A method to determine the plane stress fracture resistance curve for the stable crack growth of ductile material is presented. A reinforced double cantilever beam (RDCB) specimen of thin grooved section is used to determine the COD and JR of aluminium 2024-T3 material which exhibits substantial stable crack growth. The method makes use of the BEF and Dugdale models to determine the load-deflection behaviour of the specimen. The derivation is based on the experimentally determined load and crack extension values.
The crack growth resistance for specimens of different thicknesses are deduced using the proposed method and are compared with those of the compliance method as well as the finite element method.
Get full access to this article
View all access options for this article.
References
1.
ShihC. F.De LorenziH. G.AndrewsW. R.‘Studies on crack initiation and stable crack growth’, Elasticplastic fracture, STP 668, 1979 (American Society for Testing and Materials) pp. 65–120.
2.
GarwoodS. J.‘Measurement of crack growth resistance of A533B wide plate tests’, Fracture mechanics, STP 700, 1980 (American Society for Testing and Materials) pp. 271–295.
3.
JoyceJ. A.ErnstH.ParisP. C.‘Direct evaluation of J-resistance curves from load displacement records’, Fracture mechanics, STP 700, 1980 (American Society for Testing and Materials) pp. 222–236.
4.
De KoningA. U.‘A contribution to the analysis, of quasi static crack growth in sheet material’, Fracture, ICF 4, 1977, 3, 25–31.
5.
GaoY. C.HwangK. C.‘Crack-tip fields in steady crack growth in an elastic perfectly-plastic material for plane stress case’, Paper presented at the Philadelphia 1981 symposium.
6.
KanninenM. F.‘An augmented double cantilever beam model for studying crack propagation and arrest’, Int. J. Fracture, 1973, 9, 83–92.
7.
KanninenM. F.‘A dynamic analysis of unstable crack propagation and arrest in the DCB test specimens’, Int. J. Fracture, 1974, 10, 415–430.
8.
ChowC. L.SykesJ. L.Recent advances in engineering science, 1977 pp. 307–316.
9.
ChowC. L.WooC. W.‘Analysis of grooved DCB specimen by an approximate method’, Proc. Int. Conf. on Numerical Methods in Fracture Mechanics, Swansea, 1978, pp. 226–234.
10.
WooC. W.KuruppuM. D.‘Determination of fracture toughness of ductile materials using RDCB specimen’, J. Strain Analysis, 1982, 17, 223–227.
11.
WooC. W.KuruppuM. D.‘Experimental determination of crack growth resistance of ductile materials’, J. Strain Analysis, 1981, 16, 123–126.
12.
SorensenE. P.‘A numerical investigation of plane strain stable crack growth under small scale yielding conditions’, Elastic–plastic fracture, STP 668, 1979 (American Society for Testing and Materials) pp. 151–174.
13.
RiceJ. R.DruganW. J.ShamT. L.‘Elastic-plastic analysis of growing cracks’, Fracture mechanics, STP 700, 1980 (American Society for Testing and Materials) pp. 189–221.
14.
KfouriA. P.RiceJ. R.‘Elastic-plastic separation energy rate for crack advance in finite growth steps’, Fracture, ICF 4, 1977, 1, 43–59.
15.
RiceJ. R.‘Plastic yielding at a crack tip’, Proc. First Int. Conf. on Fracture, Sendai, Japan, 1965, pp. 283–368.
16.
HetenyiM.Beam on elastic foundation, 1958 (The University of Michigan Press).
17.
BurdekinF. M.StoneD. E.‘The crack opening displacement approach to fracture mechanics in yielding materials’, J. Strain Analysis, 1966, 1, 145–153.
18.
WellsA. A.‘Unstable crack propagation in metals cleavage and fast fracture’, Crack Propagation Symposium, Cranfield, 1961.
19.
ShihC. F.‘Relationships between the J-integral and the crack opening displacement for stationary and extending cracks’, J. mech. phys. Solids, 1981, 29, 305–326.
20.
OwenR. C.MaiY. W.ChowC. L.‘Quasi-static cracking of several ductile materials under plain stress conditions’, Int. J. Fracture, 1976, 12, 3–17.
21.
SykesJ. L.ChowC. L.‘On the measurement of fracture toughness of ductile materials with RDCB specimens’, Proceedings 2nd International Conference on Mechanical Behaviour of Metals, Boston, 1976.
22.
ClarkeG. A.AndrewsW. R.ParisP. C.SchmidtD. W.‘Single specimen tests for J1c determination’, Mechanics of crack growth, STP 590, 1976 (American Society for Testing and Materials) pp. 27–42.
23.
BatheK. J.‘ADINA – a finite element program for automatic incremental non-linear analysis’, Report No. 82448–1, Massachusetts Institute of Technology, Cambridge, MA, 1975.
24.
ParisP. C.TadaH.ZahoorA.ErnstH.‘The theory of instability of the tearing mode of elastic-plastic crack growth’, Elastic–plastic fracture, STP 668, 1979 (American Society for Testing and Materials) pp. 5–36.
25.
RiceJ. R.‘Elastic-plastic models for stable crack growth’, Proceedings of a Conference organised by the Physical Metallurgy Centre of British Steel Corporation, April 1973.
