Vol.3, No 12, 2002 pp. 443-455
UDC 531:620.136:620.10
STRESS STATE AND DEFORMATION (STRAIN) ENERGY DISTRIBUTION AHEAD CRACK TIP
IN A PLATE SUBJECTED TO TENSION
Dragan B. Jovanović
Faculty of Mechanical Engineering, University of Niš
Beogradska 14, 18000 Niš
E-mail: jdragan@masfak.masfak.ni.ac.yu
Three-dimensional model of the plate, with the elliptical crack contour is used for analyzing of stress state and deformation energy, in this paper. It is assumed that tensile forces are applied at the direction perpendicular on the crack plane, and that stress state is two-dimensional in general (in remote regions). Three-dimensional stress state at the vicinity of crack front zone is evaluated by using of finite element method. Evidently, variation of stress tensor components is related to the coordinate perpendicular to the middle plane of the plate, and sigmaz is different from zero at the region nearby around the crack.
In this paper obtained results on stress and deformation (strain) energy distribution are analyzed, and conclusions about the three-dimensional stress state and three-dimensional energy distribution in the region close to crack front line are obtained.
Key words:  crack, stress state, specific deformation (strain) energy, reconstruction of deformation (strain) energy surfaces.
STANJE NAPONA I RASPORED ENERGIJE DEFORMACIJE (DILATACIJE) ISPRED VRHA PRSLINE
U PLOČI IZLOŽENOJ ZATEZANJU
U ovom radu je korišćen trodimenzionalni model ploče sa eliptičnom prslinom za analizu stanja napona i energije deformacije. Pretpostavljeno je dejstvo zatežućih sila u pravcu upravnom na ravan prsline i ravno stanje napona kao opšte (u području udaljenom od prsline). trodimenzionalno stanje napona Ustanovljeno je korišćenjem metode konačnih elemenata da u oblasti prsline vlada trodimenzionalno stanje napona. Promena komponenti tenzora napona je u funkciji koordinate upravne na srednju ravan ploče i sigmaz je različito od nule u oblasti neposredno oko prsline.
U radu su analizirani dobijeni rezultati o rasporedu napona i rasporedu deformacione energije i dobijeni su zaključci o trodimenzionalnom stanju napona i trodimenzionalnom rasporedu energije u neposrednoj okolini linije fronta prsline.
Ključne reči:  prslina, stanje napona, specifična energija deformacije,rekonstrukcija površina energije.