chrono::fea::ChVoightTensor< Real > Class Template Reference

Description

template<class Real = double>
class chrono::fea::ChVoightTensor< Real >

Base class for stress and strain tensors, in compact Voight notation that is with 6 components in a column.

This saves some memory when compared to traditional 3D tensors with three rows and three columns, that are symmetric.

#include <ChTensors.h>

Inheritance diagram for chrono::fea::ChVoightTensor< Real >:
Collaboration diagram for chrono::fea::ChVoightTensor< Real >:

Public Member Functions

 ChVoightTensor ()
 Constructors (default empty)
 
template<class RealB >
 ChVoightTensor (const ChMatrix33< RealB > &msource)
 Copy constructor, from a typical 3D rank-two stress or strain tensor (as 3x3 matrix)
 
Real & XX ()
 
const Real & XX () const
 
Real & YY ()
 
const Real & YY () const
 
Real & ZZ ()
 
const Real & ZZ () const
 
Real & XY ()
 
const Real & XY () const
 
Real & XZ ()
 
const Real & XZ () const
 
Real & YZ ()
 
const Real & YZ () const
 
template<class RealB >
void ConvertFromMatrix (const ChMatrix33< RealB > &msource)
 Convert from a typical 3D rank-two stress or strain tensor (a 3x3 matrix)
 
template<class RealB >
void ConvertToMatrix (ChMatrix33< RealB > &mdest)
 Convert to a typical 3D rank-two stress or strain tensor (a 3x3 matrix)
 
Real GetVolumetricPart () const
 Compute the volumetric part of the tensor, that is the trace V =Txx+Tyy+Tzz. More...
 
void GetDeviatoricPart (ChVoightTensor< Real > &mdeviatoric) const
 Compute the deviatoric part of the tensor, storing it in mdeviatoric.
 
Real GetInvariant_I1 () const
 Compute the I1 invariant.
 
Real GetInvariant_I2 () const
 Compute the I2 invariant.
 
Real GetInvariant_I3 () const
 Compute the I3 invariant.
 
Real GetInvariant_J1 () const
 Compute the J1 invariant of the deviatoric part (that is always 0)
 
Real GetInvariant_J2 () const
 Compute the J2 invariant of the deviatoric part.
 
Real GetInvariant_J3 () const
 Compute the J3 invariant of the deviatoric part.
 
void Rotate (ChMatrix33< Real > Rot)
 Rotate to another reference coordinate system, overwriting this tensor in place. More...
 
void ComputeEigenvalues (double &e1, double &e2, double &e3)
 Compute the eigenvalues (closed form method)
 
void ComputeEigenvectors (double &eigval1, double &eigval2, double &eigval3, ChVector< Real > &eigvector1, ChVector< Real > &eigvector2, ChVector< Real > &eigvector3)
 Compute the eigenvectors and the eigenvalues.
 
double GetEquivalentVonMises () const
 FORMULAS THAT ARE USEFUL FOR YELD CRITERIONS: More...
 
double GetEquivalentMeanHydrostatic () const
 Compute the mean hydrostatic value (aka volumetric, normal)
 
double GetEquivalentOctahedralNormal () const
 Compute the octahedral normal invariant (aka hydrostatic, volumetric)
 
double GetEquivalentOctahedralDeviatoric () const
 Compute the octahedral deviatoric invariant (aka shear)
 
- Public Member Functions inherited from chrono::ChMatrixNM< Real, 6, 1 >
 ChMatrixNM ()
 The default constructor builds a NxN matrix.
 
 ChMatrixNM (const ChMatrixNM< Real, preall_rows, preall_columns > &msource)
 Copy constructor.
 
 ChMatrixNM (const ChMatrix< RealB > &msource)
 Copy constructor from all types of base matrices (only with same size)
 
virtual ~ChMatrixNM ()
 Destructor.
 
ChMatrixNM< Real, preall_rows, preall_columns > & operator= (const ChMatrix< Real > &matbis)
 Assignment operator (from generic other matrix, acceptable only if other matrix has same size)
 
ChMatrixNM< Real, preall_rows, preall_columns > operator- () const
 Negates sign of the matrix. More...
 
ChMatrixNM< Real, preall_rows, preall_columns > operator- (const ChMatrix< RealB > &matbis) const
 Subtracts this matrix and another matrix (of same size). More...
 
