MFEM v4.7.0
Finite element discretization library
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2D barrier Shape+Size (VS) metric (not polyconvex). More...
#include <tmop.hpp>
Public Member Functions | |
virtual real_t | EvalW (const DenseMatrix &Jpt) const |
Evaluate the strain energy density function, W = W(Jpt), by using the 2D or 3D matrix invariants, see linalg/invariants.hpp. | |
virtual void | EvalP (const DenseMatrix &Jpt, DenseMatrix &P) const |
Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt). | |
virtual void | AssembleH (const DenseMatrix &Jpt, const DenseMatrix &DS, const real_t weight, DenseMatrix &A) const |
Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'. | |
virtual int | Id () const |
Return the metric ID. | |
Public Member Functions inherited from mfem::TMOP_QualityMetric | |
TMOP_QualityMetric () | |
virtual | ~TMOP_QualityMetric () |
virtual void | SetTargetJacobian (const DenseMatrix &Jtr_) |
Specify the reference-element -> target-element Jacobian matrix for the point of interest. | |
virtual real_t | EvalWMatrixForm (const DenseMatrix &Jpt) const |
Evaluates the metric in matrix form (opposed to invariant form). Used for validating the invariant evaluations. | |
Public Member Functions inherited from mfem::HyperelasticModel | |
HyperelasticModel () | |
virtual | ~HyperelasticModel () |
void | SetTransformation (ElementTransformation &Ttr_) |
Protected Attributes | |
InvariantsEvaluator2D< real_t > | ie |
Protected Attributes inherited from mfem::TMOP_QualityMetric | |
const DenseMatrix * | Jtr |
Protected Attributes inherited from mfem::HyperelasticModel | |
ElementTransformation * | Ttr |
Additional Inherited Members | |
Protected Member Functions inherited from mfem::TMOP_QualityMetric | |
void | SetTransformation (ElementTransformation &) |
The method HyperelasticModel::SetTransformation() is hidden for TMOP_QualityMetrics, because it is not used. | |
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virtual |
Evaluate the derivative of the 1st Piola-Kirchhoff stress tensor and assemble its contribution to the local gradient matrix 'A'.
[in] | Jpt | Represents the target->physical transformation Jacobian matrix. |
[in] | DS | Gradient of the basis matrix (dof x dim). |
[in] | weight | Quadrature weight coefficient for the point. |
[in,out] | A | Local gradient matrix where the contribution from this point will be added. |
Computes weight * d(dW_dxi)_d(xj) at the current point, for all i and j, where x1 ... xn are the FE dofs. This function is usually defined using the matrix invariants and their derivatives.
Implements mfem::TMOP_QualityMetric.
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virtual |
Evaluate the 1st Piola-Kirchhoff stress tensor, P = P(Jpt).
[in] | Jpt | Represents the target->physical transformation Jacobian matrix. |
[out] | P | The evaluated 1st Piola-Kirchhoff stress tensor. |
Implements mfem::TMOP_QualityMetric.
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virtual |
Evaluate the strain energy density function, W = W(Jpt), by using the 2D or 3D matrix invariants, see linalg/invariants.hpp.
[in] | Jpt | Represents the target->physical transformation Jacobian matrix. |
Implements mfem::TMOP_QualityMetric.
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inlinevirtual |
Return the metric ID.
Reimplemented from mfem::TMOP_QualityMetric.
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mutableprotected |