stress distributions are then investigated. The manifold method is proposed as an attractively new numerical technique for fracture mechanics analysis.</abstract><cop>Reston, VA</cop><pub>American Society of Civil Engineers</pub><doi>10.1061/(ASCE)0733-9399(1999)125:8(884)</doi><tpages>7</tpages></addata></record> |
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source | American Society Of Civil Engineers ASCE Journals |
subjects | Computational techniques Exact sciences and technology Finite-element and galerkin methods Fracture mechanics (crack, fatigue, damage...) Fracture mechanics, fatigue and cracks Fundamental areas of phenomenology (including applications) Mathematical methods in physics Physics Solid mechanics Structural and continuum mechanics TECHNICAL PAPERS |
title | Crack Growth Prediction by Manifold Method |
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