ChMatrixNM< Real, preall_rows, preall_columns > operator+ (const ChMatrix< RealB > &matbis) const
 Sums this matrix and another matrix (of same size) Performance warning: a new object is created. More...
 
ChMatrixNM< Real, preall_rows, B_columns > operator* (const ChMatrixNM< RealB, preall_columns, B_columns > &matbis) const
 Multiplies this matrix and another ChMatrixNM matrix. More...
 
ChMatrixDynamic< Real > operator* (const ChMatrix< RealB > &matbis) const
 Multiplies this matrix and another generic matrix. More...
 
ChMatrixNM< Real, preall_rows, preall_columns > operator* (const Real factor) const
 Multiplies this matrix by a scalar value Performance warning: a new object is created. More...
 
virtual void Resize (int nrows, int ncols)
 Resize for this matrix is NOT SUPPORTED ! DO NOTHING!
 
- Public Member Functions inherited from chrono::ChMatrix< Real >
Real & operator() (const int row, const int col)
 Parenthesis () operator, to access a single element of the matrix, by supplying the row and the column (indexes start from 0). More...
 
const Real & operator() (const int row, const int col) const
 
Real & operator() (const int el)
 Parenthesis () operator, to access a single element of the matrix, by supplying the ordinal of the element (indexes start from 0). More...
 
const Real & operator() (const int el) const
 
Real * operator[] (const int row)
 The [] operator returns the address of the n-th row. More...
 
const Real * operator[] (const int row) const
 
ChMatrix< Real > & operator*= (const Real factor)
 Multiplies this matrix by a factor, in place.
 
template<class RealB >
ChMatrix< Real > & operator+= (const ChMatrix< RealB > &matbis)
 Increments this matrix by another matrix, in place.
 
template<class RealB >
ChMatrix< Real > & operator-= (const ChMatrix< RealB > &matbis)
 Decrements this matrix by another matrix, in place.
 
bool operator== (const ChMatrix< Real > &other)
 Matrices are equal?
 
bool operator!= (const ChMatrix< Real > &other)
 Matrices are not equal?
 
ChMatrix< Real > & operator= (const ChMatrix< Real > &matbis)
 Assignment operator.
 
template<class RealB >
ChMatrix< Real > & operator= (const ChMatrix< RealB > &matbis)
 
void SetElement (int row, int col, Real elem)
 Sets the element at row,col position. Indexes start with zero.
 
Real GetElement (int row, int col)
 Gets the element at row,col position. More...
 
Real GetElement (int row, int col) const
 
void SetElementN (int index, Real elem)
 Sets the Nth element, counting row after row.
 
Real GetElementN (int index)
 Gets the Nth element, counting row after row.
 
const Real GetElementN (int index) const
 
Real & Element (int row, int col)
 Access a single element of the matrix, by supplying the row and the column (indexes start from 0). More...
 
const Real & Element (int row, int col) const
 
Real & ElementN (int index)
 Access a single element of the matrix, the Nth element, counting row after row. More...
 
const Real & ElementN (int index) const
 
Real * GetAddress ()
 Access directly the "Real* address" buffer. More...
 
const Real * GetAddress () const
 
int GetRows () const
 Gets the number of rows.
 
int GetColumns () const
 Gets the number of columns.
 
void SwapColumns (int a, int b)
 Swaps the columns a and b.
 
void SwapRows (int a, int b)
 Swap the rows a and b.
 
void FillDiag (Real sample)
 Fill the diagonal elements, given a sample. More...
 
void FillElem (Real sample)
 Fill the matrix with the same value in all elements.
 
void FillRandom (Real max, Real min)
 Fill the matrix with random float numbers, falling within the "max"/"min" range. More...
 
void Reset ()
 Resets the matrix to zero (warning: simply sets memory to 0 bytes!)
 
void Reset (int nrows, int ncols)
 Reset to zeroes and (if needed) changes the size to have row and col.
 
void SetIdentity ()
 Reset to identity matrix (ones on diagonal, zero elsewhere)
 
template<class RealB >
void CopyFromMatrix (const ChMatrix< RealB > &matra)
 Copy a matrix "matra" into this matrix. More...
 
template<class RealB >
void CopyFromMatrixT (const ChMatrix< RealB > &matra)
 Copy the transpose of matrix "matra" into this matrix. More...
 
