APPLICATION OF THE FINITE ELEMENT METHOD TO HEAT CONDUCTION IN SOLIDS
ROHM AND HAAS CO HUNTSVILLE AL REDSTONE RESEARCH LABS
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A new numerical method for the solution of heat conduction problems in thermally anisotropic, nonhomogeneous bodies of complex geometry was devised which is based on a discretization concept developed in the matrix analysis of structures. This discretization method, commonly referred to as the finite element method, reduces the problem formulation to the solution of a matrix equation for the nodal point temperatures of the assembly of finite elements. The resulting matrix equation is stable for any time step. The method is extremely flexible and easy to apply. The method was applied by writing a computer program for the solution of heat conduction problems in plane, thermally anisotropic, nonhomogeneous bodies.
- Theoretical Mathematics