Abstract
The paper presents analytical results on the out-of-plane displacement of the lateral surface of a plate in the vicinity of a through-the-thickness crack at different ratios of the crack length to the plate thickness. The theoretical approach is based on a recently developed three-dimensional elastic solution for an edge dislocation in a plate of arbitrary thickness and the standard distributed dislocation technique. It was shown that the results obtained in this paper mirror classical plane stress and plan strain solutions in limiting cases of very thin and very thick plates, respectively and agree well with experimental investigations carried out using a Michelson interferometer.
Similar content being viewed by others
References
Hills, D.A., Kelly, P.A., Dai, D.N. and Korsunsky, A.M. (1996) Solutions of Crack Problems Kluwer Academic Publishers, Dordrecht.
Humbert, L., Valle, V. and Cottron, M. (2000) Experimental determination and empirical representation of out-of-place displacements in a cracked elastic plate loaded in mode I, International Journal of Solid and Structures 37, 5493–5504.
Kane, T.R. and Mindlin, R.D. (1956) High frequency extensional vibrations of plates, Journal of Applied Mechanics, 23, 277–283.
Kelly, P.A. and Nowell, D. (2000). Three-dimensional cracks with Dugdale-type plastic zones, International Journal of Fracture, 106, 291–308.
Kotousov, A (2003). CTOD for the through-the-thickness crack in a plate of arbitrary thickness, Interantional Journal of Fracture, 119, L99–L104.
Kotousov, A. and Wang, C. H. (2002a). Three-dimensional stress constraint in an elastic plate with a notch, International Journal of Solids and Structures, 39 (16), 4311–4326.
Kotousov, A. and Wang C.H. (2002b). Fundamental solutions for the generalized plane strain theory, International Journal of Engineering Science, 40 (15) pp. 1775–1790.
Nakamura, T., Parks, D.M., (1998). Three-dimensional stress field near the crack front of a thin-elastic plate, Journal of Applied. Mechanics, 55, 805–813.
Ptaff, R.D., et al., (1995). An interpretation of Twyman-Green interferograms from static and dynamic fracture experiments, International Journal of Solids and Structure, 32, 939–955.
Yang, W., Freund, L.B., (1985). Transverse shear effects for through-cracks in an elastic plate, International Journal of Solids and Structures, 9, 977–994.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kotousov, A., Tan, P.J. Effect of the Plate Thickness on the Out-of-Plane Displacement Field of a Cracked Elastic Plate Loaded in Mode I. International Journal of Fracture 127, L97–L103 (2004). https://doi.org/10.1023/B:FRAC.0000035082.10798.5f
Issue Date:
DOI: https://doi.org/10.1023/B:FRAC.0000035082.10798.5f