Abstract
This work presents a method for computing the diffusion coefficients during post-discharge nitriding through an inverse problem of coefficient identification in a model of the quasi-steady state. The related moving boundary diffusion problem is modeled by the authors taking into account the observed qualitative behaviour of the nitriding process in a laboratory. A constrained Goodman's type model is proposed to simulate the concentration profiles of the layers at the quasi-steady state. To develop an algorithm for the identification of the diffusion coefficients, using experimental data of the concentrations at different levels of depth, a least squares problem is solved. The solution method is reduced, with some algebraic manipulations, into a simple geometrical rule. Finally, the approach is applied when data errors are taken into account and a regularization algorithm is proposed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.