The normal stress space and its application to constructing a new failure criterion for cross-anisotropic geomaterials
The principal stress space has been traditionally used to describe and formulate isotropic strength criteria for materials, but it has limited functionality for anisotropic behavior, as it does not incorporate any information on material structure. In this paper we introduce a Normal Stress Space (N...
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Veröffentlicht in: | International journal of rock mechanics and mining sciences (Oxford, England : 1997) England : 1997), 2018-06, Vol.106, p.364-373 |
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container_title | International journal of rock mechanics and mining sciences (Oxford, England : 1997) |
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creator | Pei, Jianyong Einstein, Herbert H. Whittle, Andrew J. |
description | The principal stress space has been traditionally used to describe and formulate isotropic strength criteria for materials, but it has limited functionality for anisotropic behavior, as it does not incorporate any information on material structure. In this paper we introduce a Normal Stress Space (NSS) comprising three normal stresses in the material coordinate system to represent interactions between the stress tensor and material structure. Using NSS we then develop an extension of the well-known isotropic Matsuoka-Nakai (MN) criterion to describe the anisotropic shear strength of rock based on geometric considerations rather than algebraic tensor manipulations. This new criterion, called Anisotropic Matsuoka-Nakai (AMN) criterion, describes failure across bedding and foliation planes, while sliding along these planes of weakness is well described by the Coulomb criterion. True triaxial test data on chlorite schist and Chichibu Green schist obtained from the literature are then used to validate the proposed criterion. Reasonable agreement is obtained for both true triaxial datasets, providing encouraging validations of the proposed AMN-Coulomb failure criterion for describing both the strength and failure mode of cross-anisotropic rocks under complex stress conditions. |
doi_str_mv | 10.1016/j.ijrmms.2018.03.023 |
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In this paper we introduce a Normal Stress Space (NSS) comprising three normal stresses in the material coordinate system to represent interactions between the stress tensor and material structure. Using NSS we then develop an extension of the well-known isotropic Matsuoka-Nakai (MN) criterion to describe the anisotropic shear strength of rock based on geometric considerations rather than algebraic tensor manipulations. This new criterion, called Anisotropic Matsuoka-Nakai (AMN) criterion, describes failure across bedding and foliation planes, while sliding along these planes of weakness is well described by the Coulomb criterion. True triaxial test data on chlorite schist and Chichibu Green schist obtained from the literature are then used to validate the proposed criterion. 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In this paper we introduce a Normal Stress Space (NSS) comprising three normal stresses in the material coordinate system to represent interactions between the stress tensor and material structure. Using NSS we then develop an extension of the well-known isotropic Matsuoka-Nakai (MN) criterion to describe the anisotropic shear strength of rock based on geometric considerations rather than algebraic tensor manipulations. This new criterion, called Anisotropic Matsuoka-Nakai (AMN) criterion, describes failure across bedding and foliation planes, while sliding along these planes of weakness is well described by the Coulomb criterion. True triaxial test data on chlorite schist and Chichibu Green schist obtained from the literature are then used to validate the proposed criterion. Reasonable agreement is obtained for both true triaxial datasets, providing encouraging validations of the proposed AMN-Coulomb failure criterion for describing both the strength and failure mode of cross-anisotropic rocks under complex stress conditions.