Sensitivity analysis and optimal design of external boundaries and interfaces for heat conduction systems

摘要

A heat conduction problem within a thermal anisotropic solid body is formulated. With respect to an arbitrary thermal functional defined over space domain, its first-order sensitivities with respect to variation of structural material parameters as well as external boundary and internal interface are derived using the direct and adjoint approaches. Next, the application of derived sensitivity expressions in optimizing thermal systems is Presented and illustrated by some examples.