192 Computational Mechanics of Composite Materials where vr is the reinforcement volume fraction,while ki,k2 are heat conductivity coefficients of composite components such that ki>k2. Furthermore,the sensitivities of effective heat conductivity with respect to those characterising original composite components are determined:the computations are performed using the mathematical package MAPLE.All the results of the numerical experiments are presented in Figures 4.1-4.9:the effective heat conductivities for the 1D,2D and 3D composites are plotted in Figures 4.1- 4.3,their material sensitivities with respect to design variable ki in Figures 4.4- 4.6,while sensitivity studies with respect to the parameter k2 are presented in Figures 4.7-4.9. 1- 16 14 12 04 03020 Figure 4.1.Effective heat conductivity for 1D composite 05 04时 03 02 01 05 04 k15 03 02 100 01 Figure 4.2.Material sensitivity of in 1D problem to k 05 04 03时 02 01 05 0102w0304 10 Figure 4.3.Sensitivity of in ID problem to192 Computational Mechanics of Composite Materials where vf is the reinforcement volume fraction, while k1, k2 are heat conductivity coefficients of composite components such that k1>k2. Furthermore, the sensitivities of effective heat conductivity with respect to those characterising original composite components are determined: the computations are performed using the mathematical package MAPLE. All the results of the numerical experiments are presented in Figures 4.1-4.9: the effective heat conductivities for the 1D, 2D and 3D composites are plotted in Figures 4.1- 4.3, their material sensitivities with respect to design variable k1 in Figures 4.4- 4.6, while sensitivity studies with respect to the parameter k2 are presented in Figures 4.7-4.9. Figure 4.1. Effective heat conductivity for 1D composite Figure 4.2. Material sensitivity of k(eff) in 1D problem to k1 Figure 4.3. Sensitivity of k (eff) in 1D problem to vf