Application of the Shape Sensitivity Analysis in Numerical Modelling of Solidification Process

Abstract:

Article Preview

The methods of sensitivity analysis allow to estimate the influence of parameters determining the geometrical, physical, boundary and initial conditions on the course of thermal processes in the system considered. In this paper the possibilities of shape sensitivity analysis application (SSA) in the thermal theory of foundry processes are discussed. In particular, the direct approach is presented because it seems that for practical applications this variant of sensitivity analysis is more effective. The theoretical base of SSA is presented in chapters 1 and 2, next the practical aspects of the method are discussed. In the final part of the paper the examples of computations can be found.

Info:

Periodical:

Materials Science Forum (Volumes 539-543)

Main Theme:

Edited by:

T. Chandra, K. Tsuzaki, M. Militzer , C. Ravindran

Pages:

2524-2529

Citation:

B. Mochnacki and E. Majchrzak, "Application of the Shape Sensitivity Analysis in Numerical Modelling of Solidification Process", Materials Science Forum, Vols. 539-543, pp. 2524-2529, 2007

Online since:

March 2007

Export:

Price:

$38.00

[1] B. Mochnacki and J.S. Suchy: Numerical Methods in Computations of Foundry Processes (PFTA, Cracow 1995).

[2] E. Majchrzak and B. Mochnacki: Eng. Analysis with Boundary Elements 16, (1995), p.99.

[3] J. Crank: Free and Moving Boundary Problems (Clarendon Press - Oxford 1984).

[4] M. Kleiber: Parameter Sensitivity in Nonlinear Mechanics (J. Wiley & Sons Ltd., Chichester 1997).

[5] K. Dems and B. Rousselet: Structural Optimization 17, (1999), p.36.

[6] E. Majchrzak, M. Jasiński and G. KałuŜa: Archives of Foundry 4, 14 (2004), p.279.

[7] E. Majchrzak, M. Jasiński and G. KałuŜa: Archives of Foundry 5, 15 (2005), p.259.

[8] E. Majchrzak: Boundary Element Method in Heat Transfer, (Publ. of the Czestochowa University of Technology, Czestochowa 2001) (in Polish).

[9] C.A. Brebbia and J. Dominguez: Boundary Elements, an Introductory Course (Computational Mechanics Publications, McGraw-Hill Book Company, London 1992).

[10] E. Majchrzak and B. Mochnacki: Comp. Assisted Mech. and Eng. Sciences, 3, (1996), p.327. The paper has been sponsored by KBN (Grant No 3 T08B 004 28).

Fetching data from Crossref.
This may take some time to load.