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Asymptotic Separation and Synthesis of a Stress State and Thermal-Force Analogues in the Theory of Shells
Mechanics of Solids ( IF 0.7 ) Pub Date : 2020-10-08 , DOI: 10.3103/s0025654420030103
B. V. Nerubailo

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.



中文翻译:

壳理论中应力状态和热力类似物的渐近分离与合成

摘要-

通过合成两个应力状态,即无边矩和边缘效应,将圆顶和底部的轴对称变形过程中的应力应变状态推广到圆柱壳和圆锥壳任意变形的情况。建议在描述所谓基本应力状态的近似方程的基础上构造应力状态:基态(半矩理论),边缘效应,高变异性应力状态(Vlasov-Donnell方程)和这些方程弯曲或切向状态的近似,类似于平面问题方程和弯曲板上的问题方程。建立了在力和热作用下应力状态之间的热力类比。

更新日期:2020-10-08
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