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

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Objectives

The aim of the present work is to propose, develop, validate, create efficient software and apply in intensive simulations a new extended hybrid BIE-CNN approach for solution of direct dynamic fracture problems and inverse problems for identification of geometrical and mechanical properties of 2-D cracked finite piezoelectric solids.

More in detail, the following research objectives are defined:

• To create the adequate mechanical models for dynamic behavior of multifunctional piezoelectric cracked materials, solids and fields
• To develop and validate the computational tool based on the non-hypersingular traction based BIEM for solution of the posed BVPs: accuracy study, validations, evaluations of the obtained singular integrals and their solutions, developing of Green functions and fundamental solutions for the governing equations of the piezoelectricity.
• To evaluate the sensitivity of the dynamic stress concentration fields near the crack tips on:
• the structural and crack geometry (finite/ infinite solids; multilayered structures; linear and curvilinear cracks)
• the type of the boundary conditions (impermeable, permeable, limited permeable cracks)
• the coupled character of the electromechanical continuum
• the type and characteristics of the dynamic load (transient, time-harmonic, P-SV wave or SH-wave, pure electrical, pure mechanical or hybrid electro-mechanical load)
• the type of the material: anisotropic, homogeneous/inhomogeneous, different type of piezoceramics
• the wave-crack, crack-crack, crack-hole, crack-inclusion and crack-structure interactions at solution of different BVPs based on the proposed models and tools
• Simulations with possible applications for durability and reliability of different elements and structures made by piezoelectric materials and used in almost all domains of industry from telecommunications to aircraft, aerospace, automobile, civil structures, biomechanics and environment. Simulations are for piezoelectric sensors and actuators with a prescribed geometry, mechanical properties and load regime. The obtained results are with engineering application in hi-tech industry.
• Development of the interface between BIE- and CNN – methods for solution of inverse problems for identification of the geometry and electro-mechanical fracture state of cracked piezoelectric solids. Solution of test examples, validation, accuracy study.
• Simulations concerning identification of the crack position, crack sizes, crack shape and stress concentration fields in a piezoelectric solids at different loading regimes by the proposed hybrid BIE-CNN approach.
• Development of software packages based on the developed models and computational algorithms, the implementation of the derived algorithms in a CNN-based architecture, which represents a novel computing paradigm.

Additionally the following training objectives are posed:

• To introduce both PhD students and experienced researchers to the proposed interdisciplinary research field which needs mathematicians, physicists, continuum and computational mechanical specialists and non-destructive engineers to meet the difficulties in modeling, computation and simulations.
• To create a research team basing on young and experienced specialists from different fields and different research units IMI and IM in BAS and CSD in NBU. It is obvious that the training of researchers in the studied field cannot be handled by one science unit, but requires a collaborative effort to identify and conduct interdisciplinary-type of research, to develop appropriate courses and educational material and finally produce engineering information for the hi-tech design profession.