Project No DID 02/15, “Ideas“ Competition 2009

Research Program

Investigation of mechano-mathematical models describing the processes in 2D cracked piezoelectric solids subjected under coupled dynamic loads using hybrid approach based on elastodynamic and dynamic fracture mechanics.
Study of non-hypersingular traction based Boundary Integral Equation (BIE) methodology for solution of the proposed models and evaluation of the fracture state of cracked in-plain or anti-plane finite piezoelectric solids under combined electro-mechanical dynamic load.
Formulation of the problem describing Reaction Diffusion - Cellular Neural Network (RD-CNN) models for the crack identification in piezoelectric solid. Development of the interface between both used methods.
Creation of validated numerical schemes and based on them software that presents computational tool for solution of the posed problems.

Obtaining the solutions (analytical and numerical) and develop different CNN models based on discrete schemes, study the properties of the solutions and the corresponding CNN's.
Interpretation of the obtained results, implementation of the derived algorithms on a CNN-based architecture which represents a novel computing paradigm.
Simulation study for different boundary value problems describing different scenarios of cracked finite homogeneous and inhomogeneous piezoelectric solids subjected under electromechanical dynamic loads.
Revealing of the existing phenomena in the used mechanical models and physical interpretation of the obtained results for both near tip solutions for stress concentrations with application in fracture mechanics and estimation of far-field solutions with its application in solution of inverse problems for identification of cracks' geometrical and mechanical parameters.