</description><subject>Anisotropic rocks</subject><subject>Anisotropy</subject><subject>Criteria</subject><subject>Cross-anisotropy</subject><subject>Data processing</subject><subject>Failure</subject><subject>Failure analysis</subject><subject>Failure criterion</subject><subject>Geomaterials</subject><subject>Normal stress</subject><subject>Planes</subject><subject>Rock shear strength</subject><subject>Rocks</subject><subject>Schist</subject><subject>Shear strength</subject><subject>Stress</subject><subject>Stress state</subject><issn>1365-1609</issn><issn>1873-4545</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2018</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhosouH78Aw8Bz62Tr7Z7EUT8ggUveg4xnawp26QmWcV_b9b17Glm4HnfmXmr6oJCQ4G2V2PjxjhNqWFA-wZ4A4wfVAvad7wWUsjD0vNW1rSF5XF1ktIIAC1ru0X1-fKOxIc46Q1JOWJKJM3aINF-IC4noud544zOLniSAzHBF2xrsvNroonHL2K122wjEhNdxrjjbIhlCinV2rsUcgyzM2SNYdI7Qm_SWXVkS8Hzv3pavd7fvdw-1qvnh6fbm1WtuexyLYWxQAUCMDtI6CxDxoclFy23rBNGCG0l9EtOWyYkk290aXs2gHmDgXE78NPqcu87x_CxxZTVGLbRl5WKQd_2nFHKCyX21O_REa2ao5t0_FYU1C5hNap9wmqXsAKuSsJFdr2XYfng02FUyTj0BgcX0WQ1BPe_wQ_VM4gy</recordid><startdate>201806</startdate><enddate>201806</enddate><creator>Pei, Jianyong</creator><creator>Einstein, Herbert H.</creator><creator>Whittle, Andrew J.</creator><general>Elsevier Ltd</general><general>Elsevier BV</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7UA</scope><scope>8FD</scope><scope>C1K</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>201806</creationdate><title>The normal stress space and its application to constructing a new failure criterion for cross-anisotropic geomaterials</title><author>Pei, Jianyong ; Einstein, Herbert H. ; Whittle, Andrew J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a357t-54cf014e002fd507f2e23d93463f274c44af508931624525b19f82d0cb0d23fd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2018</creationdate><topic>Anisotropic rocks</topic><topic>Anisotropy</topic><topic>Criteria</topic><topic>Cross-anisotropy</topic><topic>Data processing</topic><topic>Failure</topic><topic>Failure analysis</topic><topic>Failure criterion</topic><topic>Geomaterials</topic><topic>Normal stress</topic><topic>Planes</topic><topic>Rock shear strength</topic><topic>Rocks</topic><topic>Schist</topic><topic>Shear strength</topic><topic>Stress</topic><topic>Stress state</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pei, Jianyong</creatorcontrib><creatorcontrib>Einstein, Herbert H.</creatorcontrib><creatorcontrib>Whittle, Andrew J.</creatorcontrib><collection>CrossRef</collection><collection>Water Resources Abstracts</collection><collection>Technology Research Database</collection><collection>Environmental Sciences and Pollution Management</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of rock mechanics and mining sciences (Oxford, England : 1997)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pei, Jianyong</au><au>Einstein, Herbert H.</au><au>Whittle, Andrew J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>The normal stress space and its application to constructing a new failure criterion for cross-anisotropic geomaterials</atitle><jtitle>International journal of rock mechanics and mining sciences (Oxford, England : 1997)</jtitle><date>2018-06</date><risdate>2018</risdate><volume>106</volume><spage>364</spage><epage>373</epage><pages>364-373</pages><issn>1365-1609</issn><eissn>1873-4545</eissn><abstract>The principal stress space has been traditionally used to describe and formulate isotropic strength criteria for materials, but it has limited functionality for anisotropic behavior, as it does not incorporate any information on material structure. In this paper we introduce a Normal Stress Space (NSS) comprising three normal stresses in the material coordinate system to represent interactions between the stress tensor and material structure. Using NSS we then develop an extension of the well-known isotropic Matsuoka-Nakai (MN) criterion to describe the anisotropic shear strength of rock based on geometric considerations rather than algebraic tensor manipulations. This new criterion, called Anisotropic Matsuoka-Nakai (AMN) criterion, describes failure across bedding and foliation planes, while sliding along these planes of weakness is well described by the Coulomb criterion. True triaxial test data on chlorite schist and Chichibu Green schist obtained from the literature are then used to validate the proposed criterion. Reasonable agreement is obtained for both true triaxial datasets, providing encouraging validations of the proposed AMN-Coulomb failure criterion for describing both the strength and failure mode of cross-anisotropic rocks under complex stress conditions.</abstract><cop>Berlin</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijrmms.2018.03.023</doi><tpages>10</tpages></addata></record> |
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subjects | Anisotropic rocks Anisotropy Criteria Cross-anisotropy Data processing Failure Failure analysis Failure criterion Geomaterials Normal stress Planes Rock shear strength Rocks Schist Shear strength Stress Stress state |
title | The normal stress space and its application to constructing a new failure criterion for cross-anisotropic geomaterials |
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