Materials Algorithms Project
Program Library

Program MAP_NEURAL_BAINITEPLATE_THICKNESS

1. Provenance of code.
2. Purpose of code.
3. Specification.
4. Description of subroutine's operation.
5. References.
6. Parameter descriptions.
7. Error indicators.
8. Accuracy estimate.
9. Any additional information.
10. Example of code
11. Auxiliary subroutines required.
12. Keywords.
13. Download source code.
14. Links.

Provenance of Source Code

S. B. Singh and H.K.D.H. Bhadeshia,
Phase Transformations Group,
Department of Materials Science and Metallurgy,
University of Cambridge,
Cambridge, U.K.

Top | Next

Purpose

To estimate the bainite plate thickness of low-alloy steels as a function of transformation temperature, the chemical free energy available for nucleation and the strength of austenite at the transformation temperature over a limited range of inputs as stated in [1].

Top | Next | Prev

Specification

DOUBLE PRECISION X(15), W1(4,14), W2(4),THETA1(14), H(4)
& AMIN(15), AMAX(15)

Top | Next | Prev

Description

MAP_NEURAL_BAINITEPLATE_THICKNESS is an interactive program which uses the results of a neural network training process to permit the estimation of the bainite plate thickness. This is as a function of the following variables, within the stated ranges [1]:-

The program uses the file "WEIGHTS" to obtain the neural network training information.

Top | Next | Prev

References

1. S.B. Singh and H.K.D.H. Bhadeshia, 1998, Materials Science and Engineering A, 245, 72-79.

Top | Next | Prev

Parameters

Input parameters

X - real array of dimension 15

X contains the normalized values of the input variables.

W1 - real array of dimension (4,14)

W1 contains weights read in from file "WEIGHTS".

W2 - real array of dimension 4

W2 contains weights read in from file "WEIGHTS".

THETA1 - real array of dimension 14

THETA1 contains biases read in from file "WEIGHTS".

H - real array of dimension 4

H contains a part of the transfer function.

AMIN - real array of dimension 15

AMIN contains the minimum value of the variables in the experimental dataset used to develop the model.

AMAX - real array of dimension 15

AMAX contains the maximum value of the variables in the experimental dataset used to develop the model.

Output parameters

The program gives the bainite plate thickness in microns.

Top | Next | Prev

Error Indicators

None.

Top | Next | Prev

Accuracy

The full calculation of the error bars as presented in [1] is not reproduced in this program. An average error of ± 0.03 micron may be assumed reasonable but will not be reliable in all cases.

Top | Next | Prev

Further Comments

None.

Top | Next | Prev

Example

1. Program text

       Complete Program.

2. Program data

                     Transformation Temperature (centigrade)?
400
                     Free energy for nucleation (J/mole)?
-1400
                     Austenite strength at temperature (MPa)?
110

3. Program results

                               ** BAINITE SUBUNIT THICKNESS **           

                                  University of Cambridge  

                         S. B. Singh and H. K. D. H. Bhadeshia  



           Temperature         400.  C 
           Gmax              -1400.  J/mole 
           Yield Strength      110.  MPa 


           Thickness /microns           0.12
           Error     /microns           0.03

Top | Next | Prev

Auxiliary Routines

None.

Top | Next | Prev

Keywords

neural network, bainite plate thickness

Top | Next | Prev

Download

Download source code

Top | Prev