QUASIBRITLE FRACTURE OF SMOOTH SHAFTS UNDER TORSION
The initiation of an annular longitudinal edge shear crack (III fracture mode) during torsion of a circular cross-section bar made of an elastoplastic material with ultimate strain is considered. The fracture process of such materials is described using a modified Leonov–Panasyuk–Dugdale model, whic...
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| Veröffentlicht in: | Journal of applied mechanics and technical physics 2022-06, Vol.63 (3), p.542-551 |
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| container_title | Journal of applied mechanics and technical physics |
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| creator | Kurguzov, V. D. |
| description | The initiation of an annular longitudinal edge shear crack (III fracture mode) during torsion of a circular cross-section bar made of an elastoplastic material with ultimate strain is considered. The fracture process of such materials is described using a modified Leonov–Panasyuk–Dugdale model, which uses an additional parameter—the diameter of the plastic zone (the width of the prefracture zone). To obtain the critical parameters of quasibrittle fracture, a coupled (sufficient) strength criterion for mode III cracks in an elastoplastic material is proposed. Diagrams of quasibrittle fracture of a circular shaft with an edge crack are plotted. For quasiductile and ductile types of fracture, the ultimate loads are found numerically by the finite element method. The difference between the numerical and analytical models is that the characteristics of the investigated materials correspond to the deformation modes in full-scale yielding. It is found that the results of numerical experiments are in good agreement with the results of calculations using the analytical model of fracture of specimens during torsion in the small-scale plastic yielding mode. |
| doi_str_mv | 10.1134/S0021894422030191 |
| format | Article |
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D.</creator><creatorcontrib>Kurguzov, V. D.</creatorcontrib><description>The initiation of an annular longitudinal edge shear crack (III fracture mode) during torsion of a circular cross-section bar made of an elastoplastic material with ultimate strain is considered. The fracture process of such materials is described using a modified Leonov–Panasyuk–Dugdale model, which uses an additional parameter—the diameter of the plastic zone (the width of the prefracture zone). To obtain the critical parameters of quasibrittle fracture, a coupled (sufficient) strength criterion for mode III cracks in an elastoplastic material is proposed. Diagrams of quasibrittle fracture of a circular shaft with an edge crack are plotted. For quasiductile and ductile types of fracture, the ultimate loads are found numerically by the finite element method. The difference between the numerical and analytical models is that the characteristics of the investigated materials correspond to the deformation modes in full-scale yielding. It is found that the results of numerical experiments are in good agreement with the results of calculations using the analytical model of fracture of specimens during torsion in the small-scale plastic yielding mode.</description><identifier>ISSN: 0021-8944</identifier><identifier>EISSN: 1573-8620</identifier><identifier>DOI: 10.1134/S0021894422030191</identifier><language>eng</language><publisher>Moscow: Pleiades Publishing</publisher><subject>Applications of Mathematics ; Classical and Continuum Physics ; Classical Mechanics ; Crack initiation ; Ductile fracture ; Edge cracks ; Elastoplasticity ; Finite element method ; Fluid- and Aerodynamics ; Mathematical Modeling and Industrial Mathematics ; Mathematical models ; Mechanical Engineering ; Parameter modification ; Physics ; Physics and Astronomy ; Plastic zones ; Ultimate loads</subject><ispartof>Journal of applied mechanics and technical physics, 2022-06, Vol.63 (3), p.542-551</ispartof><rights>Pleiades Publishing, Ltd. 2022</rights><rights>Pleiades Publishing, Ltd. 2022.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c198t-f687a20432dcfb6a5373ac42abbc7af680ca39f9583e8a6cf136126017d61d023</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1134/S0021894422030191$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1134/S0021894422030191$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kurguzov, V. D.</creatorcontrib><title>QUASIBRITLE FRACTURE OF SMOOTH SHAFTS UNDER TORSION</title><title>Journal of applied mechanics and technical physics</title><addtitle>J Appl Mech Tech Phy</addtitle><description>The initiation of an annular longitudinal edge shear crack (III fracture mode) during torsion of a circular cross-section bar made of an elastoplastic material with ultimate strain is considered. The fracture process of such materials is described using a modified Leonov–Panasyuk–Dugdale model, which uses an additional parameter—the diameter of the plastic zone (the width of the prefracture zone). To obtain the critical parameters of quasibrittle fracture, a coupled (sufficient) strength criterion for mode III cracks in an elastoplastic material is proposed. Diagrams of quasibrittle fracture of a circular shaft with an edge crack are plotted. For quasiductile and ductile types of fracture, the ultimate loads are found numerically by the finite element method. The difference between the numerical and analytical models is that the characteristics of the investigated materials correspond to the deformation modes in full-scale yielding. It is found that the results of numerical experiments are in good agreement with the results of calculations using the analytical model of fracture of specimens during torsion in the small-scale plastic yielding mode.