Abstract: Three fundamentally different failure theories for homogeneous and isotropic materials are examined in both the ductile and brittle ranges of behavior. All three theories are calibrated by just ...

Abstract: A theory of yielding and failure for homogeneous and isotropic materials is given. The theory is calibrated by two independent, measurable properties and from those it predicts possible failure ...

Abstract: A fundamental materials failure theory is used to predict the angle of repose for granular solids. This long-existing classical problem is now solved. The solution only requires two properties: (1) the uniaxial ...

Abstract: A critical review is given of the various historical attempts to formulate a general, three-dimensional theory of failure for broad classes of homogeneous, isotropic elastic materials. Following ...