Generalized formulation for strip yielding model with variable cohesion and its analytical solutions

International Journal of Solids and Structures

Volumn 37, Issue 51, 2000, Pages 7533-7546

  Wang, Wei ^a   Hsu, Cheng Tzu Thomas ^b   Blackmore, Denis ^c  

^a LLP   (United States)

^b NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

^c NEW JERSEY INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Analytical solutions; Cohesion; Formulation; Strip yielding model

Indexed keywords

BRITTLENESS; FRACTURE MECHANICS; MATHEMATICAL MODELS;

PARIS DISPLACEMENT THEORY; PLASTIC ZONE THEORY; STRIP YIELDING MODELS;

STRUCTURAL ANALYSIS;

EID: 0034557429     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(99)00293-0     Document Type: Article

References (22)

1. Bazant, Z.P., 1985. Mechanics of fracture and progressive cracking in concrete structures. In: Sih, G.C., DiTommaso, A. (Eds.), Fracture Mechanics of Concrete, Engineering Application of Fracture Mechanics, vol. 4, Martinus Nijhoff Publishers, The Hague, pp. 1-94.
2. Carpinteri, A., 1985. Scale effects in fracture of plain and reinforced concrete structures. In: Sih, G.C., DiTommaso, A. (Eds.), Fracture Mechanics of Concrete, Engineering Application of Fracture Mechanics, vol. 4, Martinus Nijhoff Publishers, The Hague, pp. 95-140.
3. Chen, C., 1975. Paris's displacement formula in fracture mechanics, J. Fract. Mech. Metals (in Chinese).
4. Dugdale, D.S., 1960. Yielding of steel sheet containing slits. J. Mech. Phys. 8, 100-108.
5. Dugundji, J., 1966. Topology. Allyn and Bacon, Boston.
6. Hillerborg, A., 1979. The fictitious crack model and its use in numerical analyses, Fracture Mechanics in Engineering Application, Proc. Int. Conf., Bangalore.
7. Hillerborg, A., et al., 1976. Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements. Cement and Concrete Research 16 (6), 773-782.
8. Hillerborg, A., 1985. Numerical methods to simulate softening and fracture of concrete. In: Sih, G.C., DiTommaso, A. (Eds.), Fracture Mechanics of Concrete, Engineering Application of Fracture Mechanics, vol. 4, Martinus Nijhoff Publishers, The Hague, pp. 141-170.
9. Irwin, G.R., 1960. Plastic Zone Near a Crack and Fracture Toughness, Proc. Seventh Sagamone Conference, P IV-63.
10. Paris, P.C., 1957. The Mechanics of Fracture Propagation and Solutions to Fracture Arrested Problems, Document D2-2195, The Boeing Company, USA.
11. Paris, P.C., Erdogan F., 1963. A critical analysis of crack propagation laws. Trans. ASME, J. Basic Engng. 85D, 528-534.
12. Rice, J.R., 1968. Mathematical analysis in the mechanics of fracture. Fracture, An Advanced Treaties, vol. 2, Mathematical Foundations, pp. 191-311.
13. Rice, J.R., 1966. Mechanics of crack tip deformation and extension by fatigue, Fatigue Crack Propagation, Symposium of Fatigue Crack Propagation, Atlantic City, ASTM STP 415, American Society for Testing and Materials, Philadelphia, pp. 247-309.
14. Rice, J.R., 1967. Stress due to a sharp notch in a work-hardening elastic-plastic material loaded by longitudinal shear. J. Appl. Mech. 34, 287-298.
15. Shah, S.P., 1984. Dependence of concrete fracture toughness on specimen geometry and on composition. In: Carpintrri, A., Ingraffea, A.R. (Eds.), Fracture Mechanics of Concrete, Engineering Application of Fracture Mechanics, vol 3, Martinus Nijhoff Publishers, The Hague, pp. 111-138.
16. Shah, S.P., Sware, S.E., Ouyancg, C., 1995. Fracture Mechanics of Concrete, Wiley, New York, pp. 123-127.
17. Sih, G.C., 1984. Mechanics of material damage in concrete. In: Carpintrri, A., Ingraffea, A.R. (Eds.), Fracture Mechanics of Concrete, Engineering Application of Fracture Mechanics, vol. 3, Martinus Nijhoff Publishers, The Hague, pp. 1-30.
18. Taha, H., Paris, P., Irwin, G., 1973. The stress analysis of Cracks Handbook, Del Research Corporation, pp. 1.17-1.18.
19. Wang, W., 1991. Plastic energy damage accumulation theory and its application in fatigue problems, Proc. of the International Symposium on Fatigue and Fracture of Steel and Concrete Structures, pp. 153-173.
20. Wang, W., Hsu, C.T.T., 1994. Fatigue crack propagation rate by damage accumulation theory. J. Engng. Mech., ASCE 120 (4), 776-795.
21. Wang, W., 1995. Shear strength and fatigue crack propagation in concrete by energy method. Ph.D. Dissertation, Department of Civil and Environmental Engineering, New Jersey Institute of Technology, Newark, New Jersey.
22. Weibull, W., 1939. A statistical theory of the strength of materials, Royal Swedish Academy of Engineering Society Proceedings, vol. 151, pp. 1-45.