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...

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Main Authors: A.A., Khaldjigitov, Y.S., Yusupov, Rasedee, Ahmad Fadly Nurullah, Nik Long, Nik Mohd Asri
Format: Article
Language:English
Published: IOP Publishing 2019
Online Access:http://psasir.upm.edu.my/id/eprint/81296/1/STRAIN.pdf
http://psasir.upm.edu.my/id/eprint/81296/
https://iopscience.iop.org/article/10.1088/1742-6596/1212/1/012023
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spelling my.upm.eprints.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
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
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.
format Article
author A.A., Khaldjigitov
Y.S., Yusupov
Rasedee, Ahmad Fadly Nurullah
Nik Long, Nik Mohd Asri
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
author_facet A.A., Khaldjigitov
Y.S., Yusupov
Rasedee, Ahmad Fadly Nurullah
Nik Long, Nik Mohd Asri
author_sort A.A., Khaldjigitov
title 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_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_sort mathematical modeling and simulation of the coupled strain space thermoplasticity problems
publisher IOP Publishing
publishDate 2019
url http://psasir.upm.edu.my/id/eprint/81296/1/STRAIN.pdf
http://psasir.upm.edu.my/id/eprint/81296/
https://iopscience.iop.org/article/10.1088/1742-6596/1212/1/012023
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score 13.250719