</description><subject>Applications of Mathematics</subject><subject>Classical and Continuum Physics</subject><subject>Classical Mechanics</subject><subject>Crack initiation</subject><subject>Ductile fracture</subject><subject>Edge cracks</subject><subject>Elastoplasticity</subject><subject>Finite element method</subject><subject>Fluid- and Aerodynamics</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematical models</subject><subject>Mechanical Engineering</subject><subject>Parameter modification</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Plastic zones</subject><subject>Ultimate loads</subject><issn>0021-8944</issn><issn>1573-8620</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kEtPg0AUhSdGE2v1B7gjcY3eOwPzWCKCJakl8liTYQBjo22daRf990Jq4sK4uovznXNyDyG3CPeILHgoAShKFQSUAgNUeEZmGArmS07hnMwm2Z_0S3Ll3BoAlEQxI-y1jsrssciqZeKlRRRXdZF4eeqVL3leLbxyEaVV6dWrp6Twqrwos3x1TS4G_eH6m587J3WaVPHCX-bPWRwtfYNK7v2BS6EpBIx2Zmi5Dplg2gRUt60RelTBaKYGFUrWS83NgIwj5YCi49gBZXNyd8rd2e3XoXf7Zr092M1Y2VAxfq1CReVI4Ykyduuc7YdmZ98_tT02CM20TfNnm9FDTx43spu33v4m_2_6BrUWXxY</recordid><startdate>20220601</startdate><enddate>20220601</enddate><creator>Kurguzov, V. D.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20220601</creationdate><title>QUASIBRITLE FRACTURE OF SMOOTH SHAFTS UNDER TORSION</title><author>Kurguzov, V. D.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c198t-f687a20432dcfb6a5373ac42abbc7af680ca39f9583e8a6cf136126017d61d023</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Applications of Mathematics</topic><topic>Classical and Continuum Physics</topic><topic>Classical Mechanics</topic><topic>Crack initiation</topic><topic>Ductile fracture</topic><topic>Edge cracks</topic><topic>Elastoplasticity</topic><topic>Finite element method</topic><topic>Fluid- and Aerodynamics</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematical models</topic><topic>Mechanical Engineering</topic><topic>Parameter modification</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Plastic zones</topic><topic>Ultimate loads</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kurguzov, V. D.</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of applied mechanics and technical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kurguzov, V. D.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>QUASIBRITLE FRACTURE OF SMOOTH SHAFTS UNDER TORSION</atitle><jtitle>Journal of applied mechanics and technical physics</jtitle><stitle>J Appl Mech Tech Phy</stitle><date>2022-06-01</date><risdate>2022</risdate><volume>63</volume><issue>3</issue><spage>542</spage><epage>551</epage><pages>542-551</pages><issn>0021-8944</issn><eissn>1573-8620</eissn><abstract>The initiation of an annular longitudinal edge shear crack (III fracture mode) during torsion of a circular cross-section bar made of an elastoplastic material with ultimate strain is considered. The fracture process of such materials is described using a modified Leonov–Panasyuk–Dugdale model, which uses an additional parameter—the diameter of the plastic zone (the width of the prefracture zone). To obtain the critical parameters of quasibrittle fracture, a coupled (sufficient) strength criterion for mode III cracks in an elastoplastic material is proposed. Diagrams of quasibrittle fracture of a circular shaft with an edge crack are plotted. For quasiductile and ductile types of fracture, the ultimate loads are found numerically by the finite element method. The difference between the numerical and analytical models is that the characteristics of the investigated materials correspond to the deformation modes in full-scale yielding. It is found that the results of numerical experiments are in good agreement with the results of calculations using the analytical model of fracture of specimens during torsion in the small-scale plastic yielding mode.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0021894422030191</doi><tpages>10</tpages></addata></record> |
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| ispartof | Journal of applied mechanics and technical physics, 2022-06, Vol.63 (3), p.542-551 |
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| subjects | Applications of Mathematics Classical and Continuum Physics Classical Mechanics Crack initiation Ductile fracture Edge cracks Elastoplasticity Finite element method Fluid- and Aerodynamics Mathematical Modeling and Industrial Mathematics Mathematical models Mechanical Engineering Parameter modification Physics Physics and Astronomy Plastic zones Ultimate loads |
| title | QUASIBRITLE FRACTURE OF SMOOTH SHAFTS UNDER TORSION |
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