Mixed-mode I/II fields around a crack with a cohesive zone ahead of the crack tip

Mechanics Research Communications

Volumn 34, Issue 2, 2007, Pages 172-180

  Zhang, Wei ^a   Deng, Xiaomin ^a  

^a University of South Carolina   (United States)

Author keywords

Cohesive zone; Crack; Mixed mode; Stress fields

Indexed keywords

ELASTICITY; PROBLEM SOLVING; STRESS ANALYSIS;

COHESIVE ZONE; MIXED-MODE; STRESS FIELDS;

CRACKS;

EID: 33750533604     PISSN: 00936413     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mechrescom.2006.09.007     Document Type: Article

References (18)

1. Barenblatt G.I. The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 7 (1962) 55-129
2. Bilby B.A., Cottrell A.H., and Swinden K.H. The spread of plastic yield from a notch. Proc. Roy. Soc. A 272 (1963) 304-314
3. Chao Y.J., and Liu S. On the failure of cracks under mixed-mode loads. Int. J. Fract. 87 (1997) 201-223
4. Costanzo F., and Walton J.R. Numerical simulations of a dynamically propagating crack with a nonlinear cohesive zone. Int. J. Fract. 91 (1998) 373-389
5. Dugdale D.S. Yielding of steel sheets containing slits. J. Mech. Phys. Solids 8 (1960) 100-104
6. Foulk J.W., Allen D.H., and Helms K.L.E. Formulation of a three-dimensional cohesive zone model for application to a finite element algorithm. Comput. Meth. Appl. Mech. Eng. 183 (2000) 51-66
7. Hillerborg A., Modéer M., and Petersson P.E. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement Concrete Res. 6 (1976) 773-782
8. Hong S., and Kim K.S. Extraction of cohesive-zone laws from elastic far-fields of a cohesive crack tip: a field projection method. J. Mech. Phys. Solids 51 (2003) 1267-1286
9. Li H., and Chandra N. Analysis of crack growth and crack-tip plasticity in ductile materials using cohesive zone models. Int. J. Plasticity 19 (2003) 849-882
10. Needleman A. A continuum model for void nucleation by inclusion debonding. ASME J. Appl. Mech. 54 (1987) 525-531
11. Roychowdhury S., Roy Y.D., and Dodds R.H. Ductile tearing in thin aluminum panels: experiments and analyses using large-displacement, 3-D surface cohesive elements. Eng. Fract. Mech. 69 (2002) 983-1002
12. Ruiz G., Pandolfi A., and Ortiz M. Three-dimensional cohesive modeling of dynamic mixed-mode fracture. Int. J. Numer. Meth. Eng. 52 (2001) 97-120
13. Shet C., and Chandra N. Analysis of energy balance when using cohesive zone models to simulate fracture processes. ASME J. Eng. Mater. Technol. 124 (2002) 440-450
14. Timoshenko S., and Goodier J.N. Theory of Elasticity. 2nd ed. (1951), McGraw-Hill, New York
15. Tvergaard V. Crack growth predictions by cohesive zone model for ductile fracture. J. Mech. Phys. Solids 49 (2001) 2191-2207
16. Unger D.J. Analytical Fracture Mechanics (1995), Academic Press, San Diego
17. Zhang W., and Deng X. Formulation of a cohesive zone model for a Mode III crack. Eng. Fract. Mech. 72 (2005) 1818-1829
18. Zhang X., Mai Y.W., and Jeffrey R.G. A cohesive plastic and damage zone model for dynamic crack growth in rate-dependent materials. Int. J. Solids Struct. 40 (2003) 5819-5837