Sensitivity analysis for transient heat conduction in a solid body ?Part II: Interface modification

A transient heat conduction problem within a thermal anisotropic multiphase solid body is formulated. An arbitrary thermal response functional defined over space and time domains is introduced and its first-order sensitivities with respect to variation of two kinds of interfaces are discussed. Both variations of shape and material properties of interface are considered. Sensitivity analysis is performed using the direct and adjoint approaches.