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R & D Activities

The Head of the Institute of Computational Mechanics and Optimization (Co.Mec.O) is Professor George E. Stavroulakis. The following topics of research in the broader areas of mechanics and optimization are developed in the Institute or within numerous collaborations with other academic or industrial groups:

Nonsmooth mechanics and optimization. Variational and hemivariational inequalities (theory, numerical approximation and applications)

Study of nonsmooth and possibly nonconvex problems in mechanics and technology by adopting tools of nonsmooth analysis and optimization. The mathematical models have the form of variational and hemivariational inequalities. Applications include unilateral contact effects, friction, elastoplasticity, semipermeability and flow in networks.

 

Unilateral contact problems, impact, friction. Applications (structures, machines, robotics, as well as virtual reality).
Unilateral contact, impact and friction arise in various technological applications. Modelling and numerical algorithms for static and dynamic problems are developed.

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contactfrictionmodel
Research and development in the field of computational mechanics (finite elements, boundary elements and combinations).
Theory and computer codes for the numerical approximation of structural analysis and multifield problems based on finite or boundary elements are studied in our group. Furthermore, parallelization methods and implementation on modern computers (like grids) is studied together with industrial partners.
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Optimal structural design of materials, products and structures. Shape and topology optimization.
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Optimal selection of shape, materials or control requires parametric modeling and efficient numerical optimization tools. Shape as well as topology optimization problems for structures, materials or mechanisms are studied.

 

Composite materials and structures. Numerical homogenization. Auxetic materials and applications.
Composites are extensively used in modern structures. The design of new composites requires the development of powerful numerical homogenization tools. Materials with innovative properties (like auxetics with negative Poisson’s ratio, or chiral microstructures) are studied and proposed for certain applications.

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Distribution of transverse shear stresses in the core of a cantilever beam with classical and auxetic material

 

Dynamics, vibration and control of structures. Optimal structural control (active, semi-active or passive). Mechatronics and applications. Acoustics.

‘all things go and nothing stays’ (Heraclitus ).

Structural dynamics, control and acoustics are studied with concrete practical applications. Computer codes, partially in modern computing environments (like MATLAB/SIMULINK) are developed. In structural control new developments of robust control and soft neuro-fuzzy controllers are proposed, with applications in mechatronics and aseismic design.
Structural identification and health monitoring.
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Finding unknown parameters or defects and cracks in existing structures is a difficult problem. Computational mechanics, optimization and soft computing can be used for the solution of these tasks.
Soft computing in mechanics (neural networks, fuzzy inference, genetic and evolutionary algorithms, hybrid methods).
Neural networks, fuzzy logic and other techniques of soft computing and artificial intelligence are explored and applied on practical problems of structural analysis, mechanics, structural control and identification. The results are innovative solutions to difficult problems and interesting topics for interdisciplinary research.
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Software development for all above applications.

Neural networks, fuzzy logic and other techniques of soft computing and artificial intelligence are explored and applied on practical problems of structural analysis, mechanics, structural control and identification. The results are innovative solutions to difficult problems and interesting topics for interdisciplinary research.

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