Linear and non-linear analyses for semi-elliptical surface cracks in pipes under bending
In this paper, the J integral was calculated for semi-elliptical surface cracks in pipes under bending using three-dimensional finite element analysis. The computations were performed for elastic and elastic-plastic behaviours. For the elastic case, the numerical results allowed the extrapolation of...
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Veröffentlicht in: | The International journal of pressure vessels and piping 2011, Vol.88 (1), p.57-63 |
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creator | Mechab, B. Serier, B. Bouiadjra, B. Bachir Kaddouri, K. Feaugas, X. |
description | In this paper, the
J integral was calculated for semi-elliptical surface cracks in pipes under bending using three-dimensional finite element analysis. The computations were performed for elastic and elastic-plastic behaviours. For the elastic case, the numerical results allowed the extrapolation of shape functions for analytical determination of the
J integral. The results are in a good agreement with those in the literature if the ratio between the radius and the thickness of the pipe (
R/
t) is from 1 to 10. The analysis was extended to values of the ratio
R/
t higher than 10. For the elastic-plastic, the numerical results are in good agreement with the analytical solution found in the literature for thick pipes (
R/
t ≥ 10). The effect of the ratio
R/
t becomes sensible when the ratio of the applied moment to the moment of reference (
M/Mo
r) exceeds 0.9. |
doi_str_mv | 10.1016/j.ijpvp.2010.11.001 |
format | Article |
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J integral was calculated for semi-elliptical surface cracks in pipes under bending using three-dimensional finite element analysis. The computations were performed for elastic and elastic-plastic behaviours. For the elastic case, the numerical results allowed the extrapolation of shape functions for analytical determination of the
J integral. The results are in a good agreement with those in the literature if the ratio between the radius and the thickness of the pipe (
R/
t) is from 1 to 10. The analysis was extended to values of the ratio
R/
t higher than 10. For the elastic-plastic, the numerical results are in good agreement with the analytical solution found in the literature for thick pipes (
R/
t ≥ 10). The effect of the ratio
R/
t becomes sensible when the ratio of the applied moment to the moment of reference (
M/Mo
r) exceeds 0.9.</description><identifier>ISSN: 0308-0161</identifier><identifier>EISSN: 1879-3541</identifier><identifier>DOI: 10.1016/j.ijpvp.2010.11.001</identifier><identifier>CODEN: PRVPAS</identifier><language>eng</language><publisher>Kidlington: Elsevier Ltd</publisher><subject>Accuracy ; Applied sciences ; Bending ; Exact sciences and technology ; Extrapolation ; Finite element method ; Fracture ; Fracture mechanics ; Fracture mechanics (crack, fatigue, damage...) ; Fundamental areas of phenomenology (including applications) ; Inelasticity (thermoplasticity, viscoplasticity...) ; J integral ; Mathematical analysis ; Mechanical engineering. Machine design ; Physics ; Pipe ; Reference stress approach ; Semi-elliptical surface cracks ; Shape factor function ; Solid mechanics ; Steel design ; Steel tanks and pressure vessels; boiler manufacturing ; Structural and continuum mechanics ; Surface cracks</subject><ispartof>The International journal of pressure vessels and piping, 2011, Vol.88 (1), p.57-63</ispartof><rights>2010 Elsevier Ltd</rights><rights>2015 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c365t-402309fa63e230f5832b0c9cb1cc578fffaedcd5562228a7de0e98d3919290ab3</citedby><cites>FETCH-LOGICAL-c365t-402309fa63e230f5832b0c9cb1cc578fffaedcd5562228a7de0e98d3919290ab3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/j.ijpvp.2010.11.001$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,4024,27923,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=23825344$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Mechab, B.</creatorcontrib><creatorcontrib>Serier, B.</creatorcontrib><creatorcontrib>Bouiadjra, B. Bachir</creatorcontrib><creatorcontrib>Kaddouri, K.</creatorcontrib><creatorcontrib>Feaugas, X.</creatorcontrib><title>Linear and non-linear analyses for semi-elliptical surface cracks in pipes under bending</title><title>The International journal of pressure vessels and piping</title><description>In this paper, the
J integral was calculated for semi-elliptical surface cracks in pipes under bending using three-dimensional finite element analysis. The computations were performed for elastic and elastic-plastic behaviours. For the elastic case, the numerical results allowed the extrapolation of shape functions for analytical determination of the
J integral. The results are in a good agreement with those in the literature if the ratio between the radius and the thickness of the pipe (
R/
t) is from 1 to 10. The analysis was extended to values of the ratio
R/
t higher than 10. For the elastic-plastic, the numerical results are in good agreement with the analytical solution found in the literature for thick pipes (
R/
t ≥ 10). The effect of the ratio
R/
t becomes sensible when the ratio of the applied moment to the moment of reference (
M/Mo
