LOGOS CODE PACKAGE. A FINITE-ELEMENT TECHNIQUE FOR THE STATIC STRENGTH PROBLEMS OF STRUCTURES WITH REGARD TO PHYSICAL AND GEOMETRICAL NONLINEARITY EFFECTS
O. L. Aleksandrova, R. A. Barabanov, D. Yu. D'yanov, S. S. Kosarim, A. O. Naumov, V. F. Spiridonov, E. A. Filimonkin, K. V. Tsiberev
VANT. Ser.: Mat. Mod. Fiz. Proc 2014. Вып.3. С. 3-17.
The paper considers the finite-element technique implemented in LOGOS software to simulate the quasi-static strength problems of structures with regard to the effects of physical and geometrical nonlinearity. The technique implements the scheme of the finite-element method in the form of the transport method, which is based on minimizing the potential energy functional of a strained system. For a linear elasticity case, the paper presents the basic relations and main finite-element approximation formulas. The descriptions of algorithms generalizing the finite-element technique to the case of nonlinear quasi-static strength problems of structures are presented. Keywords: LOGOS code package, quasi-static strength, method of finite elements stress-strained state, physical nonlinearity, geometrical nonlinearity.
|
English
