Dynamics of Unloading and Elastic Waves in a Medium with Accumulated Plastic Pre-Deformations
Approaches that allow one to describe the elastic dynamics of a medium (including unloading and elastic loading) in the presence of irreversible pre-deformations are proposed for a model of large elastoplastic deformations. Formulas based on a rotation tensor are obtained for calculating the redistr...
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| Veröffentlicht in: | Mechanics of solids 2019-07, Vol.54 (4), p.523-532 |
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| creator | Dudko, O. V. Ragozina, V. E. |
| description | Approaches that allow one to describe the elastic dynamics of a medium (including unloading and elastic loading) in the presence of irreversible pre-deformations are proposed for a model of large elastoplastic deformations. Formulas based on a rotation tensor are obtained for calculating the redistribution of plastic strains. For dynamic elastic processes generating shock waves in an elastoplastic medium, the possible rates and types of plane shock waves are determined. It is shown that elastic shock waves create jumps in the field of plastic pre-deformations. Relations for calculating such discontinuities are obtained. The main properties of modeling self-similar solutions taking into account the proposed approach to the description of the kinematics of the medium and the possibility of distinguishing between elastic and plastic strains are considered. |
| doi_str_mv | 10.3103/S0025654419040046 |
| format | Article |
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V. ; Ragozina, V. E.</creator><creatorcontrib>Dudko, O. V. ; Ragozina, V. E.</creatorcontrib><description>Approaches that allow one to describe the elastic dynamics of a medium (including unloading and elastic loading) in the presence of irreversible pre-deformations are proposed for a model of large elastoplastic deformations. Formulas based on a rotation tensor are obtained for calculating the redistribution of plastic strains. For dynamic elastic processes generating shock waves in an elastoplastic medium, the possible rates and types of plane shock waves are determined. It is shown that elastic shock waves create jumps in the field of plastic pre-deformations. Relations for calculating such discontinuities are obtained. 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V.</creatorcontrib><creatorcontrib>Ragozina, V. E.</creatorcontrib><title>Dynamics of Unloading and Elastic Waves in a Medium with Accumulated Plastic Pre-Deformations</title><title>Mechanics of solids</title><addtitle>Mech. Solids</addtitle><description>Approaches that allow one to describe the elastic dynamics of a medium (including unloading and elastic loading) in the presence of irreversible pre-deformations are proposed for a model of large elastoplastic deformations. Formulas based on a rotation tensor are obtained for calculating the redistribution of plastic strains. For dynamic elastic processes generating shock waves in an elastoplastic medium, the possible rates and types of plane shock waves are determined. It is shown that elastic shock waves create jumps in the field of plastic pre-deformations. Relations for calculating such discontinuities are obtained. The main properties of modeling self-similar solutions taking into account the proposed approach to the description of the kinematics of the medium and the possibility of distinguishing between elastic and plastic strains are considered.</description><subject>Classical Mechanics</subject><subject>Elastic deformation</subject><subject>Elastic waves</subject><subject>Elastoplasticity</subject><subject>Kinematics</subject><subject>Loads (forces)</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Self-similarity</subject><subject>Shock waves</subject><subject>Tensors</subject><issn>0025-6544</issn><issn>1934-7936</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1kEtLw0AcxBdRsFY_gLcFz9H_PpMcS-sLKha0eJKw3Ufd0mzqbqL025vSggfxNIf5zQwMQpcErhkBdvMCQIUUnJMSOACXR2hASsazvGTyGA12drbzT9FZSisACZSSAXqfbIOqvU64cXge1o0yPiyxCgbfrlVqvcZv6ssm7ANW-Mka39X427cfeKR1V3dr1VqDZwd0Fm02sa6JtWp9E9I5OnFqnezFQYdofnf7On7Ips_3j-PRNNOMyDYrqcs5LYxQwkjOYFGSBRAjCJMLaS3kuizAOSVykWsuqLKkYNJBIQtDLZRsiK72vZvYfHY2tdWq6WLoJyvKRA8U_U5PkT2lY5NStK7aRF-ruK0IVLsXqz8v9hm6z6SeDUsbf5v_D_0ABwByPw</recordid><startdate>20190701</startdate><enddate>20190701</enddate><creator>Dudko, O. 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E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c316t-92f7428d5a5d6430b91b01d5136b6ee07c980ffa5757c452ae1836f0868d2e093</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Classical Mechanics</topic><topic>Elastic deformation</topic><topic>Elastic waves</topic><topic>Elastoplasticity</topic><topic>Kinematics</topic><topic>Loads (forces)</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Self-similarity</topic><topic>Shock waves</topic><topic>Tensors</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Dudko, O. V.</creatorcontrib><creatorcontrib>Ragozina, V. E.</creatorcontrib><collection>CrossRef</collection><jtitle>Mechanics of solids</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Dudko, O. V.</au><au>Ragozina, V. 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It is shown that elastic shock waves create jumps in the field of plastic pre-deformations. Relations for calculating such discontinuities are obtained. The main properties of modeling self-similar solutions taking into account the proposed approach to the description of the kinematics of the medium and the possibility of distinguishing between elastic and plastic strains are considered.</abstract><cop>Moscow</cop><pub>Pleiades Publishing</pub><doi>10.3103/S0025654419040046</doi><tpages>10</tpages></addata></record> |
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| ispartof | Mechanics of solids, 2019-07, Vol.54 (4), p.523-532 |
| issn | 0025-6544 1934-7936 |
| language | eng |
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| source | SpringerNature Journals |
| subjects | Classical Mechanics Elastic deformation Elastic waves Elastoplasticity Kinematics Loads (forces) Physics Physics and Astronomy Self-similarity Shock waves Tensors |
| title | Dynamics of Unloading and Elastic Waves in a Medium with Accumulated Plastic Pre-Deformations |
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