## A comparative study of theories of failure and design criteria |

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11 by diagram alternating components alternating stresses anisotropy assumes biaxial stresses change in volume combined stresses constant creep deformation creep stress cycle ratio cyclic stress damage ratio Distortion Energy ductile materials ductile metals ellipse endurance limit Equating Eqns experimental data factor of safety failure in simple failure stress fatigue failure fatigue strengths Fatigue Stresses fluctuating stress Hence Hooke's Law Law Diag loads maximum principal stress Maximum Shear Strain maximum shear stress maximum stress mean stress method Mises criterion Modified Goodman Law normal stress opposite sign prestress Principal Stress Theory Prom Eqn repeated stresses represented in Pig S-N curve Shear Strain Energy shear strength Shear Stress Theory shown in Pig simple tension Soderberg specimen Steel straight line Strain Theory stress concentration factor stress Maximum Substituting Eqn support this theory tensile stress test data Theories of Failure theory is represented Theory Ref torsional fatigue Yield Strength yield stress