Vol.3, No 13, 2003 pp. 511-532
UDC 53.082.73: 539.4.011:551.324.85

METHODS FOR SOLVING PROBLEMS OF ELECTROELASTIC PIEZOELECTRIC BODIES WITH DEFECT APPLYING SPATIAL ANALYSIS IN MATLAB
Katica (Stevanović) Hedrih, Ljubiša Perić
Faculty of Mechanical Engineering University of Niš,
18000 Niš, Vojvode Tankosića 3/22, e-mail: katica@masfak.ni.ac.yu

In this paper a selective preview of methods applicable to piezoelectric bodies with initial defects under the assumption that they have infinite dimensions is given. Considered  is a semi-infinite crack which lies in the interior of the piezoelectric material. Characteristic quantities which affect the process of crack propagation under external mechanical stresses and electrical field polarization are determined. Using different methods, analytical solutions for the problems of piezoelectric materials were obtained for all three modes of crack deformation. Results  for a  PZT piezoceramic material gained spatial diagrams of state, numerically processed by computer programming in MATLAB, are presented. It is expected that the obtained solutions of such problems in the theory of electroelasticity can be directly used in engineering practice.
Key words: Piezoelectric bodies, defect, crack, analytical methods, numerical experiment, stress state, strain state, electric field state, visualization.

METODE ZA REŠAVANJE PROBLEMA  NAPREZANJA ELEKTROELASTIČNIH PIEZOELEKTRIČNIH TELA SA DEFEKTIMA PRIMENOM SPECIJALNE ANALIZE I MATLABA
U radu je dat pregled metoda koje su primenljive za izučavanje stanja mehaničkih napona, stanja deformacija i stanja električnog polja polarizacije u okolini vrha konstruktivne prsline u ploči beskonačnih dimenzija i od piezoelektričnog materijala. Korišćenjem različitih metoda proučena su analitička rešenja, kao i grafičke vizualizacije stanja mehaničkog napona, stanja deformacije i stanja električnog polja polarizacije u tačkama u okolini vrha prsline u ploči od piezokeramičkog materijala. Korišćene su mogućnosti MATLABA.
Ključne reči:  Piezoelektrično telo, prslina, defekt, analitičke metode, stanje napona,
stanje deformacija, električno polje, vizuelizacija, MATLAB.