An Efficient Method of Finding Stress Solutions in Porous Material under Axial Symmetry

2018 3rd International Conference on Building Materials and Construction

土木建筑工程

Alexandrov, S.^1,2 ; Lyamina, E.^3 ; Nguyen-Thoi, T.^1,2

Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Viet Nam^1

Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam^2

Institute for Problems in Mechanics RAS, Moscow, Russia^3

关键词: Co-ordinate system;    Powder material;    Principal stress;    Statically determinate;    Stress equilibrium equation;    Stress solutions;    System of equations;    Yield criteria;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/371/1/012059/pdf
DOI  :  10.1088/1757-899X/371/1/012059

学科分类：土木及结构工程学

来源: IOP

【 摘 要 】

In the mechanics of porous and powder materials the system of equations comprising the pyramid yield criterion together with the stress equilibrium equations under conditions of axial symmetry forms a statically determinate system at edge regimes. The results presented here for this system are consequently independent of any flow rule that may be chosen to calculate the deformation and also independent of whether elastic strains are included. The stress equilibrium equations are written relative to a coordinate system in which the coordinate curves coincide with the trajectories of the principal stress directions. Then, a method of finding the trajectories of the principal stresses is developed.