createpde

Create model

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Syntax

structuralmodel = createpde('structural',StructuralAnalysisType)
thermalmodel = createpde('thermal',ThermalAnalysisType)
model = createpde(N)

Description

example

structuralmodel = createpde('structural',StructuralAnalysisType) returns a structural analysis model for the specified analysis type. This model lets you solve small-strain linear elasticity problems.

example

thermalmodel = createpde('thermal',ThermalAnalysisType) returns a thermal analysis model for the specified analysis type.

example

model = createpde(N) returns a PDE model object for a system of N equations. A complete PDE model object contains a description of the problem you want to solve, including the geometry, mesh, and boundary conditions.

Examples

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Open Live Script

Create a static structural model for solving a solid (3-D) problem.

staticStructural = createpde('structural','static-solid')
staticStructural = 
  StructuralModel with properties:

              AnalysisType: 'static-solid'
                  Geometry: []
        MaterialProperties: []
                 BodyLoads: []
        BoundaryConditions: []
      ReferenceTemperature: []
    SuperelementInterfaces: []
                      Mesh: []
             SolverOptions: [1x1 pde.PDESolverOptions]

Create a transient structural model for solving a plane-stress (2-D) problem.

transientStructural = createpde('structural','transient-planestress')
transientStructural = 
  StructuralModel with properties:

              AnalysisType: 'transient-planestress'
                  Geometry: []
        MaterialProperties: []
                 BodyLoads: []
        BoundaryConditions: []
             DampingModels: []
         InitialConditions: []
    SuperelementInterfaces: []
                      Mesh: []
             SolverOptions: [1x1 pde.PDESolverOptions]

Create a modal analysis structural model for solving a plane-strain (2-D) problem.

modalStructural = createpde('structural','modal-planestrain')
modalStructural = 
  StructuralModel with properties:

              AnalysisType: 'modal-planestrain'
                  Geometry: []
        MaterialProperties: []
        BoundaryConditions: []
    SuperelementInterfaces: []
                      Mesh: []
             SolverOptions: [1x1 pde.PDESolverOptions]

Create a frequency response analysis structural model for solving an axisymmetric problem. An axisymmetric model simplifies a 3-D problem to 2-D using the symmetry around the axis of rotation.

frStructural = createpde('structural','frequency-axisymmetric')
frStructural = 
  StructuralModel with properties:

              AnalysisType: 'frequency-axisymmetric'
                  Geometry: []
        MaterialProperties: []
                 BodyLoads: []
        BoundaryConditions: []
             DampingModels: []
    SuperelementInterfaces: []
                      Mesh: []
             SolverOptions: [1x1 pde.PDESolverOptions]
Open Live Script

Create a model for a steady-state thermal problem. 

thermalmodel = createpde('thermal','steadystate')
thermalmodel = 
  ThermalModel with properties:

               AnalysisType: 'steadystate'
                   Geometry: []
         MaterialProperties: []
                HeatSources: []
    StefanBoltzmannConstant: []
         BoundaryConditions: []
          InitialConditions: []
                       Mesh: []
              SolverOptions: [1x1 pde.PDESolverOptions]

Create a model for a transient thermal problem.

thermalmodel = createpde('thermal','transient')
thermalmodel = 
  ThermalModel with properties:

               AnalysisType: 'transient'
                   Geometry: []
         MaterialProperties: []
                HeatSources: []
    StefanBoltzmannConstant: []
         BoundaryConditions: []
          InitialConditions: []
                       Mesh: []
              SolverOptions: [1x1 pde.PDESolverOptions]

Create a transient thermal model for solving an axisymmetric problem. An axisymmetric model simplifies a 3-D problem to 2-D using the symmetry around the axis of rotation.

thermalmodel = createpde('thermal','transient-axisymmetric')
thermalmodel = 
  ThermalModel with properties:

