Brighenti's liquid crystal elastomer model.
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#include <liquid_crystal_elastomer.hpp>
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| struct | State |
| | internal variables for the liquid crystal elastomer model More...
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| | LiquidCrystElastomerBrighenti (double rho, double shear_modulus, double bulk_modulus, double order_constant, double order_parameter, double transition_temperature, double N_b_squared) |
| | Constructor. More...
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| template<typename DispGradType , typename OrderParamType , typename GammaAngleType > |
| SERAC_HOST_DEVICE auto | operator() (State &state, const tensor< DispGradType, dim, dim > &displacement_grad, OrderParamType temperature_tuple, GammaAngleType gamma_tuple) const |
| | Material response. More...
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| template<typename S , typename T , typename U > |
| auto | calculateDistributionTensor (const State &state, const tensor< S, dim, dim > &F_hat, const T theta, const tensor< U, dim > &normal) const |
| | Compute the distribution tensor using Brighenti's model. More...
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static constexpr int | dim = 3 |
| | this model is only intended to be used in 3D
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Brighenti's liquid crystal elastomer model.
Definition at line 29 of file liquid_crystal_elastomer.hpp.
◆ LiquidCrystElastomerBrighenti()
| serac::LiquidCrystElastomerBrighenti::LiquidCrystElastomerBrighenti |
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double |
rho, |
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double |
shear_modulus, |
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double |
bulk_modulus, |
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double |
order_constant, |
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double |
order_parameter, |
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double |
transition_temperature, |
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double |
N_b_squared |
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inline |
Constructor.
- Parameters
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| rho | mass density of the material (in reference configuration) |
| shear_modulus | Shear modulus of the material |
| bulk_modulus | Bulk modulus of the material |
| order_constant | temperature-valued constant in exponential factor for order parameter |
| order_parameter | Initial value of the order parameter |
| transition_temperature | Characteristic temperature of the order-disorder transition |
| N_b_squared | Number of Kunh segments/chain, times square of Kuhn segment length |
Definition at line 51 of file liquid_crystal_elastomer.hpp.
◆ calculateDistributionTensor()
template<typename S , typename T , typename U >
| auto serac::LiquidCrystElastomerBrighenti::calculateDistributionTensor |
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const State & |
state, |
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const tensor< S, dim, dim > & |
F_hat, |
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const T |
theta, |
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const tensor< U, dim > & |
normal |
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inline |
Compute the distribution tensor using Brighenti's model.
- Template Parameters
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| S | Type of the deformation gradient |
| T | Type of angle of the liquid crystals |
| U | Type of the unit length normal of liquid crystal alignment (first-order tensor) |
- Parameters
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| state | State variables for this material |
| F_hat | Dot product of the current and previous deformation gradients |
| theta | In-plane angle of the liquid crystals in the elastomer matrix |
| normal | Unit length normal of angle alignment |
- Returns
- distribution tensor
Definition at line 146 of file liquid_crystal_elastomer.hpp.
◆ operator()()
template<typename DispGradType , typename OrderParamType , typename GammaAngleType >
| SERAC_HOST_DEVICE auto serac::LiquidCrystElastomerBrighenti::operator() |
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State & |
state, |
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const tensor< DispGradType, dim, dim > & |
displacement_grad, |
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OrderParamType |
temperature_tuple, |
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GammaAngleType |
gamma_tuple |
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inline |
Material response.
- Template Parameters
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| DispGradType | number-like type for the displacement gradient tensor |
| OrderParamType | number-like type for the order parameter |
| GammaAngleType | number-like type for the orientation angle gamma |
- Parameters
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| [in,out] | state | A state variable object for this material. The value is updated in place. |
| [in] | displacement_grad | displacement gradient with respect to the reference configuration |
| [in] | temperature_tuple | the temperature |
| [in] | gamma_tuple | the first polar angle used to define the liquid crystal orientation vector |
- Returns
- The calculated material response (Cauchy stress) for the material
Definition at line 83 of file liquid_crystal_elastomer.hpp.
◆ density
| double serac::LiquidCrystElastomerBrighenti::density |
The documentation for this struct was generated from the following file:
