Review of the Basic Elastic Mechanical Properties and Their Realignment to Establish Ductile Versus Brittle Failure Behaviors

Abstract

Abstract The underlying formalism of isotropic elasticity theory is shown to benefit from a review and re-examination of its structure thereby yielding a re-alignment of the basic moduli type properties. When this is accomplished the pathway to understanding ductile versus brittle failure behaviors becomes much more accessible. The ductile/brittle transition in uni-axial tension then admits a simple and direct specification in terms of the two elastic moduli 2 μ and k. The consequences of these results are discussed in the context of general failure theory.

Topics & Concepts