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

1999 ◽  
Vol 121 (3) ◽  
pp. 537-545 ◽  
Author(s):  
B. H. Dennis ◽  
G. S. Dulikravich
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Linear System ◽  
Heat Fluxes ◽  
Two Dimensional ◽  
System Solution ◽  
Method Formulation ◽  
Element Method

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.

Simultaneous Determination of Steady Temperatures and Heat Fluxes on Surfaces of Three Dimensional Objects Using FEM

2001 ◽  
Author(s):  
Brian H. Dennis ◽  
George S. Dulikravich
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Heat Conduction ◽  
Three Dimensional ◽  
Heat Fluxes ◽  
Multiply Connected ◽  
Three Dimensional Objects ◽  
Solid Objects ◽  
System Solution

Abstract A finite element method (FEM) formulation is presented for the prediction of unknown steady boundary conditions in heat conduction on multiply connected three-dimensional solid objects. The present FEM formulation is capable of determining temperatures and heat fluxes on the boundaries where such quantities are unknown or inaccessible, provided such quantities are sufficiently over-specified on other boundaries. Details of the discretization, linear system solution techniques, regularization, and sample results for 3-D problems are presented.

The Application of Finite Element Method in Calculating Two-Dimensional Heat Conduction in the Ground

2014 ◽  
Vol 988 ◽  
pp. 479-482
Author(s):  
Hui Zhang ◽  
Jing Zhang
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Temperature Field ◽  
Heat Conduction ◽  
Soil Temperature ◽  
Heat Conduction Problem ◽  
Two Dimensional ◽  
The Finite Element Method ◽  
The Mathematical Model ◽  
Element Method

This thesis simulated the principle of the fast heat conductivity testing instrument, introduced how to use the finite element method to calculate two-dimensional unstable heat conduction condition. When establish the mathematical model, the article simplifies the soil temperature field as the two-dimensional non-stable heat conduction problem. Through computation it can get the soil temperature field at any moment in the running time and the plan uniform temperature lines, that also may obtain the change of temperature about one point in the process. The method is simple and credible. These solutions of these questions are the foundation of research the heat conduction in the ground and the temperature field.

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