CONSERVATION LAWS IN FINITE MICROCRACKING BRITTLE SOLIDS
This paper addresses the conservation laws in finite brittle solids with microcracks. The discussion is limited to the 2-D cases. First, after considering the combination of the Pseudo-Traction Method and the indirect Boundary Element Method, a versatile method for solving multi-crack interacting pr...
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Veröffentlicht in: | Acta mechanica solida Sinica 2005-09, Vol.18 (3), p.189-199 |
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description | This paper addresses the conservation laws in finite brittle solids with microcracks. The discussion is limited to the 2-D cases. First, after considering the combination of the Pseudo-Traction Method and the indirect Boundary Element Method, a versatile method for solving multi-crack interacting problems in finite plane solids is proposed, by which the fracture parameters (SIF and path-independent integrals) can be calculated with a desirable accuracy. Second, with the aid of the method proposed, the roles the conservation laws play in the fracture analysis for finite microcracking solids are studied. It is concluded that the conservation laws do play important roles in not only the fracture analysis but also the analysis of damage and stability for the finite microcracking system. Finally, the physical interpretation of the M-integral is discussed further. An explicit relation between the M-integral and the crack face area, i.e., M = GS, has been discovered using the analytical method, which can shed some light on the Damage Mechanics issues from a different perspective. |
doi_str_mv | 10.1007/s10338-005-0524-1 |
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The discussion is limited to the 2-D cases. First, after considering the combination of the Pseudo-Traction Method and the indirect Boundary Element Method, a versatile method for solving multi-crack interacting problems in finite plane solids is proposed, by which the fracture parameters (SIF and path-independent integrals) can be calculated with a desirable accuracy. Second, with the aid of the method proposed, the roles the conservation laws play in the fracture analysis for finite microcracking solids are studied. It is concluded that the conservation laws do play important roles in not only the fracture analysis but also the analysis of damage and stability for the finite microcracking system. Finally, the physical interpretation of the M-integral is discussed further. An explicit relation between the M-integral and the crack face area, i.e., M = GS, has been discovered using the analytical method, which can shed some light on the Damage Mechanics issues from a different perspective.</description><identifier>ISSN: 0894-9166</identifier><identifier>EISSN: 1860-2134</identifier><identifier>DOI: 10.1007/s10338-005-0524-1</identifier><language>eng</language><publisher>Department of Architecture and Civil Engineering, Fukui University, Fukui 910-8507, Japan%Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an 710049, China%Department of Architecture and Civil Engineering, Fukui University, Fukui 910-8507, Japan</publisher><subject>假牵引法 ; 守恒定律 ; 微观裂纹 ; 易碎物体 ; 边界元素分析</subject><ispartof>Acta mechanica solida Sinica, 2005-09, Vol.18 (3), p.189-199</ispartof><rights>Copyright © Wanfang Data Co. Ltd. All Rights Reserved.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/87045X/87045X.jpg</thumbnail><link.rule.ids>314,780,784,27915,27916</link.rule.ids></links><search><creatorcontrib>Wang Defa Chen Yiheng Fukui Takuo</creatorcontrib><title>CONSERVATION LAWS IN FINITE MICROCRACKING BRITTLE SOLIDS</title><title>Acta mechanica solida Sinica</title><addtitle>Acta Mechanica Solida Sinica</addtitle><description>This paper addresses the conservation laws in finite brittle solids with microcracks. The discussion is limited to the 2-D cases. First, after considering the combination of the Pseudo-Traction Method and the indirect Boundary Element Method, a versatile method for solving multi-crack interacting problems in finite plane solids is proposed, by which the fracture parameters (SIF and path-independent integrals) can be calculated with a desirable accuracy. Second, with the aid of the method proposed, the roles the conservation laws play in the fracture analysis for finite microcracking solids are studied. It is concluded that the conservation laws do play important roles in not only the fracture analysis but also the analysis of damage and stability for the finite microcracking system. Finally, the physical interpretation of the M-integral is discussed further. An explicit relation between the M-integral and the crack face area, i.e., M = GS, has been discovered using the analytical method, which can shed some light on the Damage Mechanics issues from a different perspective.