The general form of the elastic stress and displacement fields of the finite cracked plate

• Autorzy: Seif A. E. , Kabir M. Z.

Identyfikatory

DOI

10.15632/jtam-pl.54.4.1271

• Języki publikacji: EN

Abstrakty

EN

In this paper, the general forms of in-plane fields of a finite cracked plate have been achieved in the elastic range by expanding the potential functions of the infinite cracked plate about the crack tip. Subsequently, the stress intensity at the crack tip has been obtained. In addition, the numerical models have been provided by the finite element method.The effect of finite sizes on the stress and displacement fields has been detected and to validate the obtained analytical relations, the least-squares curve fitting has been used. Moreover, the calculated stress intensity correction factors have been compared with the existing results in the literature.

Słowa kluczowe

EN

finite cracked plate; least-squares curve fitting; general series form

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2016
• Tom: Vol. 54 nr 4
• Strony: 1271--1283
• Opis fizyczny: Bibliogr. 13 poz., rys., tab.

Twórcy

autor

Seif A. E.

• Department of Civil Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

autor

Kabir M. Z.

• Department of Civil Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran, Iran

Bibliografia

• 1. Chen C.H., Wang C.L., 2008, Stress intensity factors and T-stresses for offset double edge-cracked plates under mixed-mode loadings, International Journal of Fracture, 152, 149-162
• 2. Isida M., 1971, Effect of width and length on stress intensity factors of internally cracked plates under various boundary conditions, International Journal of Fracture Mechanics, 7, 301-316
• 3. Jones R., Peng D., Pitt S., Wallbrink C., 2004, Weight functions, CTOD, and related solutions for cracks at notches, Engineering Failure Analysis, 11, 79-114
• 4. Kiciak A., Glinka G., Burns D.J., 2003, Calculation of stress intensity factors and crack opening displacements for cracks subjected to complex stress fields, Journal of Pressure Vessel Technology, 125, 260-266
• 5. Meng G., Chen S., Liu H., Wang Z., 1998, The influence of plate size with double cracks on stress intensity factor, Communications in Numerical Methods In Engineering, 14, 429-436
• 6. Ng S.W., Lau K.J., 1999, A new weight function expression for through cracks, Engineering Fracture Mechanics, 64, 515-537
• 7. Rangelova T., Dinevab P., Gross D., 2003, A hyper-singular traction boundary integral equation method for stress intensity factor computation in a finite cracked body, Engineering Analysis with Boundary Elements, 27, 9-21
• 8. Rice J.R., 1972, Some remarks on elastic crack-tip stress fields, International Journal of Solids and Structures, 8, 751-758
• 9. Sadd M.H., 2005, Elasticity: Theory, Applications and Numerics, Elsevier Inc., Oxford
• 10. Sahli A., Boutchicha D., Belarbi A., Rahmani O., 2007, Stress intensity solutions for cracked plates by the dual boundary method, Strength of Materials, 39, 5, 513-522
• 11. Wu X.R., Carlsson J., 1983, The generalised weight function method for crack problems with mixed boundary conditions, Journal of The Mechanics and Physics of Solids, 31, 6, 485-497
• 12. Wu X.R., 1984, Approximate weight functions for center and edge cracks in finite bodies, Engineering Fracture Mechanics, 20, 1, 35-49
• 13. Wu X.R., Chen X.G., 1989, Wide-range weight function for center cracks, Engineering Fracture Mechanics, 33, 6, 877-886

Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniajacą naukę.