Plenary Lecture

Non-Stationary Response of a Beam for a New Rheological Model

Professor Olga Martin
Applied Sciences Faculty
University “Politehnica” of Bucharest

Abstract: In the last twenty years, the fractional derivative is used in many fields, such as rheology, control systems, heat transfer, fluid mechanics, electro-chemistry. In contrast to integer order derivative that depends on the local conditions of the function, the fractional derivative depends on the time history of the function and because of this, it is used to study the hereditary processes.
For beginning, the paper is intended to provide the quasi-static and classical dynamic analysis of beam for a viscoelastic material model. Then, the results were extended to a fractional Zener model that has been studied using the techniques of Laplace transform and binomial series. An example proves the accuracy of the solution for a simply-supported beam subjected to a uniform distributed load. Theoretical and numerical solutions can be easily used to calculate the complex structures configurations.

Brief Biography of the Speaker: Olga Martin graduated the Faculty of Mathematics and Mechanics, University of Bucharest, Romania. She received his PhD in mathematics with the specialization in Dynamic Plasticity with paper work ‘Applications of the Finite Element Method in Dynamic Plasticity’. During of twenty years, she had been senior researcher in Aircraft Institute, Strength Materials Department. Technical experience: structural strength computing reports using ANSYS program (wing-fuselage, fuselage frame, fin, elevator, rudder and aileron), dynamic and static test-programs for aircraft structures, fatigue test-programs for aircraft structures, iterative methods for the study of the reactions, which correspond to movable control surfaces, attached at n – points to an elastic structure and program of this, static and fatigue computation of the propeller (mono-bloc hub, blades and blades retention system). Nowadays, she is Professor at Applied Sciences Faculty, University “Politehnica” of Bucharest.
Fields of specialization: Mathematical Analysis, Mathematical Physics, Computational and Experimental Solid Mechanics, Plasticity Dynamics, Structural Strength Calculus, Numerical Analysis, Statistical Calculus. She has published over 98 research papers and 18 books. Member of the editorial boards: Politehnica Sci. Bull. Series A, WSEAS Transactions on Applied and Theoretical Mechanics and she was involved in the program/organizing committees for many international conferences. Membership of Professional Societies: Society of Computer Aided Engineering – Member National Union of Romanian Scientists (Founding member), Balkan Society of Geometers member, Romanian Society of Mathematicians. Reviewer: WSEAS Press (books and journals), Scientific Bulletin, University “Politehnica” of Bucharest, Acta Mathematica Universitatis Comenianae, Journal of Quantitative Spectroscopy and Radiative Transfer. Scientific Evaluation Societies: RELANSIN, University “Politehnica” of Bucharest, ARACIS, Bucharest, Bucharest, National Science Fund of Bulgaria, Executive Unit for Research Development and Innovation of Romania.