Effect of Plastic Anisotropy on the Collapse of a Hollow Disk under Thermal and Mechanical Loading
Plastic anisotropy significantly affects the behavior of structures and machine parts. Given the many parameters that classify a structure made of anisotropic material, analytic and semi-analytic solutions are very useful for parametric analysis and preliminary design of such structures. The present...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-05-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/5/909 |
| _version_ | 1797533438063935488 |
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| author | Elena Lyamina |
| author_facet | Elena Lyamina |
| author_sort | Elena Lyamina |
| collection | DOAJ |
| description | Plastic anisotropy significantly affects the behavior of structures and machine parts. Given the many parameters that classify a structure made of anisotropic material, analytic and semi-analytic solutions are very useful for parametric analysis and preliminary design of such structures. The present paper is devoted to describing the plastic collapse of a thin orthotropic hollow disk inserted into a rigid container. The disk is subject to a uniform temperature field and a uniform pressure is applied over its inner radius. The condition of axial symmetry in conjunction with the assumption of plane stress, permits an exact analytic solution. Two plastic collapse mechanisms exist. One of these mechanisms requires that the entire disk is plastic. According to the other mechanism, plastic deformation localizes at the inner radius of the disk. Additionally, two special solutions are possible. One of these solutions predicts that the entire disk becomes plastic at the initiation of plastic yielding (i.e., plastic yielding simultaneously initiates in the entire disk). The other special solution predicts that the plastic localization occurs at the inner radius of the disk with no plastic region of finite size. An essential difference between the orthotropic and isotropic disks is that plastic yielding might initiate at the outer radius of the orthotropic disk. |
| first_indexed | 2024-03-10T11:14:32Z |
| format | Article |
| id | doaj.art-c3e4a608af5f4be588c05b7140d6e190 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T11:14:32Z |
| publishDate | 2021-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-c3e4a608af5f4be588c05b7140d6e1902023-11-21T20:32:01ZengMDPI AGSymmetry2073-89942021-05-0113590910.3390/sym13050909Effect of Plastic Anisotropy on the Collapse of a Hollow Disk under Thermal and Mechanical LoadingElena Lyamina0Metal Forming Department, Samara National Research University, 34 Moskovskoye Shosse, 443086 Samara, RussiaPlastic anisotropy significantly affects the behavior of structures and machine parts. Given the many parameters that classify a structure made of anisotropic material, analytic and semi-analytic solutions are very useful for parametric analysis and preliminary design of such structures. The present paper is devoted to describing the plastic collapse of a thin orthotropic hollow disk inserted into a rigid container. The disk is subject to a uniform temperature field and a uniform pressure is applied over its inner radius. The condition of axial symmetry in conjunction with the assumption of plane stress, permits an exact analytic solution. Two plastic collapse mechanisms exist. One of these mechanisms requires that the entire disk is plastic. According to the other mechanism, plastic deformation localizes at the inner radius of the disk. Additionally, two special solutions are possible. One of these solutions predicts that the entire disk becomes plastic at the initiation of plastic yielding (i.e., plastic yielding simultaneously initiates in the entire disk). The other special solution predicts that the plastic localization occurs at the inner radius of the disk with no plastic region of finite size. An essential difference between the orthotropic and isotropic disks is that plastic yielding might initiate at the outer radius of the orthotropic disk.https://www.mdpi.com/2073-8994/13/5/909plastic anisotropythin diskcollapsethermomechanical loadingexact solution |
| spellingShingle | Elena Lyamina Effect of Plastic Anisotropy on the Collapse of a Hollow Disk under Thermal and Mechanical Loading Symmetry plastic anisotropy thin disk collapse thermomechanical loading exact solution |
| title | Effect of Plastic Anisotropy on the Collapse of a Hollow Disk under Thermal and Mechanical Loading |
| title_full | Effect of Plastic Anisotropy on the Collapse of a Hollow Disk under Thermal and Mechanical Loading |
| title_fullStr | Effect of Plastic Anisotropy on the Collapse of a Hollow Disk under Thermal and Mechanical Loading |
| title_full_unstemmed | Effect of Plastic Anisotropy on the Collapse of a Hollow Disk under Thermal and Mechanical Loading |
| title_short | Effect of Plastic Anisotropy on the Collapse of a Hollow Disk under Thermal and Mechanical Loading |
| title_sort | effect of plastic anisotropy on the collapse of a hollow disk under thermal and mechanical loading |
| topic | plastic anisotropy thin disk collapse thermomechanical loading exact solution |
| url | https://www.mdpi.com/2073-8994/13/5/909 |
| work_keys_str_mv | AT elenalyamina effectofplasticanisotropyonthecollapseofahollowdiskunderthermalandmechanicalloading |