Odgen |
Odgen model for uniaxial loading.
Inheritance HierarchyNamespace: Altaxo.Calc.FitFunctions.RubberElasticity
Assembly: AltaxoCore (in AltaxoCore.dll) Version: 4.8.3572.0 (4.8.3572.0)
SyntaxC#
public class OdgenUniaxial : IFitFunctionWithDerivative, IFitFunction, IEquatable<OdgenUniaxial>
The OdgenUniaxial type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | OdgenUniaxial | Initializes a new instance of the OdgenUniaxial class |
Properties| Name | Description | |
|---|---|---|
 | CrossSectionArea | Gets the cross-sectional area of the sample. |
| NumberOfDependentVariables | Number of dependent variables (i.e. y, in Altaxo this is commonly called v (like value)). |
| NumberOfIndependentVariables | Number of independent variables (i.e. x). |
| NumberOfParameters | Number of parameters of this fit function. |
| NumberOfTerms | Gets the number of terms in the model (order of the model. |
Methods| Name | Description | |
|---|---|---|
 | Create | Creates a new instance of the fit function. |
| DefaultParameterValue | Returns a default parameter value. You must ensure that the fit function would generate values with those default parameters. |
| DefaultVarianceScaling | Returns the default variance scaling for the dependent variable i. |
| DependentVariableName | Returns the ith dependent variable name. |
| Evaluate(Double, Double, Double) | This evaluates a function value. |
| Evaluate(IROMatrixDouble, IReadOnlyListDouble, IVectorDouble, IReadOnlyListBoolean) | Evaluates the function values at multiple x-points. |
| EvaluateDerivative | Evaluates the gradient of the function with respect to the parameters. |
| EvaluateOneTerm | Evaluates one term of the Odgen model with uniaxial loading (pure shear) for the specified strain and parameters. |
 | Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| GetParameterBoundariesHardLimit | 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. |
| GetParameterBoundariesSoftLimit | 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. |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| IndependentVariableName | Returns the ith independent variable name. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| ParameterName | Returns the ith parameter name. |
Events| Name | Description | |
|---|---|---|
 | Changed | Occurs when the fit function changed, including number or name of parameters, independent variables, dependent variables, or the scaling. |
Remarks
The model evaluates the engineering stress as a function of engineering strain using a user-chooseable number of terms, each with a prefactor µ and an exponent α.
Reference: [1] R. W. Ogden, „Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids“, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, Bd. 326, Nr. 1567, S. 565–584, Feb. 1972, doi: 10.1098/rspa.1972.0026.
See Also