An extremal-variational principle for unsteady thermal conduction applied to thermoelastic problems using finite elements
Abstract
Unsteady temperature field including a known heat source is described by an extremal-variational principle in the function space. Finite element method (FEM) programs for one and two dimensional bodies were developed. Examples were compared with known solutions and experimental results. The so determined temperature profile was applied to the principle of virtual work. Corresponding thermal stresses were calculated. An FEM program developed for this purpose was tested with single examples. Results demonstrate the validity of the theory.
- Publication:
-
Thesis Ruhr Univ
- Pub Date:
- March 1983
- Bibcode:
- 1983ruhr.rept.....K
- Keywords:
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- Finite Element Method;
- Thermal Conductivity;
- Thermoelasticity;
- Unsteady State;
- Variational Principles;
- Computer Systems Programs;
- Function Space;
- Thermal Stresses;
- Two Dimensional Bodies;
- Fluid Mechanics and Heat Transfer