template<class RealB >
void CopyTUpMatrix (const ChMatrix< RealB > &matra)
 Copy the transposed upper triangular part of "matra" in the lower triangular part of this matrix. More...
 
template<class RealB >
void CopyTLwMatrix (const ChMatrix< RealB > &matra)
 Copy the transposed lower triangulat part of "matra" in the upper triangular part of this matrix. More...
 
virtual void ArchiveOUT (ChArchiveOut &marchive)
 Method to allow serialization of transient data in archives.
 
virtual void ArchiveIN (ChArchiveIn &marchive)
 Method to allow de serialization of transient data from archives.
 
void StreamOUT (ChStreamOutAscii &mstream)
 Method to allow serializing transient data into in ascii as a readable item, for example "chrono::GetLog() << myobject;" ***OBSOLETE***.
 
void StreamOUTdenseMatlabFormat (ChStreamOutAscii &mstream)
 Method to allow serializing transient data into an ascii stream (ex. More...
 
void MatrNeg ()
 Changes the sign of all the elements of this matrix, in place.
 
template<class RealB , class RealC >
void MatrAdd (const ChMatrix< RealB > &matra, const ChMatrix< RealC > &matrb)
 Sum two matrices, and stores the result in "this" matrix: [this]=[A]+[B].
 
template<class RealB , class RealC >
void MatrSub (const ChMatrix< RealB > &matra, const ChMatrix< RealC > &matrb)
 Subtract two matrices, and stores the result in "this" matrix: [this]=[A]-[B].
 
template<class RealB >
void MatrInc (const ChMatrix< RealB > &matra)
 Increments this matrix with another matrix A, as: [this]+=[A].
 
template<class RealB >
void MatrDec (const ChMatrix< RealB > &matra)
 Decrements this matrix with another matrix A, as: [this]-=[A].
 
void MatrScale (Real factor)
 Scales a matrix, multiplying all elements by a constant value: [this]*=f.
 
template<class RealB >
void MatrScale (const ChMatrix< RealB > &matra)
 Scales a matrix, multiplying all element by all oter elements of matra (it is not the classical matrix multiplication!)
 
void MatrDivScale (Real factor)
 Scales a matrix, dividing all elements by a constant value: [this]/=f.
 
template<class RealB >
void MatrDivScale (const ChMatrix< RealB > &matra)
 Scales a matrix, dividing all element by all oter elements of matra (it is not the classical matrix multiplication!)
 
template<class RealB , class RealC >
void MatrMultiply (const ChMatrix< RealB > &matra, const ChMatrix< RealC > &matrb)
 Multiplies two matrices, and stores the result in "this" matrix: [this]=[A]*[B].
 
template<class RealB , class RealC >
void MatrMultiplyT (const ChMatrix< RealB > &matra, const ChMatrix< RealC > &matrb)
 Multiplies two matrices (the second is considered transposed): [this]=[A]*[B]' Faster than doing B.MatrTranspose(); result.MatrMultiply(A,B); Note: no check on mistaken size of this!
 
template<class RealB , class RealC >
void MatrTMultiply (const ChMatrix< RealB > &matra, const ChMatrix< RealC > &matrb)
 Multiplies two matrices (the first is considered transposed): [this]=[A]'*[B] Faster than doing A.MatrTranspose(); result.MatrMultiply(A,B);.
 
void MatrTranspose ()
 Transpose this matrix in place.
 
Real Det ()
 Returns the determinant of the matrix. More...
 
void MatrInverse ()
 Returns the inverse of the matrix. More...
 
bool Equals (const ChMatrix< Real > &other)
 Returns true if vector is identical to other matrix.
 
bool Equals (const ChMatrix< Real > &other, Real tol)
 Returns true if vector equals another vector, within a tolerance 'tol'.
 
template<class RealB >
ChVector< Real > Matr34_x_Quat (const ChQuaternion< RealB > &qua)
 Multiplies this 3x4 matrix by a quaternion, as v=[G]*q The matrix must be 3x4. More...
 
template<class RealB >
ChQuaternion< Real > Matr34T_x_Vect (const ChVector< RealB > &va)
 Multiplies this 3x4 matrix (transposed) by a vector, as q=[G]'*v The matrix must be 3x4. More...
 
template<class RealB >
ChQuaternion< Real > Matr44_x_Quat (const ChQuaternion< RealB > &qua)
 Multiplies this 4x4 matrix (transposed) by a quaternion, The matrix must be 4x4. More...
 
void MatrXq_SemiTranspose ()
 Transposes only the lower-right 3x3 submatrix of a hemisymmetric 4x4 matrix, used when the 4x4 matrix is a "star" matrix [q] coming from a quaternion q: the non commutative quat. More...
 
void MatrXq_SemiNeg ()
 Change the sign of the 2nd, 3rd and 4th columns of a 4x4 matrix, The product between a quaternion q1 and the conjugate of q2 (q2'), is: q1 x q2' = [q1]*q2' = [q1sn]*q2 where [q1sn] is the semi-negation of the 4x4 matrix [q1]. More...
 
