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IssuesArchive of Issues2020-3pp.348-356

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B.V. Nerubailo, "Asymptotic Separation and Synthesis of a Stress State and Thermal-Force Analogues in the Theory of Shells," Mech. Solids. 55 (3), 348-356 (2020)
Year 2020 Volume 55 Number 3 Pages 348-356
DOI 10.3103/S0025654420030103
Title Asymptotic Separation and Synthesis of a Stress State and Thermal-Force Analogues in the Theory of Shells
Author(s) B.V. Nerubailo (Moscow Aviation Institute (National Research University), Moscow, 125080 Russia, nerubailobv@gmail.com)
Abstract An approach to calculating the stress-strain state during axisymmetric deformation of domes and bottoms by synthesizing two stress states, namely, momentless and edge effect is generalized to the case of arbitrary deformation of cylindrical and conical shells. It is proposed to construct the stress state on the basis of approximate equations describing the so-called elementary stress states: ground state (semi-momentless theory), edge effect, stress state with high variability (Vlasov-Donnell equations), and the equations of bending or tangential states, which are analogous to the equations of the plane problem and problem on bending plates. Thermal-force analogies between stress states under force and thermal actions are established.
Keywords cylindrical and conical shells, asymptotic synthesis, stresses, thermal-force analogy
Received 27 December 2019Revised 10 January 2020Accepted 11 January 2020
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