Please use this identifier to cite or link to this item:
http://hdl.handle.net/11375/11859
Title: | Computational Methods for the Optimal Reconstruction of Material Properties in Complex Multiphysics Systems |
Authors: | Bukshtynov, Vladislav |
Advisor: | Protas, Bartosz |
Department: | Computational Engineering and Science |
Keywords: | parameter estimation;material properties;constitutive relations;optimization;nonequilibrium thermodynamics;continuum mechanics;adjoint analysis;integration on level sets;Control Theory;Other Applied Mathematics;Control Theory |
Publication Date: | Apr-2012 |
Abstract: | <p>In this work we propose and validate a computational method for reconstructing constitutive relations (material properties) in complex multiphysics phenomena based on incomplete and noisy measurements which is applicable to different problems arising in nonequilibrium thermodynamics and continuum mechanics. The parameter estimation problem is solved as PDE–constrained optimization using a gradient–based technique in the optimize–then–discretize framework. The reconstructed material properties taken as an example here are the transport coefficients characterizing diffusion processes such as the viscosity and the thermal conductivity, and we focus on problems in which these coefficients depend on the state variables in the system. The proposed method allows one to reconstruct a smooth constitutive relation defined over a broad range of the dependent variable. This research is motivated by questions arising in the computational analysis and optimization of advanced welding processes which involves modelling complex alloys in the liquid phase at high temperatures.</p> |
URI: | http://hdl.handle.net/11375/11859 |
Identifier: | opendissertations/6795 7816 2464806 |
Appears in Collections: | Open Access Dissertations and Theses |
Files in This Item:
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fulltext.pdf | 1.46 MB | Adobe PDF | View/Open |
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