Analysis of Energy Release Rate for Cracked Laminates

Hu Hurang; Wu Chengping

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1995 > 16(6): 527-541

Hu Hurang, Wu Chengping. Analysis of Energy Release Rate for Cracked Laminates[J]. Applied Mathematics and Mechanics, 1995, 16(6): 527-541.

Citation:

Hu Hurang, Wu Chengping. Analysis of Energy Release Rate for Cracked Laminates[J]. Applied Mathematics and Mechanics, 1995, 16(6): 527-541.

Citation:

Hu Hurang, Wu Chengping. Analysis of Energy Release Rate for Cracked Laminates[J]. Applied Mathematics and Mechanics, 1995, 16(6): 527-541.

PDF( 1019 KB)

Analysis of Energy Release Rate for Cracked Laminates

Hu Hurang¹,
Wu Chengping²

1.
Department of Mechanical. Aerospace and Manufacturing Engineering. Syracuse University, Syracuse, NY 13244, U. S. A;
2.
Chongqing Jiaotong Institute, Chongqing 630042, P. R. China

Received Date: 1994-08-14
Publish Date: 1995-06-15

Abstract

Abstract

An interface crack analysis is presented for further understanding the characteristics of the crack-tip field.The conditions under which the energy release rate components would exist are emphasized and the relations between energy release rate components and the stress intensity factors are given.Combining with the results of chasical plate theory analysis.a closed-form solution for stress intensity factors in terms of external loading as well as some geometric and material parameters for fairly general composite laminates is derived Then.an analytical solution for energy release rate components is deduced.In order to get energy release rate components under general loading condition.a mode mix parameter,Ω,must be determined separately.A methodology for determining Ω is discussed.Finally.several different kinds of laminates are examined and the results obtained could be used in engineering applications.
- composite materials,
- laminates,
- crack-tip field,
- energy release rate,
- stress intensity factor,
- interface crack

FullText(HTML)

References(32)

References

[1]	Z.Suo,G.Bao,B.Fan and T.C.Wang,Orthotropy rescaling and implications forfracture in composites.Int.J.Solids Structure,28(1991),235-248.
[2]	T.K.O'Brien,Generic aspects of delamination in fatigue of composite materials,J.Am.Helicopter Soc..32(1987),13-18.
[3]	A.Hoenig,Near-tip behavior of a crack in a plane anisotropic elastic body,Engineering Fract.Mech.,16(1982),393-403.
[4]	J.W.Eischen,Fracture of nonhomogeneous materiais,Int.J.Flacture,34(1987),3-22.
[5]	M.L.Williams,The stresses around a fault or crack in dissimilar media,Bull.Seism.Soc.Am.,49(1959),199-204.
[6]	H.Gao,M.Abbudi and D.M.Barnett,Interfacial crack-tip field in anisotropic elasticsolids J.Mech.Phys.Solids,40(1992),393-416.
[7]	K.C.Wu.Stress intensity factor and energy release rate for interfacial cracks between dissimilar anisotropic materials.ASME,J.Appl.Mech.,57(1990),882-886.
[8]	K.C.Wu,Explicit crack-tip fields of an extending interface crack in an anisotropic bimaterial,Int.J Solids Struct.,27(1991),455-466.
[9]	Z.Suo,Singularities,interfaces and cracks in dissimilar anisotropic media,Proc.R.Soc.Lond.,A427(1990),331-358.
[10]	J.L.Bassani and J.Qu,Finite crack on bimaterial and bicrystal interfaces,J.Mech.Phys.Solids,37(1989),435-453.
[11]	J.Qu.and J.L.Bassani,Cracks on bimaterial and bicrystal interfaces,J.Mech.Phys.Solids.,37(1989),417-433.
[12]	T.C.T.Ting.,Interface cracks in anisotropic bimaterials,J.Mech.Phys.Solids,38(1990),505-513.
[13]	T.C.T.Ting,Explicit solution and invariance of the singularities at an interface crackin anisotropic composite,Int.J.Solids Struct.,22(1986),965-983.
[14]	S.S.Wang,Fracture mechanics for delamination problems in composite materials,J.Composile Materials.17(1983),210-223.
[15]	J.R.Willis.Fracture mechanics of interfacial cracks.J.Mech.Phys.Solids,19(1971),353-368.
[16]	J.W.Hutchinson.M.E.Mear and J.R.Rice,Crack paralleling an interface between dissimilar materials,ASME.J.Appl.Mech..54(1987),828-832.
[17]	A.H.England,A crack between dissimilar media,J.Appl.Mech.,32(1965),400-402.
[18]	J.R.Rice and G.C.Sih,Plane problems of cracks in dissimilar media,J.Appl.Mech..33(1965),418-423.
[19]	J.R.Rice,Elastic fracture mechanics concepts for interfacial cracks,ASME.J Appl.Mech.,55(1988),98-103.
[20]	G.C.Sih,P.C.Paris and G.R.Irwin,On cracks in rectilinearly anisotropic bodies,Int.J.Fracture Mech.,1(1965),189-203.
[21]	J.G.Williams,On the calculation of energy release rates for cracked laminates,Int.J.Fracture,36(1988),101-119.
[22]	Z.Suo and J.W.Hutchinson,Interface crack between two elastic layers.Int.J.Fracture.,43(1990),1-18.
[23]	Z.Suo.,Delamination specimens for orthotropic materials,ASME,J.Appl.Mech.,57(1990),627-634.
[24]	R.A.Schapery and B.D.Davidson,Prediction of energy release rate for mixed-mode delamination using classical plate theory,Applied Mechanics Review,43,2(1990),S281-S287.
[25]	B.D.Davidson,H.Hu and R.A.Schapery,An analytical crack tip element for layered elastic structures,J.Appl.Mech.
[26]	J.Dundurs,Mathematical Theory of Dislocations.ASME,(1969),70-115.
[27]	R.M.Jones,Mechanics of Composite Materials,McGraw-Hill,New York(1975).
[28]	M.Y.He and J.W.Hutchinson,Kinking of a crack out of an interface,J.Appl.Mech.,56(1989),270-278.
[29]	J.W.Hutchinson,Mixed mode fracture mechanics of interfaces,Metal-Ceramic Interfaces,ed.by M.Ruhle,A.G.Evans,M.F.Ashby and J.P.Hirth,Pergamon Press,New York(1990).
[30]	B.D.Davidson,Prediction of energy release rate for dege delamination using a crack tipelement,Presented at the Fifth ASTM Symposium on Composite Materials:Fatigue and Fracture,Atlanta,Georgia,May 4-6(1993).
[31]	I.S.Raju.,J.H.Crews,Jr.and M.A.Aminpour,Convergence of strain release ratecomponents for edge-delaminated composite laminates,Engineering Fract.Mech.,30(1988),383-396.
[32]	B.D.Davidson and H.Hu,A technique to define mixed mode energy release rate at dissimilar interfaces in fiber reinforced,laminated materials,to be submitted to Int.J.of Fracture.