Marmot::ContinuumMechanics::PlaneStress Namespace Reference

Functions
Eigen::Matrix3d	getPlaneStressTangent (const Matrix6d &C)
EigenTensors::Tensor322d	compute_dStress_dDeformationGradient (const EigenTensors::Tensor633d &dStressdDeformationGradient3D)
Marmot::Vector6d	planeStressCompensationStrain (const Marmot::Vector6d &elasticStrain, double nu)
Matrix6d	planeStressTangentTransformationMatrix (const Matrix6d &tangent)
Eigen::Matrix< double, 6, 3 >	dStrainDStrainPlaneStress (const Matrix6d &tangent)
Eigen::Matrix< double, 3, 6 >	dStressPlaneStressDStress ()

Function Documentation

getPlaneStressTangent()

Matrix3d Marmot::ContinuumMechanics::PlaneStress::getPlaneStressTangent

(

const Matrix6d &

C

)

Extract the plane stress stiffness matrix from a given three-dimensional stiffness matrix.

Parameters

C	3D stiffness matrix \(\mathbb{C}\) given in Voigt notation.

compute_dStress_dDeformationGradient()

EigenTensors::Tensor322d Marmot::ContinuumMechanics::PlaneStress::compute_dStress_dDeformationGradient

(

const EigenTensors::Tensor633d &

dStressdDeformationGradient3D

)

Extract the plane stress derivitive of the stress in Voigt notation with respect to the deformation gradient \(F_{ij}\) from the corresponding derivative in a 3d setting.

planeStressCompensationStrain()

Vector6d Marmot::ContinuumMechanics::PlaneStress::planeStressCompensationStrain	(	const Marmot::Vector6d &	elasticStrain,
		double	nu
	)

Compute the out-of-plane strain component \($\varepsilon_{33}\) for a given elastic strain, to compute the compensation for planeStress = Cel : (elasticStrain + compensationStrain)

planeStressTangentTransformationMatrix()

Matrix6d Marmot::ContinuumMechanics::PlaneStress::planeStressTangentTransformationMatrix

(

const Matrix6d &

tangent

)

dStrainDStrainPlaneStress()

Matrix< double, 6, 3 > Marmot::ContinuumMechanics::PlaneStress::dStrainDStrainPlaneStress

(

const Matrix6d &

tangent

)

Compute the derivative of the three-dimensional strain tensor with respect to the strain tensor in a plane stress setting.

dStressPlaneStressDStress()

Matrix< double, 3, 6 > Marmot::ContinuumMechanics::PlaneStress::dStressPlaneStressDStress

(

)

Compute the derivative of the three-dimensional stress tensor with respect to the plane stress tensor.