1. Investigation of two -dimensional in-plane (P- SV) and anti-plane (SH) wave propagation problems in piezoelectric/magnitopiezoelectric anisotropic solids containing multiple nano-inclusions.

2. Development of displacement BIEM and CNN for numerical solution of integro-differential equations for computation of scattered wave field at any point in the considered multifunctional material with different type of nano-inclusions: nano-tubes and nano-wires.

3. Studies regarding the proposed methodology by BIEM and CNN, based on solution of validation examples and benchmark problems.

4. Results on general theory of differential and integral equations and program products for application to project tasks.

5. Preparation of publications of the obtained results in scientific journals on Applied Mathematics and Mechanics and Applied Informatics.

1. Intensive numerical simulations revealing the role of the surface/interface tension phenomena, specific interfacial properties, arbitrary number, shape, location and geometrical configuration of nano-inclusions on both wave scattered and dynamic stress concentration fields.

2. Generation of the package of knowledge for 2D dynamic behavior of heterogeneous piezoelectric /magnitopiezoelectric solids with nano-inclusions of different type: nano-tubes and nanowires consisitings of: mechanical models; BIEM and CNN software; simulation results for scattered wave field and for non-uniform dynamic stress distribution.

3. Studies regarding the proposed methodology by BIEM and CNN, based on solution of validation examples and benchmark problems.

4. Results on general theory of differential and integral equations and program products for application to project tasks.

5. Preparation of publications of the obtained results in scientific journals on Applied Mathematics and Mechanics and Applied Informatics.