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Wolfram Language & System Documentation Center
SolidDisplacementCondition
  • See Also
    • SolidMechanicsPDEComponent
    • SolidMechanicsStrain
    • SolidMechanicsStress
    • SolidBoundaryLoadValue
    • DirichletCondition
    • SolidFixedCondition
  • Related Guides
    • Solid Mechanics PDEs and Boundary Conditions
    • Partial Differential Equation Terms
  • Tech Notes
    • Solid Mechanics
    • Solid Mechanics Displacement Condition
    • Solid Mechanics Model Verification
    • See Also
      • SolidMechanicsPDEComponent
      • SolidMechanicsStrain
      • SolidMechanicsStress
      • SolidBoundaryLoadValue
      • DirichletCondition
      • SolidFixedCondition
    • Related Guides
      • Solid Mechanics PDEs and Boundary Conditions
      • Partial Differential Equation Terms
    • Tech Notes
      • Solid Mechanics
      • Solid Mechanics Displacement Condition
      • Solid Mechanics Model Verification

SolidDisplacementCondition[pred,vars,pars]

represents a prescribed displacement on a solid boundary for PDEs with predicate pred indicating where it applies, with model variables vars and global parameters pars.

SolidDisplacementCondition[pred,vars,pars,lkeys]

represents a prescribed displacement with local parameters specified in pars[lkey].

Details
Details and Options Details and Options
Examples  
Basic Examples  
Scope  
Properties & Relations  
See Also
Tech Notes
Related Guides
History
Cite this Page
BUILT-IN SYMBOL
  • See Also
    • SolidMechanicsPDEComponent
    • SolidMechanicsStrain
    • SolidMechanicsStress
    • SolidBoundaryLoadValue
    • DirichletCondition
    • SolidFixedCondition
  • Related Guides
    • Solid Mechanics PDEs and Boundary Conditions
    • Partial Differential Equation Terms
  • Tech Notes
    • Solid Mechanics
    • Solid Mechanics Displacement Condition
    • Solid Mechanics Model Verification
    • See Also
      • SolidMechanicsPDEComponent
      • SolidMechanicsStrain
      • SolidMechanicsStress
      • SolidBoundaryLoadValue
      • DirichletCondition
      • SolidFixedCondition
    • Related Guides
      • Solid Mechanics PDEs and Boundary Conditions
      • Partial Differential Equation Terms
    • Tech Notes
      • Solid Mechanics
      • Solid Mechanics Displacement Condition
      • Solid Mechanics Model Verification

SolidDisplacementCondition

SolidDisplacementCondition[pred,vars,pars]

represents a prescribed displacement on a solid boundary for PDEs with predicate pred indicating where it applies, with model variables vars and global parameters pars.

SolidDisplacementCondition[pred,vars,pars,lkeys]

represents a prescribed displacement with local parameters specified in pars[lkey].

Details

  • SolidDisplacementCondition specifies a boundary condition for SolidMechanicsPDEComponent.
  • SolidDisplacementCondition is typically used to prescribe the displacement of a boundary of a solid. Common examples include a beam that has a face displaced from its original position.
  • SolidDisplacementCondition constrains the movement of a solid with dependent variables , and , independent variables and time variable .
  • Stationary variables vars are vars={{u[x1,…,xn],v[x1,…,xn],…},{x1,…,xn}}.
  • Time-dependent variables vars are vars={{u[t,x1,…,xn],v[t,x1,…,xn],…},t,{x1,…,xn}}.
  • Frequency-dependent variables vars are vars={{u[x1,…,xn],v[x1,…,xn],…},ω,{x1,…,xn}}.
  • Model parameters pars are specified as for SolidMechanicsPDEComponent.
  • SolidDisplacementCondition implements constraints , and with the prescribed displacement.
  • The following model parameters pars can be given:
  • parameterdefaultsymbol
    "Displacement"{0,0,0}
  • To leave direction unconstrained, None can be specified for that displacement.
  • The default behavior of SolidDisplacementCondition is a SolidFixedCondition.
  • The fixed constraint SolidDisplacementCondition models , and .
  • A prescribed displacement condition boundary can be used with:
  • analysis typeapplicable
    TransientYes
    Frequency ResponseYes
    EigenfrequencyNo
    StationaryYes
  • SolidDisplacementCondition can only be used with an eigenfrequency analysis if the prescribed component is 0 or None.
  • SolidDisplacementCondition evaluates to a DirichletCondition.
  • The boundary predicate pred can be specified as in DirichletCondition.

Examples

open all close all

Basic Examples  (1)

Set up variables, parameters and a beam of 1 meter length and 1/10 meter height and width:

The beam is held fixed at the left. Prescribe 0 displacement in the and directions and a displacement of 1/10 meter in the negative direction:

Visualize the deformed beam in blue and note that at the right end the prescribed displacement relative to the original beam is satisfied:

Prescribe a displacement of 1/10 meter in the negative direction and keep the other directions unconstrained:

Visualize the deformed beam in blue and note that at the right end the prescribed displacement relative to the original beam is satisfied:

Scope  (2)

Create a time-dependent displacement condition:

Create a parametric displacement condition:

Properties & Relations  (2)

SolidDisplacementCondition evaluates to DirichletCondition:

SolidFixedCondition is a special case of SolidDisplacementCondition. Set up variables and parameters:

Create a fixed constraint:

This is the same as a displacement condition with 0 displacement:

See Also

SolidMechanicsPDEComponent  SolidMechanicsStrain  SolidMechanicsStress  SolidBoundaryLoadValue  DirichletCondition  SolidFixedCondition

Tech Notes

    ▪
  • Solid Mechanics
  • ▪
  • Solid Mechanics Displacement Condition
  • ▪
  • Solid Mechanics Model Verification

Related Guides

    ▪
  • Solid Mechanics PDEs and Boundary Conditions
  • ▪
  • Partial Differential Equation Terms

History

Introduced in 2021 (13.0)

Wolfram Research (2021), SolidDisplacementCondition, Wolfram Language function, https://reference.wolfram.com/language/ref/SolidDisplacementCondition.html.

Text

Wolfram Research (2021), SolidDisplacementCondition, Wolfram Language function, https://reference.wolfram.com/language/ref/SolidDisplacementCondition.html.

CMS

Wolfram Language. 2021. "SolidDisplacementCondition." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/SolidDisplacementCondition.html.

APA

Wolfram Language. (2021). SolidDisplacementCondition. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/SolidDisplacementCondition.html

BibTeX

@misc{reference.wolfram_2025_soliddisplacementcondition, author="Wolfram Research", title="{SolidDisplacementCondition}", year="2021", howpublished="\url{https://reference.wolfram.com/language/ref/SolidDisplacementCondition.html}", note=[Accessed: 01-December-2025]}

BibLaTeX

@online{reference.wolfram_2025_soliddisplacementcondition, organization={Wolfram Research}, title={SolidDisplacementCondition}, year={2021}, url={https://reference.wolfram.com/language/ref/SolidDisplacementCondition.html}, note=[Accessed: 01-December-2025]}

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