Triaxial loading of thick-walled tubular and solid samples under finite deformations. Theory of the experiment
- Authors: Mossakovskii P.A.1
-
Affiliations:
- Lomonosov Moscow State University
- Issue: No 1 (2025)
- Pages: 102-115
- Section: Articles
- URL: https://journals.rcsi.science/1026-3519/article/view/288538
- DOI: https://doi.org/10.31857/S1026351925010058
- EDN: https://elibrary.ru/taipcq
- ID: 288538
Cite item
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.
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About the authors
P. A. Mossakovskii
Lomonosov Moscow State University
Author for correspondence.
Email: pavel_mossakovsky@mail.ru
Institute of Mechanics
Russian Federation, MoscowReferences
- Nadai A. Plasticity and destruction of solids. V.1. M.: IL, 1954. 648 p.
- Zubchaninov V.G. Experimental plasticity: In 2 books. Book 1. Processes of complex deformation / V.G. Zubchaninov, N.L. Okhlopkov, V.V. Garanikov. Tver: Tver State Technical University UN-t, 2003.
- Experimental studies of the properties of materials under complex thermomechanical influences / Ed. by V.E. Wildeman. M.: Fizmatlit, 2012.
- Vasin R.A. Experimental investigation of inelastic behavior of materials // Applied mechanics and technical physics. 2016. № 5. P. 29–33. https://doi.org/10.15372/PMTF20160504
- Vasin R.A., Ilyushin A.A., Mossakovsky P.A. Investigation of determining ratios and fracture criteria on solid and thick-walled tubular samples // Izv. RAS. Solid state mechanics. 1994. № 2. P. 177–184.
- Muravlev A.V. Experimental methods for studying the mechanical properties of thermoviscoplastic materials under complex loading and finite deformations // Elasticity and inelasticity: Materials of International Scientific Research. simp. on the problems of mechanics of deformable bodies, dedicated to the 100th anniversary of the birth of A.A. Ilyushin, Moscow, January 20–21, 2011. Moscow: Publishing House of Moscow State University, 2011. P. 216–220.
- Markin A.A., Tolokonnikov L.A. Measures and determining ratios of finite elastoplastic deformation // Applied problems of strength and plasticity. Methods of solution: All-Union mezhvuz. sb. Gorky: Publishing House of Gorky State University, 1987. P. 32–37.
- Mossakovsky P. A. Expanded postulates of the theory of elastoplastic processes and their consequences // Elasticity and inelasticity: Materials of International Scientific Research. simp. on the problems of mechanics of deformable bodies, Moscow, January 22–23, 2001, Moscow: Publishing House of Moscow State University, 2001. P. 219–223.
- Brovko G.L. Objective tensors and their mappings in classical continuum mechanics // Mechanics of Solids. 2021. V. 56. № 1. P. 65–83.
- Ilyushin A.A. Mechanics of a continuous medium. 3rd ed. Moscow: Publishing House of Moscow State University, 1990. 310 p.
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