Figure 5.4.4 Anisotropic (1977) failure criterion with Burchell’s (2007) -plane(TT TC failure data projected onto (= -30.20) parallel to the = 10.48 MPa, BC YC = 35MPa, = 40 MPaYT = 15.93 MPa, = 52.93 MPa, MBC = 61.40 MPa) The meridian lines of the anisotropic Green-Mkrtichian (1977) failure surface corresponding to are depicted on Figure 5.4.5 Obviously the meridian lines are not and linear. The line goes through point defined by and meridian 6.05MPa r = 8.56 line goes through point defined by and meridian 9.02 MPa. MPa r = 13.01 MPa. The meridian line goes through the point defined by and  = 30.2 MPa r = 42.17MPa. Figure 5.4.5 Anisotropic Green-Mkrtichian (1977) failure criterion with Burchell’s TC (2007) failure data projected onto meridian-plane(TT = 10.48 MPa, = 35MPa, BC YC = 40 MPaYT = 15.93 MPa, = 52.93 MPa, MBC = 61.40 MPa) As the value of the stress invariant associated with the hydrostatic stress I1 increases in the negative direction, failure surfaces perpendicular to the hydrostatic stress line become circular again. The model suggests that as hydrostatic compression stress increases the difference between tensile strength and compressive strength diminishes and approach each other asymptotically. This is a material behavior that should be verified experimentally in a manner similar to Bridgman’s (1953) bend bar experiments conducted in hyperbaric chambers on cast metal alloys. Balzer (1998) provides an excellent overview of Bridgman’s experimental efforts, as well as others and their accomplishments in the field of high pressure testing.
Figure 5.4.4 Anisotropic (1977) failure criterion with Burchell’s (2007) failure data projected onto (= -30.20) parallel to the -plane(TT = 10.48 MPa, TC = 35MPa, BC = 40 MPaYT = 15.93 MPa, YC = 52.93 MPa, MBC = 61.40 MPa) The meridian lines of the anisotropic Green-Mkrtichian (1977) failure surface corresponding to and are depicted on Figure 5.4.5 Obviously the meridian lines are not linear. The meridian line goes through point defined by 6.05MPa and r = 8.56 MPa. meridian line goes through point defined by 9.02 MPa and r = 13.01 MPa. The meridian line goes through the point defined by  = 30.2 MPa and r = 42.17MPa. Figure 5.4.5 Anisotropic Green-Mkrtichian (1977) failure criterion with Burchell’s (2007) failure data projected onto meridian-plane(TT = 10.48 MPa, TC = 35MPa, BC = 40 MPaYT = 15.93 MPa, YC = 52.93 MPa, MBC = 61.40 MPa) As the value of the I1 stress invariant associated with the hydrostatic stress increases in the negative direction, failure surfaces perpendicular to the hydrostatic stress line become circular again. The model suggests that as hydrostatic compression stress increases the difference between tensile strength and compressive strength diminishes and approach each other asymptotically. This is a material behavior that should be verified experimentally in a manner similar to Bridgman’s (1953) bend bar experiments conducted in hyperbaric chambers on cast metal alloys. Balzer (1998) provides an excellent overview of Bridgman’s experimental efforts, as well as others and their accomplishments in the field of high pressure testing.
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