Correction: Sejnoha, M. et al. Mori-Tanaka Based Estimates of Effective Thermal Conductivity of Various Engineering Materials. Micromachines 2011, 2, 129–149

We have discovered a mistake in our original derivation related to the definition of the apparent conductivity due to orientation averaging. Equation (23) needs to be corrected to

$${\tilde{\chi }}^{(s)}=\frac{《{\chi }^{(s)}{T}^{(s)}》}{《T^{(s)}》}$$

(23)

and the similar adjustment needs to be made in the two-dimensional case:

$${\tilde{\chi }}^{(s)}=\frac{{《{\chi }^{(s)}{T}^{(s)}》}_{2\text{D}}}{{《T^{(s)}》}_{2\text{D}}}$$

(38)

Finally, Equation (39) and the corresponding text becomes: ”…, define a certain indicator of the real microstructure k_corr, e.g. as a ratio of the modified and original partial temperature gradient concentration factors

$$k_{\text{corr}}=\frac{{\tilde{T}}_{\text{cir}}^{(1)}}{T_{\text{cir}}^{(1)}}$$

(39)

now determined for circular inclusions.”

We apologize to readers for any inconvenience.