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.
