The paper presents an investigation of mixed-mode ductile fracture for biaxial tension plates containing a central crack of varying inclination angles under non proportional loading. The critical fracture loads at crack initiation as well as crack initia tion angles are obtained for each of the three prescribed nonproportional loading paths. The experimental measurements are then compared to those predicted by finite element analysis based on an anisotropic damage mechanics model which has been developed ear lier by Chow and his co-workers and employed to characterize successfully, various damage-affected fracture problems including mixed-mode crack initiation and propagation under proportional loading [1-5].
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References
1.
Chow, C.L. and J. Wang.1987. "An Anisotropic Theory of Elasticity for Continuum Damage Mechanics," Int. J. Frac. , 33:3-16
2.
Chow, C.L. and J. Wang.1987. "An Anisotropic Theory of Continuum Damage Mechanics for Ductile Fracture," Engng. Frac. Mech. , 27:547-558.
3.
Chow, C.L. and J. Wang.1988. "A Finite Element Analysis of Continuum Damage Mechanics for Ductile Fracture," Int. J. Frac. , 38:83-102.
4.
Chow, C.L. and J. Wang.1989. "Crack Propagation in Mixed-Mode Ductile Fracture with Continuum Damage Mechanics" Proc. Instn. Mech. Engrs., 203:189-199.
5.
Chow, C.L. and J. Wang.1988. "On Crack Initiation Angle of Mixed-Mode Ductile Fracture with Continuum Damage Mechanics," Engng. Frac. Mech., 32:601-612.
6.
McClintock, F.A.1968. "A Criterion for Ductile Fracture by the Growth of Holes," J. Appl. Mech. , 35:363-371.
7.
Rice, J.R. and D.M. Tracey.1968. "On the Ductile Enlargement of Voids in Triaxial Stress Fields," J Mech. Phys. Solids, 17:201-217.
8.
Gurson, A.L.1977. "Continuum Theory of Ductile Fracture by Void Nucleation and Growth: Part 1—Yield Criteria and Flow Rules for Porous Ductile Media," J. Engng. Mater. Technol. , 99:2-15.
9.
Becker, R., A. Needleman, O. Richmond and V. Tvergaard.1988. "Void Growth and Failure in Notched Bars," J. Mech. Phys. Solids, 36:317-351.
10.
Akoi, S., K. Kishimoto, T. Yoshida and M. Sakata.1987. "A Finite Element Study of the Near Crack Tip Deformation of a Ductile Material under Mixed Mode Loadmg;" J. Mech. Phys. Solids, 35:431-455.
11.
Kachanov, L.M.1958. "On the Creep Rupture Time ," Izv. Akad. Nauk USSR Otd. Tekh., 8:26-31.
12.
Dragon, A.1985. "Plasticity and Ductile Fracture Damage: Study of Void Growth in Metals," Engng. Frac. Mech. , 21:8775-892.
13.
Thompson, A.W.1987. "Modeling of Local Strains in Ductile Fracture," Metall. Trans. , 18A: 1877 -1886.
Murakami, S.1987. "Progress of Continuum Damage Mechanics," JSME Int. J. , 30:701-710.
17.
Chaboche, J.L.1988. "Continuum Damage Mechanics: Part I & Part II," J. Appl. Mech., 55:59-72.
18.
Chow, C.L. and T.J. Lu. "Hypothesis of Stress Working Equivalence in Continuum Damage Mechanics and Its Verification," Proc. Instn. Mech. Engrs. (to appear).
19.
Chow, C.L. and T.J. Lu1989. "On Evolution Laws of Anisotropic Damage," Engng. Frac. Mech. , 34.679-701.
20.
Rabotnov, Y.N.1968. Creep Problems in Structural Members. North Holland Publishing Company.
21.
Chow, C.L. and T.J. Lu.1989. "A Normative Representation of Stress and Strain for Continuum Damage Mechanics," Theor. Appl. Frac. Mech. , 12:161-187.
22.
Lu, T.J. and C.L. Chow.1991. "On Constitutive Equations of Inelastic Solids with Anisotropic Damage," Theor. Appl. Frac. Mech. , 14:187-218.
23.
Cordebois, J.P. and F. Sidoroff.1980. "Anisotropic Damage in Elasticity and Plasticity," J. Mec. Theor. Appl. , Numero. Special, pp. 45-60.
24.
Davison, L. , A.L. Stevens and M.E. Kipp.1977. J. Mech. Phys. Solids , 25:11-28.
25.
Krajcinovic, D.1983. "Constitutive Equations for Damaging Materials," J. Appl. Mech. , 50:355-360.
26.
Chow, C.L. and J.L. Xu.1985. "Mixed Mode Ductile Fracture Using the Strain Energy Density Criterion," Int. J. Frac. , 28:17-28.
27.
Chow, C.L. and J.L. Xu.1985. "Ductile Fracture Propagation with the Strain Energy Density Criterion," Engng. Frac. Mech.21:537-545.
28.
Theocans, P.S. and T.P. Philippidis.1987. "The T-Criterion for Ductile Fractures in HRR Plastic Singular Fields," Int. J. Frac., 35:21-37.
29.
Bathe, K.-J.1982. Finite Element Procedures in Engineering Analysis. New Jersey: Prentice-Hall.
30.
Lemaitre, J. and J. Dufailly.1987. "Damage Measurements " Engng. Frac. Mech. , 28:643-661.