r) exceeds 0.9.</description><subject>Accuracy</subject><subject>Applied sciences</subject><subject>Bending</subject><subject>Exact sciences and technology</subject><subject>Extrapolation</subject><subject>Finite element method</subject><subject>Fracture</subject><subject>Fracture mechanics</subject><subject>Fracture mechanics (crack, fatigue, damage...)</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Inelasticity (thermoplasticity, viscoplasticity...)</subject><subject>J integral</subject><subject>Mathematical analysis</subject><subject>Mechanical engineering. Machine design</subject><subject>Physics</subject><subject>Pipe</subject><subject>Reference stress approach</subject><subject>Semi-elliptical surface cracks</subject><subject>Shape factor function</subject><subject>Solid mechanics</subject><subject>Steel design</subject><subject>Steel tanks and pressure vessels; boiler manufacturing</subject><subject>Structural and continuum mechanics</subject><subject>Surface cracks</subject><issn>0308-0161</issn><issn>1879-3541</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kLtOwzAUhi0EEqXwBCxeEFOCL7k4AwOquEmVWEBisxz7GLmkTrCTSn17XFoYmc5F37n8P0KXlOSU0OpmlbvVsBlyRnYdmhNCj9CMirrJeFnQYzQjnIgsofQUncW4SkBNymqG3pfOgwpYeYN977Put1TdNkLEtg84wtpl0HVuGJ1WHY5TsEoD1kHpz4idx4MbEjt5AwG34I3zH-foxKouwsUhztHbw_3r4ilbvjw-L-6WmeZVOWYFYZw0VlUcUmJLwVlLdKNbqnVZC2utAqNNWVaMMaFqAwQaYXhDG9YQ1fI5ut7vHUL_NUEc5dpFnb5VHvopSiGagtYFqRPJ96QOfYwBrByCW6uwlZTInY1yJX9slDsbJaUyuZSmrg77VUzibVBeu_g3yrhgJS-KxN3uOUhiNw6CjNqB12BcAD1K07t_73wDpFaKFA</recordid><startdate>2011</startdate><enddate>2011</enddate><creator>Mechab, B.</creator><creator>Serier, B.</creator><creator>Bouiadjra, B. Bachir</creator><creator>Kaddouri, K.</creator><creator>Feaugas, X.</creator><general>Elsevier Ltd</general><general>Elsevier</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>KR7</scope></search><sort><creationdate>2011</creationdate><title>Linear and non-linear analyses for semi-elliptical surface cracks in pipes under bending</title><author>Mechab, B. ; Serier, B. ; Bouiadjra, B. Bachir ; Kaddouri, K. ; Feaugas, X.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c365t-402309fa63e230f5832b0c9cb1cc578fffaedcd5562228a7de0e98d3919290ab3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Accuracy</topic><topic>Applied sciences</topic><topic>Bending</topic><topic>Exact sciences and technology</topic><topic>Extrapolation</topic><topic>Finite element method</topic><topic>Fracture</topic><topic>Fracture mechanics</topic><topic>Fracture mechanics (crack, fatigue, damage...)</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Inelasticity (thermoplasticity, viscoplasticity...)</topic><topic>J integral</topic><topic>Mathematical analysis</topic><topic>Mechanical engineering. Machine design</topic><topic>Physics</topic><topic>Pipe</topic><topic>Reference stress approach</topic><topic>Semi-elliptical surface cracks</topic><topic>Shape factor function</topic><topic>Solid mechanics</topic><topic>Steel design</topic><topic>Steel tanks and pressure vessels; boiler manufacturing</topic><topic>Structural and continuum mechanics</topic><topic>Surface cracks</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Mechab, B.</creatorcontrib><creatorcontrib>Serier, B.</creatorcontrib><creatorcontrib>Bouiadjra, B. Bachir</creatorcontrib><creatorcontrib>Kaddouri, K.</creatorcontrib><creatorcontrib>Feaugas, X.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Civil Engineering Abstracts</collection><jtitle>The International journal of pressure vessels and piping</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mechab, B.</au><au>Serier, B.</au><au>Bouiadjra, B. Bachir</au><au>Kaddouri, K.</au><au>Feaugas, X.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Linear and non-linear analyses for semi-elliptical surface cracks in pipes under bending</atitle><jtitle>The International journal of pressure vessels and piping</jtitle><date>2011</date><risdate>2011</risdate><volume>88</volume><issue>1</issue><spage>57</spage><epage>63</epage><pages>57-63</pages><issn>0308-0161</issn><eissn>1879-3541</eissn><coden>PRVPAS</coden><abstract>In this paper, the
J integral was calculated for semi-elliptical surface cracks in pipes under bending using three-dimensional finite element analysis. The computations were performed for elastic and elastic-plastic behaviours. For the elastic case, the numerical results allowed the extrapolation of shape functions for analytical determination of the
J integral. The results are in a good agreement with those in the literature if the ratio between the radius and the thickness of the pipe (
R/
t) is from 1 to 10. The analysis was extended to values of the ratio
R/
t higher than 10. For the elastic-plastic, the numerical results are in good agreement with the analytical solution found in the literature for thick pipes (
R/
t ≥ 10). The effect of the ratio
R/
t becomes sensible when the ratio of the applied moment to the moment of reference (
M/Mo
r) exceeds 0.9.</abstract><cop>Kidlington</cop><pub>Elsevier Ltd</pub><doi>10.1016/j.ijpvp.2010.11.001</doi><tpages>7</tpages></addata></record> |
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subjects | Accuracy Applied sciences Bending Exact sciences and technology Extrapolation Finite element method Fracture Fracture mechanics Fracture mechanics (crack, fatigue, damage...) Fundamental areas of phenomenology (including applications) Inelasticity (thermoplasticity, viscoplasticity...) J integral Mathematical analysis Mechanical engineering. Machine design Physics Pipe Reference stress approach Semi-elliptical surface cracks Shape factor function Solid mechanics Steel design Steel tanks and pressure vessels boiler manufacturing Structural and continuum mechanics Surface cracks |
title | Linear and non-linear analyses for semi-elliptical surface cracks in pipes under bending |
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