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

Schedule

I. FIRST STAGE
No of stage Content of the stage and planned activities Duration of the stage and concrete activities (months) Expected results
1 Investgation of mechano-mathematical models describing the processes in 2D cracked piezoelectric materials subjected under coupled dynamic loads using hybrid approach based on elastodynamic and dynamic fracture mechanics. 12 Solution of the direct problem and simulation studies for the sensitivity of the Stress Intensity Factor near the crack-tip to the input data and parameters of the used mechanical models.
2 Formulation of the problem describing Reaction-Diffusion Cellular Neural Network models for the crack identification in piezoelectric materials. 12 Solution of the inverse problem and validation of the results for identification of the geometrical and mechanical crack’s characteristics in piezoelectric materials.
3 Applying the non-hypersingular traction based Boundary Integral Equation methodology for solution of the proposed models and evaluation of the fracture state of cracked in-plane or anti-plane finite piezoelectric solids under combined electro-mechanical dynamic load. 6 Evaluation of the accuracy and validation of the theoretical and numerical tools for solution of the direct and inverse problems on the base of the existing test examples.
4 Investigation and development of different Cellular Neural Network models based on discrete schemes, study the properties of the solutions and the corresponding Cellular Neural Network’s. 6 Obtaining of analytical and numerical solutions for different Cellular Neural Network models.
5 Preparation of publication of the obtained results in scientific journals on Applied Mathematics and Mechanics and on Applied Informatics. 18 Publications and reports of the obtained results.
6 Development of the website of the project with on-line computational tools. 18 Internet website of the project.
II. SECOND STAGE
No of stage Content of the stage and planned activities Duration of the stage and concrete activities (months) Expected results
1 Development of the numerical schemes and computational tool for solution of the posed problems. 6 Validated scientific software.
2 Interpretation of the obtained results and implementation of the derived algorithms on a Cellular Neural Network -based architecture which represents a novel computing paradigm. 6 Algorithm for identification of the crack parameters (length, location, Stress Intensity Factor) with Cellular Neural Network, using data by the Boundary Integral Equation Method solution of the direct problems.
3 Simulation study for different boundary value problems describing different scenarios of cracked finite homogeneous and inhomogeneous piezoelectric solids subjected under electro-mechanical dynamic loads. 12 Parametric studies using data for existing piezoelectric materials with cracks.
4 Preparation of publication of the obtained results in scientific journals on Applied Mathematics and Mechanics and on Applied Informatics. 18 Publications and reports of the obtained results. Presentations of the obtaining new results concerning models, methodology, solutions and their application on scientific seminars and conferences.
5 Managements and support of the website. 18 Useful internet product as for information’s aim so for educational aim directed to MSc and PhD students.

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