Numerical solution of two-dimensional coupled thermoplastic problems
Abduvali KhaldjigitovFaculty of Mathematics, National University of Uzbekistan, Tashkent, 100174, UzbekistanYusufbay YusupovFaculty of Applied Mathematics and Intellectual Technology, National University of Uzbekistan, Tashkent, 100174, UzbekistanU.E. AdambaevFaculty of Applied Mathematics and Intellectual Technology, National University of Uzbekistan, Tashkent, 100174, UzbekistanDilnoza SagdullaevaInstitute of Mechanics and Seismic Stability of Structure named after M.T. Urazbaev, Academy of Sciences of the Republic of Uzbekistan, 100125 Tashkent, Uzbekistan
ABI
Аннотация
Coupled dynamic thermoplastic boundary value problems in two dimensions based on strain space and deformation theories of plasticity are formulated. The explicit and implicit types of finite difference equations are constructed. Numerical solution of the explicit finite difference equations is obtained by the application of recurrent formulas, whereas the implicit scheme is obtained by utilizing the elimination method. Comparison of the numerical results obtained by the explicit and implicit schemes show a good coincidence.
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