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Summary

The demand for smaller and faster devices has encouraged technological advances resulting in the ability to manipulate matter at nanoscales that have enabled the fabrication of nanoscale electromechanical systems. With the advances in materials synthesis and device processing capabilities, the importance of developing and understanding nanoscale engineering devices has dramatically increased over the past decade. Computational Nanotechnology has become an indispensable tool not only in predicting, but also in engineering the properties of multi-functional nano-structured materials. The presence of nanoinclusions in these materials affects or disturbs their elastic field at both local and global scale and thus greatly influences their mechanical properties.

 

The main aim of the project is to propose, develop and validate computational Boundary Integral Equation (BIE) and Cellular Nonlinear Network (CNN) tools and apply them in numerous simulations for different mechanical models. These techniques are based on the application of the theory of integro-differential equations for solving dynamic coupled problems in multifunctional nano-heterogeneous piezoelectric and magnitopiezoelectric composites.

 

The working plan has a strong multidisciplinary character and requires the involvement of research groups and experts from different fields such as pure and applied mathematics, solid mechanics, piezoelectricity, computational nanomechanics for coupled problems, and theory of wave propagation.

 

The obtained results are expected to be original, innovative and important for the field of computational nanomechanics since they concern solutions of wave propagation problems in piezoelectric/magnitopiezoelectric solids containing multiple nano-inclusions. The mechanical models are based on the principles of piezoelectricity, wave propagation theory and surface/interface elasticity theory. Nano-heterogeneities are considered in two aspects as wave scatteres provoking scattered and diffraction wave fields and also as stress concentrators creating local stress concentrations in the considered solid. The final product is an efficient package of innovative knowledge which will improve the performance and predict the reliable service lifetime of nano-heterogeneous multifunctional hi-tech materials. The combination of these highly complementary aspects gives a strong innovative character to this research project.

News

Conferences

  • Fourth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES 2017), 18-22 June 2017, Sofia
  • Third International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES 2016), 4-9 July 2016, Sofia

 

Seminars