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Mathematical modeling and simulation of the coupled strain space thermoplasticity problems


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


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.

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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1088/1742-6596/1212/1/012023
Publisher: IOP Publishing
Notes: 14th International Symposium on Geometric Function Theory and Applications 3–5 December 2018, Universiti Kebangsaan Malaysia, Selangor, Malaysia
Keywords: Thermoplasticity; Temperature; Strain
Depositing User: Ms. Nida Hidayati Ghazali
Date Deposited: 15 Jun 2021 23:46
Last Modified: 15 Jun 2021 23:46
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1088/1742-6596/1212/1/012023
URI: http://psasir.upm.edu.my/id/eprint/81296
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