Three-dimensional elastic stress fields near notches in finite thickness plates

International Journal of Solids and Structures

Volumn 37, Issue 51, 2000, Pages 7617-7632

  Li, Zhenhuan ^a   Guo, Wanlin ^a   Kuang, Zhenbang ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Finite element; Finite thickness plate; Linear elastic; Notch configuration; Three dimensional effect

Indexed keywords

COMPUTER SIMULATION; CONSTRAINT THEORY; CRACK PROPAGATION; ELASTICITY; FINITE ELEMENT METHOD; LEAST SQUARES APPROXIMATIONS; STRAIN RATE; STRESS ANALYSIS; STRESS CONCENTRATION; STRUCTURAL ANALYSIS;

FINITE THICKNESS PLATES; THREE-DIMENSIONAL ELASTIC STRESS FIELDS;

PLATES (STRUCTURAL COMPONENTS);

EID: 0034559543     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0020-7683(99)00311-x     Document Type: Article

References (18)

1. Creager, M., Paris, P.C., 1967. Elastic field equations for blunt cracks with reference to stress corrosion cracking. Int. J. Fracture 3, 247-252.
2. Glinka, G., Newport, A., 1987. Universal features of elastic notch-tip stress fields. Int. J. Fatigue 9, 143-150.
3. Kane, T.R., Mindlin, R.D., 1956. High frequency extensional vibration of plates. J. Appl. Mech. 23, 277-283.
4. Krishnaswamy, S., Jin, Z.H., Batra, R.C., 1998. Stress concentration in an elastic Cesserat plate undergoing extensional deformations. J. Appl. Mech. 65, 66-70.
5. Kuang, Z.-B., 1982. The stress field near the blunt crack and the fracture criterian. Engng. Fract. Mech. 16, 19-33.
6. Kujawski, D., 1991. Estimations of stress intensity factors for small cracks at notches. Fatig. Fract. Engng. Mater. Struct. 14, 953-965.
7. Muskhelishvili, N.I., 1963. Some Basic Problems of the Mathematical Theory of Elasticity. Noordhoff, Groningen.
8. Nakamura, T., Parks, D.M., 1988. Three-dimensional stress field near the crack front of a thin elastic plate. J. Appl. Mech. 55, 805-813.
9. Nakamura, T., Parks, D.M., 1990. Three-dimensional crack front fields in a thin ductile plate. J. Mech. Phys. Solids 38, 787-812.
10. Savin, G.N., 1961. Stress Concentration around Holes. Pergamon Press, New York.
11. Shin, C.S., Man, K.C., Wang, C.M., 1994. A practical method to estimate the stress concentration of notches. Int. J. Fatigue 16, 242-256.
12. Sadowsky, M.A., Sternberg, E., 1947. Stress concentration around an ellipsoidal cavity in an infinite body under arbitrary plane stress perpendicular to the axis of revolution of the cavity. J. Appl. Mech. 14, A191-210.
13. Sadowsky, M.A., Sternberg, E., 1949. Stress concentration around a triaxial ellipsoidal cavity. J. Appl. Mech. 16, 149-157.
14. Sternberg, E., Sadowsky, M.A., Chicago, I.L.L., 1949. Three-dimensional solution for the stress concentration around a circular hole in a plate of arbitrary thickness. J. Appl. Mech. 16, 27-36.
15. Timoshenko, S., Goodier, J.N., 1970. Theory of Elasticity. McGraw Hill, New York, USA.
16. Xu, R.X., Thompson, J.C., Topper, T.H., 1996. Approximate expressions for three-dimensional notch tip stress fields. Fatig. Fract. Engng. Mater. Struct. 19, 893-902.
17. Xu, R.X., Thompson, J.C., Topper, T.H., 1995. Practical stress expressions for stress concentration regions. Fatig. Fract. Engng. Mater. Struct. 18, 885-895.
18. Yang, W., Freund, L.B., 1985. Transverse shear effects for through-cracks in an elastic plate. Int. J. Solids Struct. 21, 977-994.