MooneyRivlin strain-energy function. with constitutive parameters C1 and C2:
![\[ W = C_1 (I_0 - 3) + C_2 (I_1 - 3) \]](form_123.png)
where incompressibility ( 
) is assumed.
More...
#include <constitutive_laws.h>
Inheritance diagram for oomph::MooneyRivlin:
Public Member Functions | |
| MooneyRivlin (double *c1_pt, double *c2_pt) | |
| Constructor takes the pointer to the value of the constants. More... | |
| virtual | ~MooneyRivlin () |
| Empty Virtual destructor. More... | |
| double | W (const DenseMatrix< double > &gamma) |
| Return the strain energy in terms of strain tensor. More... | |
| double | W (const Vector< double > &I) |
| Return the strain energy in terms of the strain invariants. More... | |
| void | derivatives (Vector< double > &I, Vector< double > &dWdI) |
| Return the derivatives of the strain energy function with respect to the strain invariants. More... | |
| bool | requires_incompressibility_constraint () |
| Pure virtual function in which the user must declare if the constitutive equation requires an incompressible formulation in which the volume constraint is enforced explicitly. Used as a sanity check in PARANOID mode. True. More... | |
| Public Member Functions inherited from oomph::StrainEnergyFunction | |
| StrainEnergyFunction () | |
| Constructor takes no arguments. More... | |
| virtual | ~StrainEnergyFunction () |
| Empty virtual destructor. More... | |
| virtual void | derivative (const DenseMatrix< double > &gamma, DenseMatrix< double > &dWdgamma) |
| Return the derivatives of the strain energy function with respect to the components of the strain tensor (default is to use finite differences). More... | |
Private Attributes | |
| double * | C1_pt |
| Pointer to first Mooney Rivlin constant. More... | |
| double * | C2_pt |
| Pointer to second Mooney Rivlin constant. More... | |
Detailed Description
MooneyRivlin strain-energy function. with constitutive parameters C1 and C2:
where incompressibility ( ) is assumed.
Definition at line 157 of file constitutive_laws.h.
Constructor & Destructor Documentation
◆ MooneyRivlin()
|
inline |
Constructor takes the pointer to the value of the constants.
Definition at line 163 of file constitutive_laws.h.
◆ ~MooneyRivlin()
|
inlinevirtual |
Empty Virtual destructor.
Definition at line 167 of file constitutive_laws.h.
Member Function Documentation
◆ derivatives()
|
inlinevirtual |
Return the derivatives of the strain energy function with respect to the strain invariants.
Reimplemented from oomph::StrainEnergyFunction.
Definition at line 180 of file constitutive_laws.h.
◆ requires_incompressibility_constraint()
|
inlinevirtual |
Pure virtual function in which the user must declare if the constitutive equation requires an incompressible formulation in which the volume constraint is enforced explicitly. Used as a sanity check in PARANOID mode. True.
Implements oomph::StrainEnergyFunction.
Definition at line 191 of file constitutive_laws.h.
◆ W() [1/2]
|
inlinevirtual |
Return the strain energy in terms of strain tensor.
Reimplemented from oomph::StrainEnergyFunction.
Definition at line 170 of file constitutive_laws.h.
References oomph::StrainEnergyFunction::W().
◆ W() [2/2]
|
inlinevirtual |
Return the strain energy in terms of the strain invariants.
Reimplemented from oomph::StrainEnergyFunction.
Definition at line 174 of file constitutive_laws.h.
Member Data Documentation
◆ C1_pt
|
private |
Pointer to first Mooney Rivlin constant.
Definition at line 197 of file constitutive_laws.h.
◆ C2_pt
|
private |
Pointer to second Mooney Rivlin constant.
Definition at line 200 of file constitutive_laws.h.
The documentation for this class was generated from the following file: