The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEM
The relations between stresses and strains, stress and strain increments of a deformable body with nonlinear elastic properties were obtained on the basis of the hypotheses about the proportionality of the components of stress and strain deviators, as well as the components of stress and strain incr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Kazan Federal University
2015-06-01
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| Series: | Учёные записки Казанского университета. Серия Физико-математические науки |
| Subjects: | |
| Online Access: | https://kpfu.ru/portal/docs/F_1929918699/157_2_phys_mat_3.pdf |
| _version_ | 1797859139895951360 |
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| author | N.A. Gureeva Yu.V. Klotchkov A.P. Nikolaev |
| author_facet | N.A. Gureeva Yu.V. Klotchkov A.P. Nikolaev |
| author_sort | N.A. Gureeva |
| collection | DOAJ |
| description | The relations between stresses and strains, stress and strain increments of a deformable body with nonlinear elastic properties were obtained on the basis of the hypotheses about the proportionality of the components of stress and strain deviators, as well as the components of stress and strain increment deviators. The obtained relations were implemented in a mixed version of the finite element method to calculate the nonlinear elastic deformable rotation shells subjected to axisymmetric loading. |
| first_indexed | 2024-04-09T21:24:39Z |
| format | Article |
| id | doaj.art-3769bde0d3bd4999a5dbe2ce9e60b631 |
| institution | Directory Open Access Journal |
| issn | 2541-7746 2500-2198 |
| language | English |
| last_indexed | 2024-04-09T21:24:39Z |
| publishDate | 2015-06-01 |
| publisher | Kazan Federal University |
| record_format | Article |
| series | Учёные записки Казанского университета. Серия Физико-математические науки |
| spelling | doaj.art-3769bde0d3bd4999a5dbe2ce9e60b6312023-03-27T16:32:56ZengKazan Federal UniversityУчёные записки Казанского университета. Серия Физико-математические науки2541-77462500-21982015-06-0115722839The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEMN.A. Gureeva0Yu.V. Klotchkov1A.P. Nikolaev2Volgograd State Agricultural University, Volgograd, 400002 RussiaVolgograd State Agricultural University, Volgograd, 400002 RussiaVolgograd State Agricultural University, Volgograd, 400002 RussiaThe relations between stresses and strains, stress and strain increments of a deformable body with nonlinear elastic properties were obtained on the basis of the hypotheses about the proportionality of the components of stress and strain deviators, as well as the components of stress and strain increment deviators. The obtained relations were implemented in a mixed version of the finite element method to calculate the nonlinear elastic deformable rotation shells subjected to axisymmetric loading.https://kpfu.ru/portal/docs/F_1929918699/157_2_phys_mat_3.pdfvector approximationtensor approximationvector fieldtensor fieldmixed formulationvariational principle |
| spellingShingle | N.A. Gureeva Yu.V. Klotchkov A.P. Nikolaev The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEM Учёные записки Казанского университета. Серия Физико-математические науки vector approximation tensor approximation vector field tensor field mixed formulation variational principle |
| title | The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEM |
| title_full | The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEM |
| title_fullStr | The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEM |
| title_full_unstemmed | The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEM |
| title_short | The Defining Relations for Nonlinear Elastic Bodies and Their Implementation in the Calculation of the Rotation Shells Subjected to Axisymmetric Loading Based on the Mixed FEM |
| title_sort | defining relations for nonlinear elastic bodies and their implementation in the calculation of the rotation shells subjected to axisymmetric loading based on the mixed fem |
| topic | vector approximation tensor approximation vector field tensor field mixed formulation variational principle |
| url | https://kpfu.ru/portal/docs/F_1929918699/157_2_phys_mat_3.pdf |
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