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H.K.D.H. Bhadeshia,
Materials Science and Metallurgy, University of Cambridge, U. K.
Graduate Institute of Ferrous Technology (GIFT), POSTECH, Korea
E-mail: hkdb@postech.ac.kr
The original separate programs for each deformation have been combined into one by:
JaeYong Chae
Computational Metallurgy Laboratory,
Graduate Institute of Ferrous Technology (GIFT), POSTECH, Korea
E-mail: exfeel@postech.ac.kr
Added to MAP: July, 2006.
Calculation of the change in grain surface area per unit volume and
grain edge length per unit volume as a function of a variety of deformations.
| Language: | FORTRAN |
The effect of plastic deformation on the grain boundary surface area per unit volume and edge length per unit volume is examined using two methods. First, by applying homogeneous deformations
to tetrakaidecahedra in a variety of orientations, and then by using the principles of stereology. This program contains nine subroutines. Each one of subroutines calculates the change in grain
surface area per unit volume and grain edge length per unit volume using one of the nine deformation methods.
The nine deformation types that this program can support are as follows :
Users can select one of the nine deformation types and then the program runs a corresponding routine. Each routine initially defines vectors of a plate or tetrakaidecahedra. Result vectors are calculated by producting a deformation matrix(vectors) to that vectors. The deformation matrix is determined by each one of the deformation methods. After that, the routine calculates area and length from result vectors and calculates their ratio. Each routine is run in many times(number of loop is depended on cases).
The name of source code is as follows :None.
No information.
None.
g77 [sourcecode name] -o [executable file name]
Select deformation type:
1 : Plane strain deformation of plates
2 : Plane strain deformation of oriented plates
3 : Axisymmetric compression of tetrakaidecahedra
4 : Plane strain deformation of tetrakaidecahedra
5 : Cross rolling of tetrakaidecahedra
6 : Shear of tetrakaidecahedra
7 : Axisymmetric tension of tetrakaidecahedra
8 : Plane strain deformation combined with Shear
of tetrakaidecahedra
9 : Plane strain deformation of Needle
0 : QUIT
Auto generated.
(This is the case of menu number 7)
****************************************************
Result for
Axisymmetric tension
of randomly oriented tetrakaidecahedra
The first tetrakaidecahedron is oriented as in
the following reference:
S. B. Singh and H. K. D. H. Bhadeshia
Materials Science and Technology 14 (1998) 832-834.
****************************************************
L/L_0 A/A_0 S_11 S_22 S_33 Eq
1.00 1.00 0.00 0.00 0.00 0.00
1.23 1.17 0.69 -0.35 -0.35 0.69
1.65 1.39 1.10 -0.55 -0.55 1.10
2.11 1.59 1.39 -0.69 -0.69 1.39
2.59 1.78 1.61 -0.80 -0.80 1.61
3.08 1.94 1.79 -0.90 -0.90 1.79
3.57 2.10 1.95 -0.97 -0.97 1.95
4.07 2.24 2.08 -1.04 -1.04 2.08
4.56 2.38 2.20 -1.10 -1.10 2.20
5.06 2.51 2.30 -1.15 -1.15 2.30
5.55 2.63 2.40 -1.20 -1.20 2.40
6.05 2.75 2.48 -1.24 -1.24 2.48
6.55 2.86 2.56 -1.28 -1.28 2.56
7.05 2.96 2.64 -1.32 -1.32 2.64
7.55 3.07 2.71 -1.35 -1.35 2.71
...
No auxiliary routines
steel, topology, metallography, deformation
MAP originated from a joint project of the National Physical Laboratory and the University of Cambridge.