and a ratio of compressive strength to tensile strength of T) = 2, then C =- MPa (C 31.86 the parameters and are MPa and A B (3.1.38) and (3.1.39 ) Equation (3.1.37) becomes (3.1.40 ) This expression is plotted in the stress plane depicted in Figure 3.1.5 11 22 – Figure 1 3.1.5 The Drucker-Prager (1952) criterion projected onto the -2 principle C stress plane (T = 15.93 MPa, = 31.86 MPa) and compared with the Burchell’s data This combination of strength parameters leads to a biaxial strength of well over 900 MPa. If Burchell’s (2007) compressive strength of is utilized from C = 52.93 MPa along with a stress ratio then the tensile strength is The T T (C = 2), =26.465 MPa. parameters and are A B (3.1.41) and (3.1.42) Now (3.1.44) This expression is plotted in the 11 22 stress depicted in Figure 3.1.6 – NEED A THIRD FIGURE, 3.1.7 WHERE A NUMBER OF ELLIPSES ARE SUPERIMPOSED IN THE SAME FIGURE. EACH ELLIPSE WOULD HAVE A
MPa and a ratio of compressive strength to tensile strength of (C T) = 2, then C =- 31.86 MPa and the parameters A and B are (3.1.38) and (3.1.39 ) Equation (3.1.37) becomes (3.1.40 ) This expression is plotted in the 11 – 22 stress plane depicted in Figure 3.1.5 Figure 3.1.5 The Drucker-Prager (1952) criterion projected onto the 1 -2 principle stress plane (T = 15.93 MPa, C = 31.86 MPa) and compared with the Burchell’s data This combination of strength parameters leads to a biaxial strength of well over 900 MPa. If Burchell’s (2007) compressive strength of C = 52.93 MPa is utilized from along with a stress ratio (C T = 2), then the tensile strength is T =26.465 MPa. The parameters A and B are (3.1.41) and (3.1.42) Now (3.1.44) This expression is plotted in the 11 – 22 stress depicted in Figure 3.1.6 NEED A THIRD FIGURE, 3.1.7 WHERE A NUMBER OF ELLIPSES ARE SUPERIMPOSED IN THE SAME FIGURE. EACH ELLIPSE WOULD HAVE A
Chengfeng%20Dissertaton%20K.docx