Application of the two-dimensional Hermitian finite difference method to linear shear deformation theory of plates and arbitrarily curved shells

1988 ◽  
Vol 73 (1-4) ◽  
pp. 163-175 ◽  
Author(s):  
H. Wimmer
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Shear Deformation ◽  
Difference Method ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Two Dimensional ◽  
Linear Shear ◽  
Theory Of Plates

The Simplified Method to Calculate Two-Dimensional Heat Conduction Equations of Heating Slab

2011 ◽  
Vol 79 ◽  
pp. 105-110
Author(s):  
Guo Jun Li ◽  
Xiao Ting Li ◽  
Hai Geng Chen
Keyword(s):  
Heat Conduction ◽  
Finite Difference ◽  
Finite Difference Method ◽  
Difference Method ◽  
Thermal Flux ◽  
Computational Time ◽  
Fourth Power ◽  
Heating Process ◽  
Two Dimensional ◽  
Simplified Method

The most effective way of determining the whole billet temperature field is to use a simulation model. Large amount of calculation as well as computational time is consumed to employ two-dimensional finite difference method since the heating process is extremely complex, then it’s necessary to simplify the calculation process. In this paper, a simplified method in one-dimension format was presented to calculate two-dimensional heat conduction equations of heating slab. The billet simulated was placed in a changeable thermal flux boundary environment, in which the thermal flux was proportional to fourth power of temperature. During the heating process, the changeable parameters were taken into account: i. e different billet dimensions, different billet thermal conduction, different specific heat, etc. The comparision between results of two-dimensional finite difference method and the simplified method verified that the simplified method can satisfy accuracy requirement as well as calculation time saving, which enable the simplified method online using.

Sign in / Sign up

Export Citation Format

Share Document