The development of new modern, multifunctional, hi-tech materials is a key issue in ‘smart‘structures technology. Defects and cracks are commonly present in these materials, both during the manufacturing process and afterwards under service conditions.
The main aim of the project is to propose, develop, validate and apply a new accurate and efficient hybrid Boundary Integral Equation (BIE) - Cellular Neural Network (CNN) approach for evaluation of stress-strain distribution in 2-D cracked piezoelectric solids and solution of inverse problems for identification of their geometrical and mechanical properties.
The proposed new BIE–CNN method, algorithms and software for solving BVPs in piezoelectric continua with singularities is multidisciplinary and concerns: pure and applied mathematics, mechanics of continuum, computational fracture mechanics, theory of wave propagation and non-destructive evaluation method. The solution method for the direct problem is non-hypersingular traction based BIEM. The theoretical investigations for solving inverse problems for cracked piezoelectric solid will be done by CNN approach.
This analysis will be in help to improve the performance and to predict the reliable service lifetime of piezoelectric components. The obtained numerical results evaluate the effects of the piezoelectricity, inhomogeneity, crack existence, crack-crack and crack-wave interactions, stress concentrations and coupled material properties on the complex dynamic stress field caused by the dynamic electro-mechanical loads.
The obtained results can be used for the aims of the dynamic fracture mechanics as far as dynamic stress concentration fields are calculated, but also these results can be applied in ultrasonic nondestructive testing for evaluation of cracked and fracture state of the piezoelectric materials.
The research projects and programs of IMI have been carried out in a close collaboration within Bulgarian and international joint scientific teams...
Institute of Mathematics and Informatics
Institute of Mechanics
New Bulgarian University
National Science Fund
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