Elastic-plastic analysis of a circular pipe turned inside out

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Аннотация

The paper presents an analytical solution to the problem of a circular pipe turned inside out in a rigid gasket. Formulas were obtained for the magnitude of the radial stress, which is responsible for the adhesion between the pipe and the gasket. The solution is obtained for an arbitrary incompressible hyperelastic material with a hyperelastic potential that depends only on the first invariant of the left Cauchy – Green deformation tensor (various generalizations of the neo-Hookean solid) or on the second invariant of the logarithmic Hencky strain tensor (various generalizations of the incompressible Hencky material). The solution takes into account the occurrence of plastic flow in areas adjacent to the lateral surfaces of the pipe. Both ideally plastic and isotropically hardening materials of a general type are considered. For the latter, a solution scheme is given; in the particular case of a linearly hardening material, a closed-form solution is obtained. For the perfect plasticity model, a closed-form solution was obtained for the neo-Hookean solid, for an incompressible Hencky material, and for the Gent material.

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Авторлар туралы

G Sevastyanov

Institute of Machinery and Metallurgy, KhFRC FEBRAS

Хат алмасуға жауапты Автор.
Email: akela.86@mail.ru
Ресей, Komsomolsk-on-Amur

Әдебиет тізімі

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  16. Sevastyanov G.M. Adiabatic heating effect in elastic-plastic contraction / expansion of spherical cavity in isotropic incompressible material // European Journal of Mechanics – A/Solids. 2021. V. 87. 104223. https://doi.org/10.1016/j.euromechsol.2021.104223
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Әрекет
1. JATS XML
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2. Fig. 1. Unscrewing a pipe in a rigid clamp.

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3. Fig. 2. Calculation domain (inverted pipe).

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4. Fig. 3. Limit value of the geometric parameter for the elastic models of Hencky, the neo-Hookean body and Ghent: if δ = a/b > δ*, then the inverted pipe is elastically deformed, if δ = a/b < δ*, then elastically-plastically.

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5. Fig. 4. Width of the elastic zone.

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6. Fig. 5. The magnitude of the tension is the sum of the “geometric” and “mechanical” components

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