(a) Cross-property connections: expression of elastic properties of inhomogeneous materials in terms of electric (thermal) conductivities
(b) Optimization of microstructures of thermal barrier coatings (plasma sprayed and physical vapor deposited) and technological parameters for plasma spraying process.
(c) Optimization of technological parameters of resin film infusion processing.
(d) Fracture processes in ceramics under thermal loading and drying.
(e) Material design: selection of constituents and technological processing for preparation of materials with prescribed mechanical properties.
(f) Calculation of effective mechanical and conductive properties.
(a) Modeling of elastic properties of cortical bone, recovery of information on the microstructure of cortical bone from elastic and conductive properties.
(b) Modeling of hydroxyapatite plasma sprayed coatings.
(c) Design of composite materials for surgical bone implants.
(a) Boundary value problems for piezoelectric and magnetostrictive materials;
(b) Boundary value problems for orthotropic elastic materials.