A comparative analysis of grain-scale stress and strain fields in two- and three-dimensional polycrystals
The results of a comparative analysis of the stress-strain patterns observed in two- and three-dimensional polycrystalline models under uniaxial tension are presented and discussed. The 3D polycrystalline structure is generated using a step-by-step packing method. Finite-difference calculations of u...
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description | The results of a comparative analysis of the stress-strain patterns observed in two- and three-dimensional polycrystalline models under uniaxial tension are presented and discussed. The 3D polycrystalline structure is generated using a step-by-step packing method. Finite-difference calculations of uniaxial tension are carried out for the 3D model and some selected sections located at different depth below the surface. In the latter case, calculations are performed in terms of plane strain and plane stress. Stress and strain fields in 2D and 3D models are compared on the meso- and macroscales. It is found that the 2D approximations impose certain restrictions on the use and interpretation of the results obtained. |
doi_str_mv | 10.1063/5.0034301 |
format | Conference Proceeding |
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A. ; Balokhonov, R. R. ; Dymnich, E.</creator><contributor>Panin, Victor E ; Fomin, Vasily M</contributor><creatorcontrib>Romanova, V. A. ; Balokhonov, R. R. ; Dymnich, E. ; Panin, Victor E ; Fomin, Vasily M</creatorcontrib><description>The results of a comparative analysis of the stress-strain patterns observed in two- and three-dimensional polycrystalline models under uniaxial tension are presented and discussed. The 3D polycrystalline structure is generated using a step-by-step packing method. Finite-difference calculations of uniaxial tension are carried out for the 3D model and some selected sections located at different depth below the surface. In the latter case, calculations are performed in terms of plane strain and plane stress. Stress and strain fields in 2D and 3D models are compared on the meso- and macroscales. It is found that the 2D approximations impose certain restrictions on the use and interpretation of the results obtained.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/5.0034301</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Comparative analysis ; Finite difference method ; Plane strain ; Plane stress ; Polycrystals ; Three dimensional models ; Two dimensional models</subject><ispartof>AIP Conference Proceedings, 2020, Vol.2310 (1)</ispartof><rights>Author(s)</rights><rights>2020 Author(s). 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R.</creatorcontrib><creatorcontrib>Dymnich, E.</creatorcontrib><title>A comparative analysis of grain-scale stress and strain fields in two- and three-dimensional polycrystals</title><title>AIP Conference Proceedings</title><description>The results of a comparative analysis of the stress-strain patterns observed in two- and three-dimensional polycrystalline models under uniaxial tension are presented and discussed. The 3D polycrystalline structure is generated using a step-by-step packing method. Finite-difference calculations of uniaxial tension are carried out for the 3D model and some selected sections located at different depth below the surface. In the latter case, calculations are performed in terms of plane strain and plane stress. Stress and strain fields in 2D and 3D models are compared on the meso- and macroscales. It is found that the 2D approximations impose certain restrictions on the use and interpretation of the results obtained.</description><subject>Comparative analysis</subject><subject>Finite difference method</subject><subject>Plane strain</subject><subject>Plane stress</subject><subject>Polycrystals</subject><subject>Three dimensional models</subject><subject>Two dimensional models</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2020</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp9UE1LAzEUDKJgrR78BwFvQmqyySbZYyl-QcGLgrclmw9N2W7WJK3035vagjdPM7yZN7w3AFwTPCOY07t6hjFlFJMTMCF1TZDghJ-CCcYNQxWj7-fgIqUVxlUjhJwAP4c6rEcVVfZbC9Wg-l3yCQYHP6LyA0pa9RamHG1KRTZ7WubQedubBAvL3wH9KvkzWouMX9sh-VCS4Bj6nY67lFWfLsGZK2CvjjgFbw_3r4sntHx5fF7Ml2ispMyI0KpyGpNOdbxrKmYkw5aJBjtBpVSKNK5jykgtOo5JLaQzsmu0I9ZoKjmjU3BzyB1j-NrYlNtV2MRyTWorxhspOC5FTcHtwZW0z-X3MLRj9GsVd-02xLZujzW2o3H_mQlu973_LdAfeNh1zQ</recordid><startdate>20201214</startdate><enddate>20201214</enddate><creator>Romanova, V. 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R. ; Dymnich, E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p288t-1322fc01bab6b924d840e4790f7388aa19fb4ad8c7b601578fd8b9cf1edc38643</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2020</creationdate><topic>Comparative analysis</topic><topic>Finite difference method</topic><topic>Plane strain</topic><topic>Plane stress</topic><topic>Polycrystals</topic><topic>Three dimensional models</topic><topic>Two dimensional models</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Romanova, V. A.</creatorcontrib><creatorcontrib>Balokhonov, R. R.</creatorcontrib><creatorcontrib>Dymnich, E.</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Romanova, V. A.</au><au>Balokhonov, R. R.</au><au>Dymnich, E.</au><au>Panin, Victor E</au><au>Fomin, Vasily M</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>A comparative analysis of grain-scale stress and strain fields in two- and three-dimensional polycrystals</atitle><btitle>AIP Conference Proceedings</btitle><date>2020-12-14</date><risdate>2020</risdate><volume>2310</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>The results of a comparative analysis of the stress-strain patterns observed in two- and three-dimensional polycrystalline models under uniaxial tension are presented and discussed. The 3D polycrystalline structure is generated using a step-by-step packing method. Finite-difference calculations of uniaxial tension are carried out for the 3D model and some selected sections located at different depth below the surface. In the latter case, calculations are performed in terms of plane strain and plane stress. Stress and strain fields in 2D and 3D models are compared on the meso- and macroscales. It is found that the 2D approximations impose certain restrictions on the use and interpretation of the results obtained.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/5.0034301</doi><tpages>4</tpages><oa>free_for_read</oa></addata></record> |
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subjects | Comparative analysis Finite difference method Plane strain Plane stress Polycrystals Three dimensional models Two dimensional models |
title | A comparative analysis of grain-scale stress and strain fields in two- and three-dimensional polycrystals |
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