On the presence of the out-of-plane singular mode induced by plane loading with KII = KI = 0

International Journal of Fracture

Volumn 167, Issue 1, 2011, Pages 119-126

  Berto, Filippo ^a   Lazzarin, Paolo ^a   Kotousov, Andrei ^b  

^a UNIVERSITY OF PADOVA   (Italy)

^b UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

Asymptotic expansion; Brittle fracture; Out of plane mode; Plane theory of elasticity; Strain energy density; Stress singularity; Thickness effect; Through thethickness crack

Indexed keywords

ASYMPTOTIC EXPANSION; OUT-OF-PLANE MODES; STRAIN ENERGY DENSITY; STRESS SINGULARITY; THEORY OF ELASTICITY; THICKNESS EFFECT; THROUGH-THETHICKNESS CRACK;

ASYMPTOTIC ANALYSIS; BRITTLENESS; CRACK TIPS; ELASTICITY; ENERGY RELEASE RATE; FRACTURE MECHANICS; LOADING; STRAIN ENERGY; STRESS ANALYSIS; STRESS INTENSITY FACTORS; THREE DIMENSIONAL; WELDS;

BRITTLE FRACTURE;

EID: 78651409470     PISSN: 03769429     EISSN: 15732673     Source Type: Journal    
DOI: 10.1007/s10704-010-9530-5     Document Type: Article

References (18)

1. Bazant, ZP, Estenssoro, LF (1979) Surface singularity and crack propagation. International Journal of Solids and Structures 1979;15:405-26.
2. Benthem, JP (1977) State of stress at the vertex of a quarter-infinite crack in a halfspace. International Journal of Solids and Structures 1977;13:479-92.
3. Berto, F., Lazzarin, P. (2009). A review of the volume-based strain energy density approach applied to V-notches and welded structures, Theoretical and Applied Fracture Mechanics 52, 183-194.
4. Berto, F. Lazzarin, P. (2010). On higher order terms in the crack tip stress field, International Journal of Fracture 161, 221-226
5. Huang, CS (2004) Corner stress singularities in a high-order plate theory, Computers and Structures, 82, 1657-1669.
6. Hutar, P. Náhlík, L. Knésl, Z. (2010). The effect of a free surface on fatigue crack behaviour International Journal of Fatigue 32, 1265-1269.
7. Kotousov, A. (2007) Fracture in plates of finite thickness. International Journal of Solids and Structures 44, 8259-8273.
8. Harding, S. Kotousov, A. Lazzarin, P., Berto, F.(2010) Transverse singular effects in V-shaped notches stressed in Mode II. International Journal of Fracture 164, 1-14.
9. Kotousov, A. Lazzarin, P. Berto, F. Harding, S. (2010) Effect of the thickness on elastic deformation and quasibrittle fracture of plate components Engineering Fracture Mechanics 10.1016/j.engfracmech.2010.04.008.
10. Kotousov, A (2010) Effect of plate thickness on stress state at sharp notches and the strength paradox of thick plates International Journal of Solids and Structures 47, 1916-1923.
11. Kozlov, V.A., V. G. Maz'ya, V.G.and Schwab, C. (1992) On singularities of solutions of the displacement problem of linear elasticity near the vertex of a cone. Archive for Rational Mechanics and Analysis 119, 197-227
12. Maz'ya, V.G. and Nazarov (1989), S. A. Singularities of solutions of the Neumann problem at a conical point. Siberian Mathematical Journal 30, 387-396.
13. Nakamura T., Parks, D. M. (1988) Three-dimensional stress field near the crack front of a thin elastic plate. Journal of applied Mechanics 55, 805-813.
14. Nakamura, T., Parks, D.M. (1989). Antisymmetrical 3-D stress field near the crack front of a thin elastic plate. International Journal of Solids and Structures 25, 1411-1426.
15. Pook, LP (1994). Some implications of corner point singularities. Engineering Fracture Mechanics 48, 367-78.
16. Ramesh, K., Gupta, S., Kelkar A.A. (1997). Evaluation of stress field parameters in fracture mechanics by photoelasticity-revisited, Engineering Fracture Mechanics 56, 25-45.
17. Xiao, QZ, Karihaloo, BL (2007). An overview of a hybrid crack element and determination of its complete displacement field. Engineering Fracture Mechanics 74, 1107-1117.
18. Williams, M.L. (1957). On the stress distribution at the base of a stationary crack, Journal of Applied Mechanics 24, 109-114.