Deformation and Long-Term Strength of a Thick-Walled Tube of a Physically Non-Linear Viscoelastic Material under Constant Pressure
An exact solution is constructed for the problem of creep and fracture of a hollow cylinder made of a physically nonlinear rheonomic isotropic incompressible material, which obeys Rabotnov’s constitutive viscoelasticity relation with two arbitrary material functions, under the action of internal and...
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Veröffentlicht in: | Russian metallurgy Metally 2020-10, Vol.2020 (10), p.1079-1087 |
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description | An exact solution is constructed for the problem of creep and fracture of a hollow cylinder made of a physically nonlinear rheonomic isotropic incompressible material, which obeys Rabotnov’s constitutive viscoelasticity relation with two arbitrary material functions, under the action of internal and external pressures. Сlosed form equations for long-term strength curves are derived using three versions of a deformation fracture criterion, and the strain intensity, the maximum shear strain, or the maximum tensile strain is chosen as the measure of damage. Their properties are analytically investigated for arbitrary material functions of the constitutive relation. |
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V.</creator><creatorcontrib>Khokhlov, A. V.</creatorcontrib><description>An exact solution is constructed for the problem of creep and fracture of a hollow cylinder made of a physically nonlinear rheonomic isotropic incompressible material, which obeys Rabotnov’s constitutive viscoelasticity relation with two arbitrary material functions, under the action of internal and external pressures. Сlosed form equations for long-term strength curves are derived using three versions of a deformation fracture criterion, and the strain intensity, the maximum shear strain, or the maximum tensile strain is chosen as the measure of damage. 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V.</creatorcontrib><title>Deformation and Long-Term Strength of a Thick-Walled Tube of a Physically Non-Linear Viscoelastic Material under Constant Pressure</title><title>Russian metallurgy Metally</title><addtitle>Russ. Metall</addtitle><description>An exact solution is constructed for the problem of creep and fracture of a hollow cylinder made of a physically nonlinear rheonomic isotropic incompressible material, which obeys Rabotnov’s constitutive viscoelasticity relation with two arbitrary material functions, under the action of internal and external pressures. Сlosed form equations for long-term strength curves are derived using three versions of a deformation fracture criterion, and the strain intensity, the maximum shear strain, or the maximum tensile strain is chosen as the measure of damage. Their properties are analytically investigated for arbitrary material functions of the constitutive relation.</description><subject>Chemistry and Materials Science</subject><subject>Constitutive relationships</subject><subject>Creep (materials)</subject><subject>Deformation</subject><subject>Deformation and Fracture Mechanics</subject><subject>Exact solutions</subject><subject>External pressure</subject><subject>Isotropic material</subject><subject>Materials Science</subject><subject>Metallic Materials</subject><subject>Shear strain</subject><subject>Tensile strain</subject><subject>Viscoelasticity</subject><issn>0036-0295</issn><issn>1555-6255</issn><issn>1531-8648</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2020</creationdate><recordtype>article</recordtype><recordid>eNp1UMtKw0AUHUTBWv0AdwOuo3cm76XUJ0QtNOoy3CQ3bWo6U2cmi279clMiuBBXF87rcg5j5wIuhfCDqwWAH4FMQwkCQEh5wCYiDEMvkmF4yCZ72tvzx-zE2jVADBClE_Z1Q402G3StVhxVzTOtll5OZsMXzpBauhXXDUeer9rqw3vHrqOa531JIzxf7WxbDeiOP2vlZa0iNPyttZWmDq1rK_6EjkyLHe9VTYbPtLIOleNzQ9b2hk7ZUYOdpbOfO2Wvd7f57MHLXu4fZ9eZV_kicp6MwpqwFlA1oiwDCBJZCqwRI7-BZqgWY5OGSBJSmdRBijGSCFIKknoYSKb-lF2MuVujP3uyrljr3qjhZSGD2E9AJFE8qMSoqoy21lBTbE27QbMrBBT7qYs_Uw8eOXrsoFVLMr_J_5u-AVRLgIs</recordid><startdate>20201001</startdate><enddate>20201001</enddate><creator>Khokhlov, A. V.</creator><general>Pleiades Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8BQ</scope><scope>8FD</scope><scope>JG9</scope></search><sort><creationdate>20201001</creationdate><title>Deformation and Long-Term Strength of a Thick-Walled Tube of a Physically Non-Linear Viscoelastic Material under Constant Pressure</title><author>Khokhlov, A. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-265dead10cf1bb40482b1adaa63f0f0297af95ae20928d49a7ae149e48d134293</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Chemistry and Materials Science</topic><topic>Constitutive relationships</topic><topic>Creep (materials)</topic><topic>Deformation</topic><topic>Deformation and Fracture Mechanics</topic><topic>Exact solutions</topic><topic>External pressure</topic><topic>Isotropic material</topic><topic>Materials Science</topic><topic>Metallic Materials</topic><topic>Shear strain</topic><topic>Tensile strain</topic><topic>Viscoelasticity</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Khokhlov, A. V.</creatorcontrib><collection>CrossRef</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Materials Research Database</collection><jtitle>Russian metallurgy Metally</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Khokhlov, A. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Deformation and Long-Term Strength of a Thick-Walled Tube of a Physically Non-Linear Viscoelastic Material under Constant Pressure</atitle><jtitle>Russian metallurgy Metally</jtitle><stitle>Russ. Metall</stitle><date>2020-10-01</date><risdate>2020</risdate><volume>2020</volume><issue>10</issue><spage>1079</spage><epage>1087</epage><pages>1079-1087</pages><issn>0036-0295</issn><eissn>1555-6255</eissn><eissn>1531-8648</eissn><abstract>An exact solution is constructed for the problem of creep and fracture of a hollow cylinder made of a physically nonlinear rheonomic isotropic incompressible material, which obeys Rabotnov’s constitutive viscoelasticity relation with two arbitrary material functions, under the action of internal and external pressures. Сlosed form equations for long-term strength curves are derived using three versions of a deformation fracture criterion, and the strain intensity, the maximum shear strain, or the maximum tensile strain is chosen as the measure of damage. Their properties are analytically investigated for arbitrary material functions of the constitutive relation.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.1134/S0036029520100122</doi><tpages>9</tpages></addata></record> |
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subjects | Chemistry and Materials Science Constitutive relationships Creep (materials) Deformation Deformation and Fracture Mechanics Exact solutions External pressure Isotropic material Materials Science Metallic Materials Shear strain Tensile strain Viscoelasticity |
title | Deformation and Long-Term Strength of a Thick-Walled Tube of a Physically Non-Linear Viscoelastic Material under Constant Pressure |
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