Mathematical modeling and simulation of the coupled strain space thermoplasticity problems
Using the strain space thermoplasticity theory, proposed by the first author, the coupled dynamic thermomechanical boundary value problems are formulated. The strain space thermoplasticity theory, in contrast to the existing one, allows to formulate the coupled thermoplastic boundary value problems...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81296/ http://psasir.upm.edu.my/id/eprint/81296/1/STRAIN.pdf |
| _version_ | 1848859070513020928 |
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| author | A.A., Khaldjigitov Y.S., Yusupov Rasedee, Ahmad Fadly Nurullah Nik Long, Nik Mohd Asri |
| author_facet | A.A., Khaldjigitov Y.S., Yusupov Rasedee, Ahmad Fadly Nurullah Nik Long, Nik Mohd Asri |
| author_sort | A.A., Khaldjigitov |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Using the strain space thermoplasticity theory, proposed by the first author, the coupled dynamic thermomechanical boundary value problems are formulated. The strain space thermoplasticity theory, in contrast to the existing one, allows to formulate the coupled thermoplastic boundary value problems for the displacement and temperature increments. The explicit and implicit finite difference equations for two dimensions case of the boundary value problems are constructed. The numerical solution of the explicit finite difference equations reduced to the application of the recurrent formulas, whereas the implicit scheme reduced to the application of the elimination method. Comparison shows that the numerical results obtained using the explicit and implicit schemes for aforementioned methods are coincides. |
| first_indexed | 2025-11-15T12:23:30Z |
| format | Article |
| id | upm-81296 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:23:30Z |
| publishDate | 2019 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-812962021-06-15T23:46:12Z http://psasir.upm.edu.my/id/eprint/81296/ Mathematical modeling and simulation of the coupled strain space thermoplasticity problems A.A., Khaldjigitov Y.S., Yusupov Rasedee, Ahmad Fadly Nurullah Nik Long, Nik Mohd Asri Using the strain space thermoplasticity theory, proposed by the first author, the coupled dynamic thermomechanical boundary value problems are formulated. The strain space thermoplasticity theory, in contrast to the existing one, allows to formulate the coupled thermoplastic boundary value problems for the displacement and temperature increments. The explicit and implicit finite difference equations for two dimensions case of the boundary value problems are constructed. The numerical solution of the explicit finite difference equations reduced to the application of the recurrent formulas, whereas the implicit scheme reduced to the application of the elimination method. Comparison shows that the numerical results obtained using the explicit and implicit schemes for aforementioned methods are coincides. IOP Publishing 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81296/1/STRAIN.pdf A.A., Khaldjigitov and Y.S., Yusupov and Rasedee, Ahmad Fadly Nurullah and Nik Long, Nik Mohd Asri (2019) Mathematical modeling and simulation of the coupled strain space thermoplasticity problems. Journal of Physics: Conference Series, 1212. pp. 1-11. ISSN 1742-6588; ESSN: 1742-6596 https://iopscience.iop.org/article/10.1088/1742-6596/1212/1/012023 10.1088/1742-6596/1212/1/012023 |
| spellingShingle | A.A., Khaldjigitov Y.S., Yusupov Rasedee, Ahmad Fadly Nurullah Nik Long, Nik Mohd Asri Mathematical modeling and simulation of the coupled strain space thermoplasticity problems |
| title | Mathematical modeling and simulation of the coupled strain space thermoplasticity problems |
| title_full | Mathematical modeling and simulation of the coupled strain space thermoplasticity problems |
| title_fullStr | Mathematical modeling and simulation of the coupled strain space thermoplasticity problems |
| title_full_unstemmed | Mathematical modeling and simulation of the coupled strain space thermoplasticity problems |
| title_short | Mathematical modeling and simulation of the coupled strain space thermoplasticity problems |
| title_sort | mathematical modeling and simulation of the coupled strain space thermoplasticity problems |
| url | http://psasir.upm.edu.my/id/eprint/81296/ http://psasir.upm.edu.my/id/eprint/81296/ http://psasir.upm.edu.my/id/eprint/81296/ http://psasir.upm.edu.my/id/eprint/81296/1/STRAIN.pdf |