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Numerical Simulation of Elastoplastic Problems in Strains and Displacements

Abduvali KhaldjigitovNational University of Uzbekistan, Tashkent, UzbekistanUmidjon DjumayozovSamarkand branch of Tashkent University of Information Technologies, Samarkand, UzbekistanDilnoza SagdullaevaInstitute of Mechanics and Seismic Stability of Structures, Tashkent, 100125, Uzbekistan
E3S Web of Conferencesjournal2024en
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Within the framework of Saint-Venant's compatibility conditions, plane problems of the theory of plasticity with respect to strains and displacements are formulated in this paper. Grid equations for displacements and strains for a rectangular plate are compiled using the finite-difference method. Difference equations for displacements and strains were solved, respectively, by the iterative method and the method of alternating directions. By comparing the numerical results for a rectangular plate, the validity of the formulated plastic problem with respect to deformations is shown.

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