Numerical Modeling of the Process of Thermoplastic Deformation of Transversally Isotropic Parallelepipeds
М. R. Bаbajanov1, A. A. Kalandarov2, U. E. Adambaev3

1М.R.Bаdadjanov*, Tashkent University of Information Technologies, Tashkent, Uzbekistan.
2A.A.Kalandarov, Gulistan State University, Gulistan, Uzbekistan.
3U.E.Adambaev, Faculty of Math. National University of Uzbekistan named after Mirzo Ulugbek, Tashkent, Uzbekistan.
Manuscript received on March 15, 2020. | Revised Manuscript received on April 02, 2020. | Manuscript published on April 10, 2020. | PP: 630-632 | Volume-9 Issue-6, April 2020. | Retrieval Number: F4314049620/2020©BEIESP | DOI: 10.35940/ijitee.F4314.049620
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Abstract: The paper proposes a modified version of the iterative method for numerically solving a three-dimensional uncoupled boundary-value problem that describes the process of thermoplastic deformations of a transversely isotropic parallelepiped. A discrete analogue of the boundary value problem is compiled on the basis of the finite-difference method. A recurrent finite-difference relation is written which allows one to find the desired components of the displacement vector in combination with the iterative method. It is assumed that, at a first approximation, the values of the sought displacements in the internal nodes are trivial. The essence of the method is demonstrated by solving the thermoplastic boundary-value problem for a transversely isotropic parallelepiped. The proposed method can be applied to solve related problems of dynamic thermoplasticity.
Keywords: Coupled Problems, Displacement, Iterative Method Strain, Stress, Thermoplasticity.
Scope of the Article:  Numerical Modelling of Structures