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TECHNICAL PAPERS: Thermal Systems

A Finite Element Formulation for the Determination of Unknown Boundary Conditions for Three-Dimensional Steady Thermoelastic Problems

[+] Author and Article Information
Brian H. Dennis

Institute of Environmental Studies, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, Japan 113-8656e-mail: dennis@garlic.q.t.u-tokyo.ac.jp

George S. Dulikravich

Department of Mechanical and Materials Engineering, Florida International University, 10555 West Flagler Street, Miami, FL 33174, USAe-mail: dulikrav@fiu.edu

Shinobu Yoshimura

Institute of Environmental Studies, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, Japan 113-8656e-mail: yoshi@q.t.u-tokyo.ac.jp

J. Heat Transfer 126(1), 110-118 (Mar 10, 2004) (9 pages) doi:10.1115/1.1640360 History: Received July 31, 2002; Revised September 08, 2003; Online March 10, 2004
Copyright © 2004 by ASME
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References

Figures

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Surface mesh for cylinder test case
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Direct problem: computed isotherms when both inner and outer boundary temperatures were specified
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Inverse problem: computed isotherms when only outer boundary temperatures and fluxes were specified
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Direct problem: computed normal stress magnitude when both inner and outer boundary conditions were specified
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Inverse problem: computed normal stress magnitude when only outer boundary conditions were specified
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Average percent error of predicted temperatures on unknown boundaries for regularization method 1 for cylinder region
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Average percent error of predicted temperatures on unknown boundaries for regularization method 2 for cylinder region
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Average percent error of predicted temperatures on unknown boundaries for regularization method 3 for cylinder region
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Surface mesh for multiply connected domain test case
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Direct problem: computed isotherms when both inner and outer boundary temperatures were specified
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Inverse problem: computed isotherms when only outer boundary temperatures and fluxes were specified and using regularization method 1
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Inverse problem: computed isotherms when only outer boundary temperatures and fluxes were specified and using regularization method 2
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Inverse problem: computed isotherms when only outer boundary temperatures and fluxes were specified and using regularization method 3 (Inverse and Direct contours plotted together)
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Inverse problem: computed isotherms on x−y plane at z=0.5 m when only outer boundary temperatures and fluxes were specified
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Inverse problem: computed displacement magnitude on x−y plane at z=0.5 m when only outer boundary displacements and tractions were specified
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Inverse problem: computed isotherms on x−y plane at z=2.5 m when only outer boundary temperatures and fluxes were specified
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Inverse problem: computed displacement magnitude on x−y plane at z=2.5 m when only outer boundary displacements and tractions were specified
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Inverse problem: computed isotherms on x−y plane at z=4.5 m when only outer boundary temperatures and fluxes were specified
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Inverse problem: computed displacement magnitude on x−y plane at z=4.5 m when only outer boundary displacements and tractions were specified

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