Effect of T-stress and loading rate on crack initiation in rate sensitive plastic materials
The objectives of this paper are to examine the validity of a two-parameter ( J– Q) characterization of quasi-static crack tip fields in rate sensitive plastic solids and, also to investigate the influence of strain rate sensitivity of the material on the variation of fracture toughness with loading...
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| Veröffentlicht in: | International journal of solids and structures 2002-04, Vol.39 (7), p.1757-1775 |
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| container_title | International journal of solids and structures |
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| creator | Jayadevan, K.R. Narasimhan, R. Ramamurthy, T.S. Dattaguru, B. |
| description | The objectives of this paper are to examine the validity of a two-parameter (
J–
Q) characterization of quasi-static crack tip fields in rate sensitive plastic solids and, also to investigate the influence of strain rate sensitivity of the material on the variation of fracture toughness with loading rate. To this end, 2D plane strain finite element analyses of a boundary layer model loaded quasi-statically and a single edge notched (tensile) specimen under dynamic loading are performed. The material is assumed to obey a
J
2 viscoplasticity model and a small strain formulation is employed. The results demonstrate that a valid
J–
Q field exists in low to moderately rate sensitive materials under quasi-static loading (i.e., when inertial effects are neglected). The opposing effects of strain rate sensitivity and material inertia are reflected in the stress field ahead of the tip in the dynamically loaded specimen. The variation of fracture toughness
K
dc with loading rate
K
̇
for cleavage cracking is predicted using a simple critical stress criterion. It is found that strain rate sensitivity index of the material has a profound effect on the
K
dc–
K
̇
variation. |
| doi_str_mv | 10.1016/S0020-7683(02)00012-4 |
| format | Article |
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J–
Q) characterization of quasi-static crack tip fields in rate sensitive plastic solids and, also to investigate the influence of strain rate sensitivity of the material on the variation of fracture toughness with loading rate. To this end, 2D plane strain finite element analyses of a boundary layer model loaded quasi-statically and a single edge notched (tensile) specimen under dynamic loading are performed. The material is assumed to obey a
J
2 viscoplasticity model and a small strain formulation is employed. The results demonstrate that a valid
J–
Q field exists in low to moderately rate sensitive materials under quasi-static loading (i.e., when inertial effects are neglected). The opposing effects of strain rate sensitivity and material inertia are reflected in the stress field ahead of the tip in the dynamically loaded specimen. The variation of fracture toughness
K
dc with loading rate
K
̇
for cleavage cracking is predicted using a simple critical stress criterion. It is found that strain rate sensitivity index of the material has a profound effect on the
K
dc–
K
̇
variation.</description><identifier>ISSN: 0020-7683</identifier><identifier>EISSN: 1879-2146</identifier><identifier>DOI: 10.1016/S0020-7683(02)00012-4</identifier><identifier>CODEN: IJSOAD</identifier><language>eng</language><publisher>Oxford: Elsevier Ltd</publisher><subject>Cleavage fracture ; Computational techniques ; Dynamic fracture toughness ; Exact sciences and technology ; Finite elements ; Finite-element and galerkin methods ; Fracture mechanics (crack, fatigue, damage...) ; Fracture mechanics, fatigue and cracks ; Fundamental areas of phenomenology (including applications) ; J– Q field ; Loading rate ; Mathematical methods in physics ; Physics ; Rate dependent plastic solids ; Solid mechanics ; Structural and continuum mechanics</subject><ispartof>International journal of solids and structures, 2002-04, Vol.39 (7), p.1757-1775</ispartof><rights>2002 Elsevier Science Ltd</rights><rights>2002 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c368t-c0bca35f94e960e6c0169cba14689b02880ac798b946b102a25cb1adcf2766723</citedby><cites>FETCH-LOGICAL-c368t-c0bca35f94e960e6c0169cba14689b02880ac798b946b102a25cb1adcf2766723</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/S0020-7683(02)00012-4$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=13613118$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Jayadevan, K.R.</creatorcontrib><creatorcontrib>Narasimhan, R.</creatorcontrib><creatorcontrib>Ramamurthy, T.S.</creatorcontrib><creatorcontrib>Dattaguru, B.</creatorcontrib><title>Effect of T-stress and loading rate on crack initiation in rate sensitive plastic materials</title><title>International journal of solids and structures</title><description>The objectives of this paper are to examine the validity of a two-parameter (
J–
Q) characterization of quasi-static crack tip fields in rate sensitive plastic solids and, also to investigate the influence of strain rate sensitivity of the material on the variation of fracture toughness with loading rate. To this end, 2D plane strain finite element analyses of a boundary layer model loaded quasi-statically and a single edge notched (tensile) specimen under dynamic loading are performed. The material is assumed to obey a
J
2 viscoplasticity model and a small strain formulation is employed. The results demonstrate that a valid
J–
Q field exists in low to moderately rate sensitive materials under quasi-static loading (i.e., when inertial effects are neglected). The opposing effects of strain rate sensitivity and material inertia are reflected in the stress field ahead of the tip in the dynamically loaded specimen. The variation of fracture toughness
