BG
Project aim
The aim of the project is to propose, develop, validate, create efficient software and apply in intensive simulations for different mechanical models a computational tool based on the application of the theory of integro-differential equations for solving 2D dynamic coupled problems in multifunctional nano-heterogeneous piezoelectric and magnitopiezoelectric composites.
In more details, the following research objectives are defined:
- Modeling and solution of two-dimensional in-plane (P- SV) and anti-plane (SH) wave propagation problems in piezoelectric/magnitopiezoelectric anisotropic solids containing multiple nano-inclusions. The model is based on the principles of elastodynamics, 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.
- Development of an efficient numerical software basing on the theory of integro-differential equations for computation of: (a) scattered wave field at any point in the considered multifunctional material with different type of nano-inclusions: nano-tubes and nanowires; (b) non-uniform stress distribution and evaluation of the local stress concentration fields near nano-inclusions.
- Accuracy and convergence studies regarding the proposed methodology (BIEM or CNN) based on solution of reference examples and benchmark problems.
- Extensive numerical simulations in order to reveal the role of surface/interface phenomena, interfacial properties, arbitrary number, shape, location and geometrical configuration of nano-inclusions on both wave scattered and dynamic stress concentration fields.
- Generation of the package of knoledwge for 2D dynamic behavior of heterogeneous piezoelectric/magnitopiezoelectric solids with nano-inclusions of different types (nano-tubes and nanowires) consisitings of: (*) mechanical models, (*) BIEM/CNN software, (*) simulation results for scattered wave field and for non-uniform dynamic stress distribution. The aim is to demonstrate the wave field sensitivity to the shape, size, number, geometrical configuration of multiple nanoinclusions and surface/interface effects. In this project, the effect of surface/interface stress on the macroscopic dynamic scattered wave field and stress concentration around nano-inclusions will be evaluated in details.
- The obtained results and conclusions may be potentially useful for characterizing the mechanical stabilities of an array of nanowires or nano-tubes structures made by piezoelectric or magnetopiezoelectric material under different types of dynamic loads.
News
- 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