Material failure theory

<p>Material failure theory is an interdisciplinary field of <a href="/facts/Materials_science/N5HrXRYW">materials science</a> and <a href="/facts/Solid_mechanics/e1Yq50IS">solid mechanics</a> which attempts to <a href="/facts/Failure_analysis/C5MVRgn6">predict the conditions</a> under which solid <a href="/facts/Material/Rmt5HySL">materials</a> fail under the action of <a href="/facts/Structural_load/MAxjDyhc">external loads</a>. The failure of a material is usually classified into <a href="/facts/Brittle/cn27H2vg">brittle</a> failure (<a href="/facts/Fracture/nxDNAj0d">fracture</a>) or <a href="/facts/Ductile/SBJsahEk">ductile</a> failure (<a href="/facts/Yield_(engineering)/mrSg02gW">yield</a>). Depending on the conditions (such as <a href="/facts/Temperature/QyGe4gmj">temperature</a>, state of <a href="/facts/Stress_(mechanics)/ErAXDbbd">stress</a>, loading rate) most materials can fail in a brittle or ductile manner or both. However, for most practical situations, a material may be classified as either brittle or ductile.
</p><p>In mathematical terms, failure theory is expressed in the form of various failure criteria which are valid for specific materials.  Failure criteria are functions in <a href="/facts/Stress%25E2%2580%2593strain_analysis/LB8SFJu3">stress or strain space</a> which separate "failed" states from "unfailed" states.  A precise physical definition of a "failed" state is not easily quantified and several working definitions are in use in the engineering community.  Quite often, phenomenological failure criteria of the same form are used to predict brittle failure and ductile yields.
</p>

Material failure theory open-in-new

Material failure theory