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JOURNALS // Vestnik Yuzhno-Ural'skogo Gosudarstvennogo Universiteta. Seriya "Matematika. Mekhanika. Fizika" // Archive

Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2025 Volume 17, Issue 4, Pages 44–51 (Mi vyurm657)

This article is cited in 1 paper

Mechanics

Axisymmetric deformation of a thick-walled constrained shell under internal pressure with a nonlinear law of strain hardening

I. K. Andrianov

Komsomolsk-na-Amure State University, Komsomolsk-na-Amure, Russian Federation

Abstract: The study considers axisymmetric elastoplastic deformation of a thick-walled constrained shell made of incompressible material subjected to internal pressure. The problem is solved using the method of variable elasticity parameters, taking into account the nonlinear law of deformation hardening. Based on the calculation results, the paper presents the distribution of radial, circumferential, and axial stresses for various relative shell wall thicknesses when the boundary of the plastic zone passes through the median surface of the shell.

Keywords: elastoplastic strain, nonlinear hardening law, thick-walled shell, axial symmetry.

UDC: 539.3

Received: 22.09.2025

DOI: 10.14529/mmph250406



© Steklov Math. Inst. of RAS, 2026