ELASTIC PLASTIC CRACK ANALYSIS BY FINITE ELEMENT METHOD UNDER MIXED MODE LOADING CONDITIONS
Keywords:
Crack growth, J-integral, deleted element, simulationAbstract
The modeling of crack growth in ductile material is presented in this paper. The direction of the crack is assumed to follow the maximum principle normal stress. The material is modeled to be of elasticplastic behavior and the fracture criterion used is Rice’s J-Integral. The crack is modeled to start from a rectangular notch and propagation of the crack tip is represented by the deleted element mechanism. The crack growth direction was validated by experiments and good agreement with the simulation is
observed.
References
Dugdale, D. S., Pawliska, P., & Richard, H. A. (1992). Elastic–plastic crack analysis under mixed-mode loading conditions. International Journal of Fracture, 57, 249–252.
Erdogan, F., & Sih, G. C. (1963). On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering, 85, 519–527.
Ghosal, A. K., & Narasimhan, R. (1996). Numerical simulation of hole growth and ductile fracture initiation under mixed-mode loading. International Journal of Fracture, 77, 281–304.
Hoff, R., Rubin, C. A., & Hahn, G. T. (1986). A new finite element technique for modeling stable crack growth. Engineering Fracture Mechanics, 23, 105–118.
James, M. (1998). A plane stress finite element model for elastic–plastic mode I/II crack growth (Doctoral dissertation). Kansas State University, United States.
Liu, A. F. (1998). Structural life assessment methods. ASM International.
Nasir, T. (1988). Elasto-plastic finite element formulation and numerical study of a compact tension (CT) fracture specimen. Buletin Jentera, 7, 53–67.
Rice, J. R., & Rosengren, G. F. (1968). Plane strain deformation near a crack tip in a power-law hardening material. Journal of the Mechanics and Physics of Solids, 16(1), 1–12.
Sih, G. C. (1974). Strain-energy-density factor applied to mixed mode crack problems. International Journal of Fracture, 10, 305–321.
Smith, R. N. L. (1987). Maximum principal stress criterion. Engineering Fracture Mechanics, 26, 463–469.
Waryznek, P. (1991). A two-dimensional crack propagation simulator. International Journal of Fracture, 49, 281–304.