</description><subject>假牵引法</subject><subject>守恒定律</subject><subject>微观裂纹</subject><subject>易碎物体</subject><subject>边界元素分析</subject><issn>0894-9166</issn><issn>1860-2134</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2005</creationdate><recordtype>article</recordtype><recordid>eNotj8tKw0AYhQdRMFYfwF1w52L0n0vnsowxrYMxgSTqMsxMk9haUjQV-_gO1NWBw8e5IHRN4I4AyPuJAGMKA8wxzCnH5ARFRAnAlDB-iiJQmmNNhDhHF9O0AaDAFI2QSsuizqq3pDFlEefJex2bIl6YwjRZ_GLSqkyrJH02xTJ-qEzT5Flcl7l5rC_RWW-3U3f1rzP0usia9Ann5dKkSY494WKPmRbOMddzwazueu6tD5aUUlFhO6mAad977V0npPNixRVVXhM3Jyu5Il6yGbo95v7asbfj0G52P99jaGyH_fZwcG1Hw2lgACSwN0fWf-zG4WsdaGf9Z7_edm34K8IIzf4AaaZRAw</recordid><startdate>20050901</startdate><enddate>20050901</enddate><creator>Wang Defa Chen Yiheng Fukui Takuo</creator><general>Department of Architecture and Civil Engineering, Fukui University, Fukui 910-8507, Japan%Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an 710049, China%Department of Architecture and Civil Engineering, Fukui University, Fukui 910-8507, Japan</general><general>Department of Civil Engineering, Xi'an University of Technology, Xi'an 710048, China</general><scope>2RA</scope><scope>92L</scope><scope>CQIGP</scope><scope>~WA</scope><scope>2B.</scope><scope>4A8</scope><scope>92I</scope><scope>93N</scope><scope>PSX</scope><scope>TCJ</scope></search><sort><creationdate>20050901</creationdate><title>CONSERVATION LAWS IN FINITE MICROCRACKING BRITTLE SOLIDS</title><author>Wang Defa Chen Yiheng Fukui Takuo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c146t-396bb3bf463a9ef4cac396777826ae78039cfc9cbe67bc6d4828c91b51d7d1c73</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2005</creationdate><topic>假牵引法</topic><topic>守恒定律</topic><topic>微观裂纹</topic><topic>易碎物体</topic><topic>边界元素分析</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Wang Defa Chen Yiheng Fukui Takuo</creatorcontrib><collection>维普_期刊</collection><collection>中文科技期刊数据库-CALIS站点</collection><collection>维普中文期刊数据库</collection><collection>中文科技期刊数据库- 镜像站点</collection><collection>Wanfang Data Journals - Hong Kong</collection><collection>WANFANG Data Centre</collection><collection>Wanfang Data Journals</collection><collection>万方数据期刊 - 香港版</collection><collection>China Online Journals (COJ)</collection><collection>China Online Journals (COJ)</collection><jtitle>Acta mechanica solida Sinica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Wang Defa Chen Yiheng Fukui Takuo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>CONSERVATION LAWS IN FINITE MICROCRACKING BRITTLE SOLIDS</atitle><jtitle>Acta mechanica solida Sinica</jtitle><addtitle>Acta Mechanica Solida Sinica</addtitle><date>2005-09-01</date><risdate>2005</risdate><volume>18</volume><issue>3</issue><spage>189</spage><epage>199</epage><pages>189-199</pages><issn>0894-9166</issn><eissn>1860-2134</eissn><abstract>This paper addresses the conservation laws in finite brittle solids with microcracks. The discussion is limited to the 2-D cases. First, after considering the combination of the Pseudo-Traction Method and the indirect Boundary Element Method, a versatile method for solving multi-crack interacting problems in finite plane solids is proposed, by which the fracture parameters (SIF and path-independent integrals) can be calculated with a desirable accuracy. Second, with the aid of the method proposed, the roles the conservation laws play in the fracture analysis for finite microcracking solids are studied. It is concluded that the conservation laws do play important roles in not only the fracture analysis but also the analysis of damage and stability for the finite microcracking system. Finally, the physical interpretation of the M-integral is discussed further. An explicit relation between the M-integral and the crack face area, i.e., M = GS, has been discovered using the analytical method, which can shed some light on the Damage Mechanics issues from a different perspective.</abstract><pub>Department of Architecture and Civil Engineering, Fukui University, Fukui 910-8507, Japan%Department of Engineering Mechanics, Xi'an Jiaotong University, Xi'an 710049, China%Department of Architecture and Civil Engineering, Fukui University, Fukui 910-8507, Japan</pub><doi>10.1007/s10338-005-0524-1</doi><tpages>11</tpages></addata></record> |
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subjects | 假牵引法 守恒定律 微观裂纹 易碎物体 边界元素分析 |
title | CONSERVATION LAWS IN FINITE MICROCRACKING BRITTLE SOLIDS |
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