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IssuesArchive of Issues2025-1pp.65-74

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P.A. Mossakovskii, "Triaxial Loading of Thick-Walled Tubular and Solid Samples under Finite Deformations. Theory of the Experiment," Mech. Solids. 60 (1), 65-74 (2025)
Year 2025 Volume 60 Number 1 Pages 65-74
DOI 10.1134/S0025654424605111
Title Triaxial Loading of Thick-Walled Tubular and Solid Samples under Finite Deformations. Theory of the Experiment
Author(s) P.A. Mossakovskii (Institute of Mechanics of Lomonosov Moscow State University, Moscow, 119192 Russia, pavel_mossakovsky@mail.ru)
Abstract The work is devoted to the theoretical study of the problem of identifying an inhomogeneous stress-strain state (SSS) in thick-walled tubular and solid samples loaded with axial force, torque, external (and for tubes – and internal) pressure. Unlike standard tests with thin-walled tubes, in this case it is possible to achieve significantly higher values of deformations before the loss of bearing capacity of the samples. A well-known approach to solving this problem is the conditional tube method, which requires two coordinated experiments on similar loading programs to identify the SSS. The paper provides a theoretical justification for the conditional tube (and degenerate conditional tube) method, taking into account the finite deformations in the sample.
Keywords theory of experiment, triaxial loading, conditional tube method, finite strain, corotational tensor measures, constitutive equations
Received 26 August 2024Revised 20 September 2024Accepted 21 September 2024
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