NDLI: Spatial Modulation and Filtering of Diffusion Patterns for Inverse Analysis of Heat Deposition

Content Provider	Springer Nature Link
Author	Lambrakos, S. G.
Copyright Year	2010
Abstract	General parameterizations are constructed for spatial modulation and filtering of heat diffusion patterns according to general energy deposition characteristics occurring within a volume of material resulting from a volumetrically coupled energy source. These parameterizations include previously constructed models of energy deposition as special cases. The construction of a general parameterization of energy deposition processes is necessary for their inverse analysis. The structure of such a parameterization follows from the concepts of model and data spaces that imply the existence of an optimal parametric representation for a given class of inverse problems. Accordingly, the optimal parametric representation is determined by the characteristics of the available data, which in principle can contain both experimental measurements and numerical simulation data. Parameterizations for spatial modulation and filtering of heat diffusion follow from the observation that many different types of energy deposition processes can be represented by weighted sums of basis functions whose general forms are that of spatially modulated or filtered diffusion. A significant aspect of the parameterizations presented is that the definition of the inverse heat deposition problem, which is adopted for their construction, provides a rigorous foundation for a highly flexible and general parameterization of energy deposition processes, which is essential for their inverse analysis. A preliminary proof is presented that shows the significance of these parameterizations for the application of similarity transformations to the inverse analysis of energy deposition processes. The applicability of similarity transforms to the inverse analysis of heat deposition is another property that follows from the specific definition of the inverse heat deposition problem considered here.
Starting Page	1104
Ending Page	1115
Page Count	12
File Format	PDF
ISSN	10599495
Journal	Journal of Materials Engineering and Performance
Volume Number	19
Issue Number	8
e-ISSN	15441024
Language	English
Publisher	Springer US
Publisher Date	2010-01-21
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	joining modeling processes welding Engineering Design Quality Control, Reliability, Safety and Risk Tribology, Corrosion and Coatings Materials Science Characterization and Evaluation of Materials
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Materials Science Mechanical Engineering

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