The article considers a numerical method for solving a two-dimensional coupled dynamic thermoplastic boundary value problem based on deformation theory of plasticity. Discrete equations are compiled by the finite-difference method in the form of explicit and implicit schemes. The solution of the explicit schemes is reduced to the recurrence relations regarding the components of displacement and temperature. Implicit schemes are efficiently solved using the elimination method for systems with a three-diagonal matrix along the appropriate directions. In this case, the diagonal predominance of the transition matrices ensures the convergence of implicit difference schemes. The problem of a thermoplastic rectangle clamped from all sides under the action of an internal thermal field is solved numerically. The stress-strain state of a thermoplastic rectangle and the distribution of displacement and temperature over various sections and points in time have been investigated.
| Mualliflar | Джумаёзов, У.З., Абдирахмонова, М.Н., Зарипова, М.Д., Пулатов, С.П., Рустамов, А.А. |
|---|---|
| Jurnal | Рақамли технологияларнинг назарий ва амалий масалалари |
| Nashr sanasi | 2025-10-23 |
| Jild | 8 |
| Son | 4 |
| Betlar | 22-32 |
| Til | Rus |
| DOI | 10.62132/ijdt.v8i4.299 |
DOI: 10.62132/ijdt.v8i4.299 · Maqolaning asl sahifasi
термопластичность, перемещение, температура, напряжение, разностное уравнение, явная схема, сходимость, thermoplasticity, displacement, temperature, stress, differential equation, explicit scheme, convergence
Understanding how daily behavioral patterns contribute to stress is increasingly important in a digitally saturated world. This study investigates the relationship between technology use, lifestyle behaviors, and stress…
This study introduces a nonlinear mathematical model and a numerical algorithm for simulating the emission and transport of aerosol and dust particles generated by wind erosion of soil in complex orographic terrain. The…
The paper considers the problem of deformation of a thin conductive plate under the action of a non-stationary magnetic field taking into account the Lorentz forces and Joule heat generation. A mathematical model is…
In this research paper, the development and application of parallelization techniques for the efficient solution of systems of logical equations, particularly in the field of medical diagnostics, are described. The…
High mortality in the acute and post-hospital periods of myocardial infarction underscores the relevance of accurately stratifying patient risk and assessing survival outcomes. This study compares two complementary…
This review systematizes how machine learning (ML) can be integrated into Lagrangian particle dispersion models (LPDM: FLEXPART, HYSPLIT, STILT, NAME) as a physics-consistent augmentation rather than a replacement of…
This article develops a model and numerical algorithm with second-order accuracy in time and spatial variables for solving problems of combined heat and moisture transfer during the storage and drying of heterogeneous…
This paper argues that advances in fuzzy reasoning systems in healthcare are critical for patient data, requiring innovative methodologies that combine the interpretive capabilities of artificial intelligence with…
In this study, a concatenated CNN model for pneumonia detection is proposed, combined with an image enhancement method based on fuzzy logic. The image enhancement process utilizes a novel refined fuzzification…
Drug development is a central topic at the intersection of structural biology, biochemistry, and medicine, associated with significant challenges such as high cost (billions of dollars), low success rates (less than…
Рақамли технологияларнинг назарий ва амалий масалалари — barcha maqolalar