On Mathematical Modelling of Substitution Elements Diffusion in the Neighbourhood of Welded Joint of Steels

Lenka Řeháčková; Jaroslav Kalousek; Jana Dobrovská; Karel Stránský

doi:10.4028/www.scientific.net/MSF.567-568.305

Paper Titles

Fractal Analysis of Fragmentation Patterns of Glass Plates
p.289

Effect of Vibrations on Lifetime of Ni Base Single Crystals Subjected to Tensile Stress
p.293

Experimental Evaluation of Plastic Property of a Low-Dimensional Cu Nano-Component
p.297

X-Ray Micro-Tomography Coupled to the Extended Finite Element Method to Investigate Microstructurally Short Fatigue Cracks
p.301

On Mathematical Modelling of Substitution Elements Diffusion in the Neighbourhood of Welded Joint of Steels
p.305

Degradation of Protective Al - Si Coatings during Exploitation of Gas Turbine Blades
p.309

High Resolution Imaging by Means of Backscattered Electrons in the Scanning Electron Microscope
p.313

Fatigue Crack Growth in Titanium and Aluminium Alloys under Bending
p.317

Deformation Behaviour of an AX41 Magnesium Alloy at Elevated Temperatures
p.321

HomeMaterials Science ForumMaterials Science Forum Vols. 567-568On Mathematical Modelling of Substitution Elements...

On Mathematical Modelling of Substitution Elements Diffusion in the Neighbourhood of Welded Joint of Steels

Abstract:

This paper deals with new approach of measurement of the concentration profiles, concerning the redistribution of substitution elements in close vicinity of welded joint of two different steels. These concentrations have been measured in three straight lines in a plane perpendicular to the weld interface. The concentration profiles have been evaluated from experimental data by modelling of diffusion based on 2nd Fick’s law. Original computation program for nonlinear regression was evolved based on Levenberg - Marquardt`s algorithm for evaluation of diffusivities and other quantities. Three groups of measured data enable variations in methodology of their processing. If each group is processed individually then the possible differences in mutual position of concentration profiles offers the view on chemical heterogeneity of welded joint.

You might also be interested in these eBooks

Materials Structure & Micromechanics of Fracture V

View Preview

Info:

Periodical:

Materials Science Forum (Volumes 567-568)

Pages:

305-308

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.567-568.305

Citation:

Cite this paper

Online since:

December 2007

Authors:

Lenka Řeháčková, Jaroslav Kalousek, Jana Dobrovská, Karel Stránský

Keywords:

Diffusion, Distribution of Elements, Modeling, Optimalization, Welding

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] L. Řeháčková, J. Kalousek, J. Dobrovská, K. Stránský, L. Dobrovský, Acta Metallurgica Slovaca 4 (2006) 388-398.

Google Scholar

[2] J. Kučera, P. Michalička, B. Million, A. Rek, R. Winkler, R., K. Stránský, Kovove Mater. 34 (1996) 336-348.

Google Scholar

[3] W. H. Press, S. A. Teukolsky, W. T. Vetterling, R. B. Flannery, Numerical Recipes in C, Cambridge University Press, second ed. (1992), pp.681-689.

DOI: 10.1017/s0263574700010675

Google Scholar

[4] ibid 609 - 689.

Google Scholar

[5] L. Řeháčková, J. Kalousek, J. Dobrovská, K. Stránský, Acta Metallurgica Slovaca 4 (2006) 399404.

Google Scholar

[6] J. Zhu, L. -Q. Chen, J. Shen, V. Tikare, Comp. Mater. Sci. 20 (2001) 37-47.

Google Scholar

[7] G. Dimmler, P. Weinert, E. Kozeschnik, H. Cerjak, Mater. Charact. 512 (2003) 341-352.

Google Scholar

[8] C. Schaffernak, H. Cerjak, Calphad 25 (2001) 241-251.

Google Scholar

[9] D. Zhang, J. E. Morral, H. D. Brody, Mater. Sci. Eng. A (2006), doi: 10. 1016/j. msea. 2006. 10. 078.

Google Scholar