Asymptotic Separation and Synthesis of a Stress State and Thermal-Force Analogues in the Theory of Shells

Autor: B. V. Nerubailo
Rok vydání: 2020
Předmět:
Zdroj: Mechanics of Solids. 55:348-356
ISSN: 1934-7936
0025-6544
DOI: 10.3103/s0025654420030103
Popis: 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.
Databáze: OpenAIRE
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