An application of the Kane and Mindlin theory to crack problems in plates of arbitrary thickness

Meccanica

Volumn 39, Issue 6, 2004, Pages 495-509

  Kotousov, Andrei ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

CTOD; Distributed dislocation technique; Edge dislocation; Elasto plastic 3D FE; Fundamental solutions; Strip yield model; Thickness effect

Indexed keywords

ELASTICITY; FINITE ELEMENT METHOD; FORCE MEASUREMENT; PLATE METAL; PROBLEM SOLVING; STRAIN; STRESS ANALYSIS; THICKNESS MEASUREMENT;

CRACK TIP OPENING DISPLACEMENT (CTOD); DISTRIBUTED DISLOCATION TECHNIQUE; EDGE DISLOCATIONS; ELASTO-PLASTIC 3D FE; FUNDAMENTAL SOLUTIONS; STRIP-YIELD MODEL; THICKNESS EFFECTS;

CRACKS;

EID: 17044417794     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11012-004-5735-x     Document Type: Article

References (12)

1. Ciarlet, P.G., Plates and Junctions in Elastic Multi-Structures: An Asymptotic Analysis, Springer, Berlin, 1990.
2. Yang, W. and Freund, L.B., 'Transverse shear effects for through-cracks in an elastic plate', Int. J. Solids Struct. 21 (1985) 977-994.
3. Kane, T.R. and Mindlin, R.D., 'High frequency extensional vibrations of plates', J. Appl. Mech. 23 (1956) 277-283.
4. Kotousov, A. and Wang, C.H., 'Three-dimensional stress constraint in an elastic plate with a notch', Int. J. Solids Struct. 39 (16) (2002) 4311-4326.
5. Kotousov, A. and Wang, C.H., 'Three-dimensional solutions for transversally isotropic composite plates with a notch', Compos. Struct., 57 (1-4) (2002) 443-450.
6. Kotousov, A. and Wang, C.H., 'Fundamental solutions for the generalized plane strain theory', Int. J. Eng. Sci. 40 (15) (2002) 1775-1790.
7. Timoshenko, S.P. and Goodier, J.N., Theory of Elasticity, 3rd Edition, McGraw-Hill, 1970.
8. Hills, D.A., Kelly, P.A., Dai, D.N. and Korsunsky, A.M., Solution of Crack Problems, Kluwer Academic Publisher, Dordrecht, 1996.
9. Rice, J.R., 'A path independent integral and the approximate analysis of strain concentration by notches and cracks' J. Appl. Mech., 35 (1968) 379-386.
10. Dugdale, D.S., 'Yielding of steel sheets containing slits'. J. Mech. Phys. Solids, 89 (1960) 100-104.
11. Newman, J.C., Jr., Crews, J.H., Jr., Biglew, C.A. and Dawicke, D.S., 'Variations of a global constraint factor in cracked bodies under tension and bending loading' in: M. Kirk and A. Bakker (eds.) Constraint Effects in Fracture Theory and Applications: Vol. 2, 1244, ASTM STP American Society for Testing and Materials, Philadelphia, 1995.
12. Yu, Y.Y., Vibration of Elastic Plates: Linear and Non-linear Dynamical Modelling of Sandwiches, Laminated Composites, and Piezoelectric Layers, Springer-Verlag, New York, 1995.