Figure 4.4.3 The Green-Mkrtichian criterion projected onto a deviatoric plane parallel -plane T C to the with = 15.93 MPa, = 52.93MPa, BC = 61.40 MPa The meridian of the isotropic Green-Mkrtichian (1977) failure surface corresponding to and are depicted on Figure 4.4.4. Obviously the meridian lines are not linear. The line goes through point defined by and meridian 9.02 MPa r = 13.01 The meridian line goes through the point defined by and  MPa. = 30.56 MPa r = 43.22 MPa. Figure 4.4.4 The Green-Mkrtichian criterion projected onto the meridian plane for a T C BC material strength parameter of = 15.93 MPa, = 52.93 MPa, = 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 4.4.3 The Green-Mkrtichian criterion projected onto a deviatoric plane parallel to the -plane with T = 15.93 MPa, C = 52.93MPa, BC = 61.40 MPa The meridian of the isotropic Green-Mkrtichian (1977) failure surface corresponding to and are depicted on Figure 4.4.4. Obviously the meridian lines are not linear. The meridian line goes through point defined by 9.02 MPa and r = 13.01 MPa. The meridian line goes through the point defined by  = 30.56 MPa and r = 43.22 MPa. Figure 4.4.4 The Green-Mkrtichian criterion projected onto the meridian plane for a material strength parameter of T = 15.93 MPa, C = 52.93 MPa, BC = 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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