K
dc with loading rate
K
̇
for cleavage cracking is predicted using a simple critical stress criterion. It is found that strain rate sensitivity index of the material has a profound effect on the
K
dc–
K
̇
variation.</description><subject>Cleavage fracture</subject><subject>Computational techniques</subject><subject>Dynamic fracture toughness</subject><subject>Exact sciences and technology</subject><subject>Finite elements</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>J– Q field</subject><subject>Loading rate</subject><subject>Mathematical methods in physics</subject><subject>Physics</subject><subject>Rate dependent plastic solids</subject><subject>Solid mechanics</subject><subject>Structural and continuum mechanics</subject><issn>0020-7683</issn><issn>1879-2146</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2002</creationdate><recordtype>article</recordtype><recordid>eNqFkE1LxDAQhoMouH78BCEXRQ_VSdpN25PI4hcIHlxPHsJ0mkq0m66ZuuC_N7qiR08Db57JzDxCHCg4VaDM2QOAhqw0VX4M-gQAlM6KDTFRVVlnWhVmU0x-kW2xw_ySoCKvYSKeLrvO0SiHTs4zHqNjlhha2Q_Y-vAsI45ODkFSRHqVPvjR4-hT4MP6jV3gFK6cXPbIoye5SHH02POe2OpScfs_dVc8Xl3OZzfZ3f317eziLqPcVGNG0BDm064uXG3AGUo31dRgWryqG9BVBUhlXTV1YRoFGvWUGoUtdbo0ptT5rjha_7uMw9u749EuPJPrewxueGerS6Wh1CqB0zVIcWCOrrPL6BcYP6wC-6XSfqu0X54saPut0hap7_BnADJh30UM5PmvOTcqV6pK3Pmac-nalXfRMnkXyLU-Jsm2Hfw_kz4BS9WH3w</recordid><startdate>20020401</startdate><enddate>20020401</enddate><creator>Jayadevan, K.R.</creator><creator>Narasimhan, R.</creator><creator>Ramamurthy, T.S.</creator><creator>Dattaguru, B.</creator><general>Elsevier Ltd</general><general>Elsevier Science</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7SM</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>20020401</creationdate><title>Effect of T-stress and loading rate on crack initiation in rate sensitive plastic materials</title><author>Jayadevan, K.R. ; Narasimhan, R. ; Ramamurthy, T.S. ; Dattaguru, B.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368t-c0bca35f94e960e6c0169cba14689b02880ac798b946b102a25cb1adcf2766723</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2002</creationdate><topic>Cleavage fracture</topic><topic>Computational techniques</topic><topic>Dynamic fracture toughness</topic><topic>Exact sciences and technology</topic><topic>Finite elements</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>J– Q field</topic><topic>Loading rate</topic><topic>Mathematical methods in physics</topic><topic>Physics</topic><topic>Rate dependent plastic solids</topic><topic>Solid mechanics</topic><topic>Structural and continuum mechanics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Jayadevan, K.R.</creatorcontrib><creatorcontrib>Narasimhan, R.</creatorcontrib><creatorcontrib>Ramamurthy, T.S.</creatorcontrib><creatorcontrib>Dattaguru, B.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Earthquake Engineering Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>International journal of solids and structures</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Jayadevan, K.R.</au><au>Narasimhan, R.</au><au>Ramamurthy, T.S.</au><au>Dattaguru, B.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Effect of T-stress and loading rate on crack initiation in rate sensitive plastic materials</atitle><jtitle>International journal of solids and structures</jtitle><date>2002-04-01</date><risdate>2002</risdate><volume>39</volume><issue>7</issue><spage>1757</spage><epage>1775</epage><pages>1757-1775</pages><issn>0020-7683</issn><eissn>1879-2146</eissn><coden>IJSOAD</coden><abstract>The objectives of this paper are to examine the validity of a two-parameter (
J–
Q) characterization of quasi-static crack tip fields in rate sensitive plastic solids and, also to investigate the influence of strain rate sensitivity of the material on the variation of fracture toughness with loading rate. To this end, 2D plane strain finite element analyses of a boundary layer model loaded quasi-statically and a single edge notched (tensile) specimen under dynamic loading are performed. The material is assumed to obey a
J
2 viscoplasticity model and a small strain formulation is employed. The results demonstrate that a valid
J–
Q field exists in low to moderately rate sensitive materials under quasi-static loading (i.e., when inertial effects are neglected). The opposing effects of strain rate sensitivity and material inertia are reflected in the stress field ahead of the tip in the dynamically loaded specimen. The variation of fracture toughness
K
dc with loading rate
K
̇
for cleavage cracking is predicted using a simple critical stress criterion. It is found that strain rate sensitivity index of the material has a profound effect on the
K
dc–
K
̇
variation.</abstract><cop>Oxford</cop><pub>Elsevier Ltd</pub><doi>10.1016/S0020-7683(02)00012-4</doi><tpages>19</tpages></addata></record> |
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| identifier | ISSN: 0020-7683 |
| ispartof | International journal of solids and structures, 2002-04, Vol.39 (7), p.1757-1775 |
| issn | 0020-7683 1879-2146 |
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| subjects | Cleavage fracture Computational techniques Dynamic fracture toughness Exact sciences and technology Finite elements Finite-element and galerkin methods Fracture mechanics (crack, fatigue, damage...) Fracture mechanics, fatigue and cracks Fundamental areas of phenomenology (including applications) J– Q field Loading rate Mathematical methods in physics Physics Rate dependent plastic solids Solid mechanics Structural and continuum mechanics |
| title | Effect of T-stress and loading rate on crack initiation in rate sensitive plastic materials |
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