Introduction to the finite element method for linear elastostatics

2020 ◽  
pp. 223-227
Author(s):  
Lallit Anand ◽  
Sanjay Govindjee
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Plane Stress ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Science And Engineering ◽  
Main Structure ◽  
Linear Elastostatics ◽  
Dimensional Boundary ◽  
Element Method

This chapter introduces the widely-used finite element method applied to solving two-dimensional boundary value problems in linear elastostatics under plane strain or plane stress conditions. While the chapter illustrates the main structure of the finite element method using the equations of linear elasticity, the method can also be applied to a wide variety of other problems in science and engineering.

Finite-element analysis of axi-symmetric rotors

1969 ◽  
Vol 4 (3) ◽  
pp. 163-168
Author(s):  
H Stordahl ◽  
H Christensen
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Three Dimensional ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
Element Analysis ◽  
Engineering Problems ◽  
Symmetric Rotor ◽  
Practical Engineering ◽  
Element Method

The finite-element method (1) (2)∗ is increasingly used in the stress analysis of mechanical-engineering problems. It is the purpose of this paper to described how the finite-element method can be used as an effective tool in the design of rotors. Up to the present time this method has mainly been used in the analysis of two-dimensional problems. However, a special class of three-dimensional problems, namely axi-symmetric rotors, can be treated as a nearly two-dimensional problem. This paper summarizes the development of the finite-element method as applied to the analysis of the axi-symmetric rotor. A computer programme is then briefly described, and the application of the method to the solution of three examples taken from practical engineering experience are presented.

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