Stress and strain state of a square bar under complex loading

Turdibekov, Javlonbek, Турдибеков, Жавлонбек, Turdibekov, Javlonbek

Mexanika muammolari jurnali · 2026-yil

Annotatsiya

Background: Elastoplastic tension and torsion of a homogeneous square bar are examined for sequential and proportional loading paths. Methods: A displacement formulation is used: plastic shear strains contribute to the source in the warping Poisson equation and enter the Neumann boundary conditions. The Prandtl–Reuss model is compared with an average curvature model that accounts for deformation- path memory. A five-point finite-difference scheme and successive over-relaxation are employed. Results: Three elastic benchmark meshes exhibit second-order convergence; the torque error on the 181 × 181 mesh is 0.000941%. In the reported comparison at the same final kinematic state, the average curvature model predicts a torque 3.15–9.44% above the Prandtl–Reuss result. Conclusions: Local trajectories reveal sensitivity to the loading sequence. The conclusions are restricted to the adopted reduced cross-sectional description and the elastic verification of the algorithm.

Maqola ma’lumotlari
MualliflarTurdibekov, Javlonbek, Турдибеков, Жавлонбек, Turdibekov, Javlonbek
JurnalMexanika muammolari jurnali
NashriyotМеханика ва иншоотлар сейсмик мустаҳкамлиги институти
ISSN2010-7250
Nashr sanasi2026-09-30
Jild37
Son3
TilIngliz
Indeksga qo‘shilgan2026-10-18

Maqolaning asl sahifasi

Kalit so‘zlar

complex loading, square cross-section, warping, elastoplasticity, average curvature, finite differences, SOR, сложное нагружение, квадратное сечение, депланация, упругопластичность, средняя кривизна, конечные разности, SOR, murakkab yuklanish, kvadrat ko‘ndalang kesim, deplanatsiya, elastik-plastiklik, o‘rtacha egrilik, chekli ayirmalar, SOR

Iqtibos keltirish

APATurdibekov, Javlonbek, Турдибеков, Жавлонбек, & Turdibekov, Javlonbek (2026). Stress and strain state of a square bar under complex loading. Mexanika muammolari jurnali, 37(3). https://www.pmjournal.uz/index/article/view/24
GOST (OAK)Turdibekov, Javlonbek, Турдибеков, Жавлонбек, Turdibekov, Javlonbek Stress and strain state of a square bar under complex loading // Mexanika muammolari jurnali. – 2026. – T. 37, № 3.
MLATurdibekov, Javlonbek, Турдибеков, Жавлонбек, and Turdibekov, Javlonbek. “Stress and strain state of a square bar under complex loading.” Mexanika muammolari jurnali, 37(3), 2026. https://www.pmjournal.uz/index/article/view/24
ChicagoTurdibekov, Javlonbek, Турдибеков, Жавлонбек, and Turdibekov, Javlonbek. “Stress and strain state of a square bar under complex loading.” Mexanika muammolari jurnali, 37(3) (2026). https://www.pmjournal.uz/index/article/view/24
HarvardTurdibekov, Javlonbek, Турдибеков, Жавлонбек, and Turdibekov, Javlonbek (2026) ‘Stress and strain state of a square bar under complex loading’, Mexanika muammolari jurnali, 37(3). https://www.pmjournal.uz/index/article/view/24
BibTeX
@article{turdibekovjavlonbek2026,
  title = {Stress and strain state of a square bar under complex loading},
  author = {Turdibekov, Javlonbek and Турдибеков, Жавлонбек and Turdibekov, Javlonbek},
  journal = {Mexanika muammolari jurnali},
  year = {2026},
  volume = {37},
  number = {3},
  url = {https://www.pmjournal.uz/index/article/view/24}
}

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