CZMComputeGlobalTractionSmallStrain

Computes the czm traction in global coordinates for a small strain kinematic formulation

Overview

The CZMComputeGlobalTractionSmallStrain uses the local traction, $var element = document.getElementById("moose-equation-ba14564c-22a0-4d96-95a9-377278b1fdfc");katex.render("\\hat{t}", element, {displayMode:false,throwOnError:false});$ , and its derivatives w.r.t. to the local displacement jump, $var element = document.getElementById("moose-equation-33c48b68-16c3-4cbf-8972-429e116338a6");katex.render("\\partial \\hat{t} / \\partial \\llbracket \\hat{u} \\rrbracket", element, {displayMode:false,throwOnError:false});$ , calculated from any cohesive zone constitutive model and computes the traction in global coordinates, $var element = document.getElementById("moose-equation-3630d657-5c4b-4817-aa5f-6a0cba344f8e");katex.render("t", element, {displayMode:false,throwOnError:false});$ , and its derivatives w.r.t. to the displacement jump in global coordinates, $var element = document.getElementById("moose-equation-a3b8909a-06cc-4166-bf46-2a09624729f1");katex.render("\\partial t / \\partial \\llbracket u \\rrbracket", element, {displayMode:false,throwOnError:false});$ . This object assumes small strain and does not account for the interface rotation or area changes caused by deformations or rigid body motion. Under the small strain assumption, the traction in local coordinates is related to the traction in global coordinates as: $(1)var element = document.getElementById("moose-equation-e9a44d41-9759-4f15-97f7-04ae5fd9a5e8");katex.render(" t = Q_0 \\hat{t}", element, {displayMode:true,throwOnError:false});$ where $var element = document.getElementById("moose-equation-cc210e7a-97fd-465d-a8cc-02b96b4cceb8");katex.render("Q^0", element, {displayMode:false,throwOnError:false});$ is the rotation matrix transforming from the local to the global coordinates in the initial configuration. Equation Eq. (1) is used by CZM Interface Kernel Small Strain to compute the residual.

The required partial derivatives are computed using the chain rule as: $(2)var element = document.getElementById("moose-equation-333e1ef3-7f56-4e96-93b1-1512ecb88c00");katex.render(" \\frac{\\partial t_i}{\\partial \\llbracket u \\rrbracket_j} =\\frac{\\partial t_i}{\\partial \\hat{t}_k} \\frac{\\partial \\hat{t}_k}{\\partial \\llbracket \\hat{u}\\rrbracket_l} \\frac{\\partial \\llbracket \\hat{u}\\rrbracket_l}{\\partial \\llbracket u \\rrbracket_j}", element, {displayMode:true,throwOnError:false});$

The constitutive model provides $var element = document.getElementById("moose-equation-f9185ee4-6bc7-4183-9f17-92a00a144841");katex.render("\\partial \\hat{t}_k / \\partial \\llbracket \\hat{u}\\rrbracket_l", element, {displayMode:false,throwOnError:false});$ and this object computes the other two terms. Recalling that for small strains $var element = document.getElementById("moose-equation-73f53dfb-2bf9-46ea-84b9-a5e9feb70423");katex.render("\\llbracket \\hat{u} \\rrbracket = Q^T_0 \\llbracket u \\rrbracket", element, {displayMode:false,throwOnError:false});$ , its easy to see that: $(3)var element = document.getElementById("moose-equation-4fd351d9-ac2f-4a9c-88ab-2fe80736754f");katex.render(" \\frac{\\partial \\llbracket \\hat{u}\\rrbracket_l}{\\partial \\llbracket u \\rrbracket_j} = Q_{0,lj}", element, {displayMode:true,throwOnError:false});$ Similarly, using the relationship between the local and global traction we can write: $(4)var element = document.getElementById("moose-equation-93233c01-a589-4023-b7e4-64e6ba1a2745");katex.render(" \\frac{\\partial t_i}{\\partial \\hat{t}_k} = Q^T_{0,ik}", element, {displayMode:true,throwOnError:false});$ . Finally, substituting Eq. (4) and Eq. (3) in Eq. (2) we get the implemented equation form: $(5)var element = document.getElementById("moose-equation-24c18d15-ce27-4515-a7d8-a1fdee877648");katex.render(" \\frac{\\partial t_i}{\\partial \\llbracket u \\rrbracket_j} =Q_{0,ik}\\frac{\\partial \\hat{t}_k}{\\partial \\llbracket \\hat{u}\\rrbracket_l}Q^T_{0,lj}", element, {displayMode:true,throwOnError:false});$ Equation Eq. (5) is used by CZM Interface Kernel Small Strain to compute the analytic Jacobian.

Example Input File Syntax

This object is automatically added from the Cohesive Master Master Action when strain=SMALL.

Input Parameters

base_nameMaterial property base name
C++ Type:std::string
Controllable:No
Description:Material property base name
blockThe list of blocks (ids or names) that this object will be applied
C++ Type:std::vector<SubdomainName>
Controllable:No
Description:The list of blocks (ids or names) that this object will be applied
boundaryThe list of boundaries (ids or names) from the mesh where this object applies
C++ Type:std::vector<BoundaryName>
Controllable:No
Description:The list of boundaries (ids or names) from the mesh where this object applies
computeTrueWhen false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
Default:True
C++ Type:bool
Controllable:No
Description:When false, MOOSE will not call compute methods on this material. The user must call computeProperties() after retrieving the MaterialBase via MaterialBasePropertyInterface::getMaterialBase(). Non-computed MaterialBases are not sorted for dependencies.
declare_suffixAn optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any declared properties. The suffix will be prepended with a '_' character.
prop_getter_suffixAn optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.
C++ Type:MaterialPropertyName
Controllable:No
Description:An optional suffix parameter that can be appended to any attempt to retrieve/get material properties. The suffix will be prepended with a '_' character.

Optional Parameters

control_tagsAdds user-defined labels for accessing object parameters via control logic.
C++ Type:std::vector<std::string>
Controllable:No
Description:Adds user-defined labels for accessing object parameters via control logic.
enableTrueSet the enabled status of the MooseObject.
Default:True
C++ Type:bool
Controllable:Yes
Description:Set the enabled status of the MooseObject.
implicitTrueDetermines whether this object is calculated using an implicit or explicit form
Default:True
C++ Type:bool
Controllable:No
Description:Determines whether this object is calculated using an implicit or explicit form
seed0The seed for the master random number generator
Default:0
C++ Type:unsigned int
Controllable:No
Description:The seed for the master random number generator

Advanced Parameters