SHEAR FAILURE IN ANISOTROPIC MATERIALS POSSESSING ANY VALUES OF COHESION AND ANGLE OF INTERNAL FRICTION

THE RADIUS OF A MOHR'S CIRCLE OF FAILURE IS OBTAINED IN TERMS OF THE PRINCIPAL SHEAR STRENGTHS EXISTING ON THE PRINCIPAL PLANES AT FAILURE, INDUCED BY THE STRESSES APPLIED IN PLANE DEFORMATION SUCH AS OCCURS IN THE TRIAXIAL COMPRESSION TEST, FOR A MATERIAL POSSESSING ANY VALUES OF COHESION AND SLIDING FRICTION. THE REQUIRED RADIUS IS FIRST OBTAINED GRAPHICALLY FROM A MODIFIED MOHR STRESS CIRCLE PLOTTED ON THE AXIS OF SHEAR STRESS, AND ANALYTICAL EXPRESSIONS ARE THEN DEVELOPED IN TERMS OF COHESION, ANGLE OF INTERNAL FRICTION, AND A PRINCIPAL NORMAL STRESS, FOR THE RADIUS AND FOR THE NORMAL AND TANGENTIAL COMPONENTS OF STRESS ACTING ON THE PLANE OF FAILURE. A NUMBER OF SPECIAL CASES ARE DEDUCED FROM THE GENERAL SOLUTION AND A MOHR CIRCLE OF FAILURE IS CONSTRUCTED. IT IS SHOWN THAT THE FORMULA DEVELOPED APPLIES TO ANISOTROPIC MATERIALS POSSESSING EITHER OR BOTH COMPONENTS OF SHEAR RESISTANCE, I.E., COHESION AND SLIDING OR INTERNAL FRICTION, AND TO ISOTROPIC MATERIALS, AS A LIMITING SPECIAL CASE. /AUTHOR/