Effective-numerical method for solving the problems of the theory of elasticity in finite deformations

U Z Djumayozov, Abduvali Khaldjigitov

Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi · 2022-yil

Annotatsiya

Usually, when determining the safety margins and reliability of structures and their elements, it is sufficient to solve the boundary value problem of the theory of elasticity at small deformations. With the development of innovative technologies and the widespread use of composite materials, the calculation of materials at large deformations is required. The article formulates a twodimensional boundary value problem of the theory of elasticity in finite deformations for a rectangular region with different boundary conditions. The grid equations are compiled by the finite-difference method. To solve nonlinear grid equations, an effective iterative method is proposed based on the solution of finite-difference equations and boundary conditions with respect to the sought nodal values, taking into account nonlinear terms. The distribution of displacements and stresses in a given area is investigated and the numerical results are compared with the results obtained for boundary value problems of the theory of elasticity at small deformations.

Maqola ma’lumotlari
MualliflarU Z Djumayozov, Abduvali Khaldjigitov
JurnalSamarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi
NashriyotСамарқанд давлат университети
ISSN2091-5446, 2181-1296
Nashr sanasi2022-02-02
Jild1
Son131/1
Betlar1-16
TilIngliz
DOI10.59251/2181-1296.v1.1311.84
Indeksga qo‘shilgan2026-09-02

DOI: 10.59251/2181-1296.v1.1311.84 · Maqolaning asl sahifasi · PDF

Iqtibos keltirish

APAU Z Djumayozov, & Abduvali Khaldjigitov (2022). EFFECTIVE-NUMERICAL METHOD FOR SOLVING THE PROBLEMS OF THE THEORY OF ELASTICITY IN FINITE DEFORMATIONS. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(131/1), 1-16. https://doi.org/10.59251/2181-1296.v1.1311.84
GOST (OAK)U Z Djumayozov, Abduvali Khaldjigitov EFFECTIVE-NUMERICAL METHOD FOR SOLVING THE PROBLEMS OF THE THEORY OF ELASTICITY IN FINITE DEFORMATIONS // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2022. – T. 1, № 131/1. – P. 1-16. – DOI: 10.59251/2181-1296.v1.1311.84.
MLAU Z Djumayozov, and Abduvali Khaldjigitov. “EFFECTIVE-NUMERICAL METHOD FOR SOLVING THE PROBLEMS OF THE THEORY OF ELASTICITY IN FINITE DEFORMATIONS.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(131/1), 1-16, 2022. https://doi.org/10.59251/2181-1296.v1.1311.84
ChicagoU Z Djumayozov, and Abduvali Khaldjigitov. “EFFECTIVE-NUMERICAL METHOD FOR SOLVING THE PROBLEMS OF THE THEORY OF ELASTICITY IN FINITE DEFORMATIONS.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(131/1), 1-16 (2022). https://doi.org/10.59251/2181-1296.v1.1311.84
HarvardU Z Djumayozov, and Abduvali Khaldjigitov (2022) ‘EFFECTIVE-NUMERICAL METHOD FOR SOLVING THE PROBLEMS OF THE THEORY OF ELASTICITY IN FINITE DEFORMATIONS’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(131/1), 1-16. https://doi.org/10.59251/2181-1296.v1.1311.84
BibTeX
@article{uzdjumayozov2022,
  title = {EFFECTIVE-NUMERICAL METHOD FOR SOLVING THE PROBLEMS OF THE THEORY OF ELASTICITY IN FINITE DEFORMATIONS},
  author = {U Z Djumayozov and Abduvali Khaldjigitov},
  journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
  year = {2022},
  volume = {1},
  number = {131/1},
  pages = {1-16},
  doi = {10.59251/2181-1296.v1.1311.84},
  url = {https://doi.org/10.59251/2181-1296.v1.1311.84}
}

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