Raimund J. Rolfes
Important application areas for thermal analysis of aerospace structures are listed. The modes of heat transfer are described briefly. Starting from the laws of thermo-dynamics the general heat conduction equation is derived. Fourier's law as the constitutive law for heat conduction is discussed, the appearance of the conductivity tensor for different material classes is described. Special methods for inhomogeneous and anisotropic materials (composites, sandwiches) as homogenization and thermal lamination theories are mentioned. Some typical temperature-dependent thermo-physical properties for aerospace materials are provided. Convective as well as radiative boundary conditions are treated. Radiation exchange between different structural parts is also covered. The general finite element equation system for nonlinear transient heat transfer problems is derived. Solution schemes including explicit and implicit time integration are derived and discussed.