reactive plastic damage¶

Module: solid

Category: material

Type string: "reactive plastic damage"

Parameters¶

Name	Description	Default	Range	Units
`density`	density	1	\(\ge 0\)	M/L^3
`isochoric`	isochoric	true	\(\{0, 1\}\)
`rtol`	rtol	0.0001	\(\ge 0\)
`secant_tangent`	secant_tangent	true	\(\{0, 1\}\)
`elastic`	elastic		N/A
`yield_criterion`	yield_criterion		N/A
`flow_curve`	flow_curve		N/A
`plastic_damage`	plastic_damage		N/A
`plastic_damage_criterion`	plastic_damage_criterion		N/A
`elastic_damage`	elastic_damage		N/A
`elastic_damage_criterion`	elastic_damage_criterion		N/A

Description¶

The material type of a reactive elasto-plastic damage solid with kinematic hardening is reactive plastic damage.

The elastic property specifies the constitutive relation of the intact (unconstrained) elastic material and associated material properties.

The yield_criterion property defines the yield criterion \(\Phi\).

The flow_curve property specifies the relation between bond mass fractions \(w_{\beta}\) and apparent yield stresses \(\Upsilon_{\beta}\) for the bond family \(\beta\).

If only plastic damage needs to be modeled, the tags elastic_damage and elastic_damage_criterion may be omitted. If plastic_damage and plastic_damage_criterion are also omitted the material response becomes identical to the reactive plasticity material described in Section reactive plasticity.

Example: A-533 Grade B class 1 nuclear pressure vessel steel (mm-N-s units)

<material id="1" type="reactive plasticity">
  <isochoric>1</isochoric>
  <elastic type="neo-Hookean">
    <density>8.00e-9</density>
    <E>206.9e3</E>
    <v>0.29</v>
  </elastic>
  <yield_criterion type="DC von Mises stress"/>
  <flow_curve type="PFC paper">
    <nf>10</nf>
    <Y0>458</Y0>
    <Ymax>730</Ymax>
    <w0>0.985</w0>
    <we>0.00072</we>
    <r>1</r>
  </flow_curve>
  <plastic_damage type="CDF Weibull">
    <mu>3.3</mu>
    <alpha>3</alpha>
    <Dmax>1</Dmax>
  </plastic_damage>
  <plastic_damage_criterion type="DC octahedral shear strain"/>
</material>