serac::LiquidCrystalElastomerBertoldi Struct Reference

Bertoldi's liquid crystal elastomer model Paper: Li, S., Librandi, G., Yao, Y., Richard, A. J., Schneider‐Yamamura, A., Aizenberg, J., & Bertoldi, K. (2021). Controlling Liquid Crystal Orientations for Programmable Anisotropic Transformations in Cellular Microstructures. Advanced Materials, 33(42), 2105024. More...

#include <liquid_crystal_elastomer.hpp>

Public Types
using	State = Empty
	this material has no internal variables

Public Member Functions
	LiquidCrystalElastomerBertoldi (double rho, double young_modulus, double poisson_ratio, double initial_order_parameter, double beta_parameter)
	Constructor. More...
template<typename DispGradType , typename OrderParamType , typename GammaAngleType , typename EtaAngleType >
SERAC_HOST_DEVICE auto	operator() (State &, const tensor< DispGradType, dim, dim > &displacement_grad, OrderParamType inst_order_param_tuple, GammaAngleType gamma_tuple, EtaAngleType eta_tuple) const
	Material response. More...
template<typename DispGradType , typename orderParamType , typename GammaAngleType , typename EtaAngleType >
auto	calculateStrainEnergy (const State &, const tensor< DispGradType, dim, dim > &displacement_grad, orderParamType inst_order_param_tuple, GammaAngleType gamma_tuple, EtaAngleType eta_tuple) const
	Compute the strain energy. More...

Public Attributes
double	density
	mass density
double	young_modulus_
	Young's modulus in stress-free configuration.
double	poisson_ratio_
	poisson's ratio
double	initial_order_parameter_
	initial value of order parameter
double	beta_parameter_
	Degree of coupling between elastic and nematic energies.

Static Public Attributes
static constexpr int	dim = 3
	this model is only intended to be used in 3D

Detailed Description

Bertoldi's liquid crystal elastomer model Paper: Li, S., Librandi, G., Yao, Y., Richard, A. J., Schneider‐Yamamura, A., Aizenberg, J., & Bertoldi, K. (2021). Controlling Liquid Crystal Orientations for Programmable Anisotropic Transformations in Cellular Microstructures. Advanced Materials, 33(42), 2105024.

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Definition at line 210 of file liquid_crystal_elastomer.hpp.

Constructor & Destructor Documentation

LiquidCrystalElastomerBertoldi()

serac::LiquidCrystalElastomerBertoldi::LiquidCrystalElastomerBertoldi ( double  rho, double  young_modulus, double  poisson_ratio, double  initial_order_parameter, double  beta_parameter  )

inline

Constructor.

Parameters

rho	mass density of the material (in reference configuration)
young_modulus	Bulk modulus of the material
poisson_ratio	Poisson ratio of the material
initial_order_parameter	Initial value of the order parameter
beta_parameter	Parameter for degree of coupling between elastic and nematic energies

Definition at line 225 of file liquid_crystal_elastomer.hpp.

Member Function Documentation

calculateStrainEnergy()

template<typename DispGradType , typename orderParamType , typename GammaAngleType , typename EtaAngleType >

auto serac::LiquidCrystalElastomerBertoldi::calculateStrainEnergy ( const State &  , const tensor< DispGradType, dim, dim > &  displacement_grad, orderParamType  inst_order_param_tuple, GammaAngleType  gamma_tuple, EtaAngleType  eta_tuple  ) const

inline

Compute the strain energy.

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Template Parameters

DispGradType	Type of the displacement gradient
orderParamType	Type of order parameter (level of alignment)
GammaAngleType	Type of the in-plane angle
EtaAngleType	Type of the out-of-plane angle

Parameters

[in]	displacement_grad	Displacement gradient
[in]	inst_order_param_tuple	Instantaneous order parameter
[in]	gamma_tuple	In-plane angle of alignment of liquid crystal in elastomer matrix
[in]	eta_tuple	Out-of-plane angle of alignment of liquid crystal in elastomer matrix

Returns

strain energy

Definition at line 312 of file liquid_crystal_elastomer.hpp.

operator()()

template<typename DispGradType , typename OrderParamType , typename GammaAngleType , typename EtaAngleType >

SERAC_HOST_DEVICE auto serac::LiquidCrystalElastomerBertoldi::operator() ( State &  , const tensor< DispGradType, dim, dim > &  displacement_grad, OrderParamType  inst_order_param_tuple, GammaAngleType  gamma_tuple, EtaAngleType  eta_tuple  ) const

inline

Material response.

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Template Parameters

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
EtaAngleType	number-like type for the orientation angle eta

Parameters

[in]	displacement_grad	displacement gradient with respect to the reference configuration
[in]	inst_order_param_tuple	the current order parameter
[in]	gamma_tuple	the first polar angle used to define the liquid crystal orientation vector
[in]	eta_tuple	the second polar angle used to define the liquid crystal orientation vector

Returns

The calculated material response (Cauchy stress) for the material

Definition at line 258 of file liquid_crystal_elastomer.hpp.

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The documentation for this struct was generated from the following file:

• src/serac/physics/materials/liquid_crystal_elastomer.hpp