RESEARCH PAPERS: Conduction Heat Transfer

Simultaneous Determination of Temperatures, Heat Fluxes, Deformations, and Tractions on Inaccessible Boundaries

[+] Author and Article Information
B. H. Dennis

Department of Aerospace Engineering, The Pennsylvania State University, University Park, PA 16802

G. S. Dulikravich

Department of Mechanical and Aerospace Engineering, The University of Texas, Arlington, TX 76019

J. Heat Transfer 121(3), 537-545 (Aug 01, 1999) (9 pages) doi:10.1115/1.2826014 History: Received August 14, 1998; Revised April 04, 1999; Online December 05, 2007


A finite element method formulation for the detection of unknown steady boundary conditions in heat conduction and linear elasticity and combined thermoelasticity continuum problems is presented. The present finite element method formulation is capable of determining displacements, surface stresses, temperatures, and heat fluxes on the boundaries where such quantities are unknown or inaccessible, provided such quantities are sufficiently overspecified on other boundaries. Details of the discretization, linear system solution techniques, and sample results for two-dimensional problems are presented.

Copyright © 1999 by The American Society of Mechanical Engineers
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