On the moment theory of elasticity. Plane deformation. Part 3

1998 ◽  
Vol 30 (5) ◽  
pp. 516-521 ◽  
Author(s):  
É. A. Bulanov
Keyword(s):  
Plane Deformation ◽  
Theory Of Elasticity ◽  
Moment Theory ◽  
The Moment

ПРИНЦИП ВОЗМОЖНЫХ ПЕРЕМЕЩЕНИЙ В МОМЕНТНОМЕМБРАННОЙ ДИНАМИЧЕСКОЙ ТЕОРИИ УПРУГИХ ТОНКИХ ОБОЛОЧЕК / The Principle of Possible Displacments in the Moment-Membrane Dynamic Theory of Elastic Thin Shells

2021 ◽  
pp. 10-19
Author(s):  
S. Sargsyan
Keyword(s):  
Boundary Value Problem ◽  
Dynamic Theory ◽  
Three Dimensional ◽  
Theory Of Elasticity ◽  
Thin Shells ◽  
Moment Theory ◽  
Thin Region ◽  
Membrane Dynamic ◽  
Dimensional Boundary ◽  
The Moment

В работе излагается моментно-мембранная динамическая теория упругих тонких оболочек на основе метода гипотез, который соответствует качественной стороне результата интегрирования трехмерной граничной задачи моментной теории упругости в тонкой области оболочки. На основе принципа возможных перемещений трехмерной моментной динамической теории упругости с независимыми полями перемещений и вращений и основных соотношений моментномембранной динамической теории упругих тонких оболочек, устанавливается принцип возможных перемещений для моментномембранной динамической теории упругих тонких оболочек./ In the present paper the moment-membrane dynamic theory of elastic thin shells is presented based on the hypotheses method, which corresponds to the qualitative side of the result of integration of the three-dimensional boundary-value problem of the moment theory of elasticity in a thin region of the shell. On the basis of the principle of possible displacements of the threedimensional moment dynamic theory of elasticity with independent fields of displacements and rotations and the basic relations of the moment-membrane dynamic theory of elastic thin shells, the principle of possible displacements for the moment-membrane dynamic theory of elastic thin shells is established.

scholarly journals The Approximate Solution of Some Plane Boundary Value Problems of the Moment Theory of Elasticity

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Roman Janjgava
Keyword(s):  
Approximate Solution ◽  
Stress Concentration ◽  
General Solution ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Approximate Solutions ◽  
Theory Of Elasticity ◽  
Plane Boundary ◽  
Moment Theory ◽  
The Moment

We consider a two-dimensional system of differential equations of the moment theory of elasticity. The general solution of this system is represented by two arbitrary harmonic functions and solution of the Helmholtz equation. Based on the general solution, an algorithm of constructing approximate solutions of boundary value problems is developed. Using the proposed method, the approximate solutions of some problems on stress concentration on the contours of holes are constructed. The values of stress concentration coefficients obtained in the case of moment elasticity and for the classical elastic medium are compared. In the final part of the paper, we construct the approximate solution of a nonlocal problem whose exact solution is already known and compare our approximate solution with the exact one. Supposedly, the proposed method makes it possible to construct approximate solutions of quite a wide class of boundary value problems.

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