               AnalysisType: 'transient-axisymmetric'
                   Geometry: []
         MaterialProperties: []
                HeatSources: []
    StefanBoltzmannConstant: []
         BoundaryConditions: []
          InitialConditions: []
                       Mesh: []
              SolverOptions: [1x1 pde.PDESolverOptions]
Open Live Script

Create a model for a general linear or nonlinear single (scalar) PDE. 

model = createpde
model = 
  PDEModel with properties:

           PDESystemSize: 1
         IsTimeDependent: 0
                Geometry: []
    EquationCoefficients: []
      BoundaryConditions: []
       InitialConditions: []
                    Mesh: []
           SolverOptions: [1x1 pde.PDESolverOptions]

Create a PDE model for a system of three equations.

model = createpde(3)
model = 
  PDEModel with properties:

           PDESystemSize: 3
         IsTimeDependent: 0
                Geometry: []
    EquationCoefficients: []
      BoundaryConditions: []
       InitialConditions: []
                    Mesh: []
           SolverOptions: [1x1 pde.PDESolverOptions]

Input Arguments

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Type of analysis, specified as one of the following values.

For static analysis, use these values:

  • 'static-solid' to create a structural model for static analysis of a solid (3-D) problem.

  • 'static-planestress' to create a structural model for static analysis of a plane-stress problem.

  • 'static-planestrain' to create a structural model for static analysis of a plane-strain problem.

  • 'static-axisymmetric' to create an axisymmetric (2-D) structural model for static analysis.

For transient analysis, use these values:

  • 'transient-solid' to create a structural model for transient analysis of a solid (3-D) problem.

  • 'transient-planestress' to create a structural model for transient analysis of a plane-stress problem.

  • 'transient-planestrain' to create a structural model for transient analysis of a plane-strain problem.

  • 'transient-axisymmetric' to create an axisymmetric (2-D) structural model for transient analysis.

For modal analysis, use these values:

  • 'modal-solid' to create a structural model for modal analysis of a solid (3-D) problem.

  • 'modal-planestress' to create a structural model for modal analysis of a plane-stress problem.

  • 'modal-planestrain' to create a structural model for modal analysis of a plane-strain problem.

  • 'modal-axisymmetric' to create an axisymmetric (2-D) structural model for modal analysis.

For frequency response analysis, use these values:

  • 'frequency-solid' to create a structural model for frequency response analysis of a solid (3-D) problem.

  • 'frequency-planestress' to create a structural model for frequency response analysis of a plane-stress problem.

  • 'frequency-planestrain' to create a structural model for frequency response analysis of a plane-strain problem.

  • 'frequency-axisymmetric' to create an axisymmetric (2-D) structural model for frequency response analysis.

For axisymmetric models, the toolbox assumes that the axis of rotation is the vertical axis passing through r = 0.

Example: model = createpde('structural','static-solid')

Data Types: char | string

Type of thermal analysis, specified as one of the following values:

  • 'steadystate' creates a steady-state thermal model. If you do not specify ThermalAnalysisType for a thermal model, createpde creates a steady-state model.

  • 'transient' creates a transient thermal model.

  • 'steadystate-axisymmetric' creates an axisymmetric (2-D) thermal model for steady-state analysis.

  • 'transient-axisymmetric' creates an axisymmetric (2-D) thermal model for transient analysis.

For axisymmetric models, the toolbox assumes that the axis of rotation is the vertical axis passing through r = 0.

Example: model = createpde('thermal','transient')

Data Types: char | string

Number of equations, specified as a positive integer. You do not need to specify N for a model where N = 1.

Example: model = createpde

Example: model = createpde(3);

Data Types: double

Output Arguments

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Structural model, returned as a StructuralModel object.

Example: structuralmodel = createpde('structural','static-solid')

Thermal model, returned as a ThermalModel object.

Example: thermalmodel = createpde('thermal')

PDE model, returned as a PDEModel object.

Example: model = createpde(2)

See Also

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Topics

Introduced in R2015a

Partial Differential Equation Toolbox Documentation

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