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MooneyRivlinUniaxial Class

Mooney-Rivlin model for uniaxial loading.
Inheritance Hierarchy
SystemObject
  Altaxo.Calc.FitFunctions.RubberElasticityMooneyRivlinUniaxial

Namespace: Altaxo.Calc.FitFunctions.RubberElasticity
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)
Syntax
C#
Copy
public class MooneyRivlinUniaxial : IFitFunctionWithDerivative, 
	IFitFunction, IEquatable<MooneyRivlinUniaxial>

The MooneyRivlinUniaxial type exposes the following members.

Constructors
 NameDescription
Public methodMooneyRivlinUniaxialInitializes a new instance of the MooneyRivlinUniaxial class
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Properties
 NameDescription
Public propertyCrossSectionArea Gets the cross-sectional area of the sample.
Public propertyNumberOfDependentVariables Number of dependent variables (i.e. y, in Altaxo this is commonly called v (like value)).
Public propertyNumberOfIndependentVariables Number of independent variables (i.e. x).
Public propertyNumberOfParameters Number of parameters of this fit function.
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Methods
 NameDescription
Public methodStatic memberCreate Creates a new instance of the fit function.
Public methodDefaultParameterValue Returns a default parameter value. You must ensure that the fit function would generate values with those default parameters.
Public methodDefaultVarianceScaling Returns the default variance scaling for the dependent variable i.
Public methodDependentVariableName Returns the ith dependent variable name.
Public methodStatic memberEvaluate(Double, Double, Double) Evaluates the Mooney-Rivlin uniaxial model for the specified strain and parameters.
Public methodEvaluate(Double, Double, Double) This evaluates a function value.
Public methodEvaluate(IROMatrixDouble, IReadOnlyListDouble, IVectorDouble, IReadOnlyListBoolean) Evaluates the function values at multiple x-points.
Public methodEvaluateDerivative Evaluates the gradient of the function with respect to the parameters.
Protected methodFinalizeAllows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection.
(Inherited from Object)
Public methodGetParameterBoundariesHardLimit Gets the parameter boundaries that are really a hard limit, i.e. outside those limits, the function would probably evaluate NaN values, or makes no sense.
Public methodGetParameterBoundariesSoftLimit Gets the intended parameter boundaries. This are soft limits, boundaries so that the intended purpose of the fit function is fullfilled. Example: in the exponential decay Exp(-a*t) a is intended to be positive. This is a soft limit, and not a hard limit, because a could be also negative, and the fit nevertheless would succeed.
Public methodGetTypeGets the Type of the current instance.
(Inherited from Object)
Public methodIndependentVariableName Returns the ith independent variable name.
Protected methodMemberwiseCloneCreates a shallow copy of the current Object.
(Inherited from Object)
Public methodParameterName Returns the ith parameter name.
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Events
 NameDescription
Public eventChanged Occurs when the fit function changed, including number or name of parameters, independent variables, dependent variables, or the scaling.
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Remarks
The model evaluates the engineering stress as a function of engineering strain using the two material parameters C10 and C01.

References:

[1] M. Mooney, „A Theory of Large Elastic Deformation“, Journal of Applied Physics, Bd. 11, Nr. 9, S. 582–592, Sep. 1940, doi: 10.1063/1.1712836.

[2] R. S. Rivlin, „Large elastic deformations of isotropic materials IV. further developments of the general theory“, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Bd. 241, Nr. 835, S. 379–397, Okt. 1948, doi: 10.1098/rsta.1948.0024.

[3] M. C. Boyce und E. M. Arruda, „Constitutive Models of Rubber Elasticity: A Review“, Rubber Chemistry and Technology, Bd. 73, Nr. 3, S. 504–523, Juli 2000, doi: 10.5254/1.3547602.

See Also