Real NormInf ()
 Gets the norm infinite of the matrix, i.e. More...
 
Real NormTwo ()
 Gets the norm two of the matrix, i.e. More...
 
Real Max ()
 Finds max value among the values of the matrix.
 
Real Min ()
 Finds min value among the values of the matrix.
 
void LinInterpolate (const ChMatrix< Real > &matra, const ChMatrix< Real > &matrb, Real mx)
 Linear interpolation of two matrices. More...
 
void RowColInterp (Real vmin, Real vmax, Real umin, Real umax)
 Fills a matrix or a vector with a bilinear interpolation, from corner values (as a u-v patch). More...
 
template<class RealB >
void PasteMatrix (const ChMatrix< RealB > &matra, int insrow, int inscol)
 Paste a matrix "matra" into "this", inserting at location insrow-inscol. More...
 
template<class RealB >
void PasteSumMatrix (const ChMatrix< RealB > &matra, int insrow, int inscol)
 Paste a matrix "matra" into "this", inserting at location insrow-inscol and performing a sum with the preexisting values. More...
 
template<class RealB >
void PasteTranspMatrix (const ChMatrix< RealB > &matra, int insrow, int inscol)
 Paste a matrix "matra", transposed, into "this", inserting at location insrow-inscol. More...
 
template<class RealB >
void PasteSumTranspMatrix (const ChMatrix< RealB > &matra, int insrow, int inscol)
 Paste a matrix "matra", transposed, into "this", inserting at location insrow-inscol and performing a sum with the preexisting values. More...
 
template<class RealB >
void PasteClippedMatrix (const ChMatrix< RealB > &matra, int cliprow, int clipcol, int nrows, int ncolumns, int insrow, int inscol)
 Paste a clipped portion of the matrix "matra" into "this", inserting the clip (of size nrows, ncolumns) at the location insrow-inscol. More...
 
template<class RealB >
void PasteClippedMatrixToVector (const ChMatrix< RealB > &matra, int cliprow, int clipcol, int nrows, int ncolumns, int insindex)
 Paste a clipped portion of the matrix "matra" into "this", where "this" is a vector (of ChMatrix type), inserting the clip (of size nrows, ncolumns) at the location insindex. More...
 
template<class RealB >
void PasteClippedVectorToMatrix (const ChMatrix< RealB > &matra, int cliprow, int clipcol, int nrows, int ncolumns, int insindex)
 Paste a clipped portion of a vector into "this", where "this" is a matrix (of ChMatrix type), inserting the clip (of size nrows, ncolumns) at the location insindex. More...
 
template<class RealB >
void PasteSumClippedMatrix (const ChMatrix< RealB > &matra, int cliprow, int clipcol, int nrows, int ncolumns, int insrow, int inscol)
 Paste a clipped portion of the matrix "matra" into "this", performing a sum with preexisting values, inserting the clip (of size nrows, ncolumns) at the location insrow-inscol. More...
 
template<class RealB >
void PasteVector (const ChVector< RealB > &va, int insrow, int inscol)
 Paste a vector "va" into the matrix.
 
template<class RealB >
void PasteSumVector (const ChVector< RealB > &va, int insrow, int inscol)
 Paste a vector "va" into the matrix, summing it with preexisting values.
 
template<class RealB >
void PasteSubVector (const ChVector< RealB > &va, int insrow, int inscol)
 Paste a vector "va" into the matrix, subtracting it from preexisting values.
 
template<class RealB >
void PasteQuaternion (const ChQuaternion< RealB > &qa, int insrow, int inscol)
 Paste a quaternion into the matrix.
 
template<class RealB >
void PasteSumQuaternion (const ChQuaternion< RealB > &qa, int insrow, int inscol)
 Paste a quaternion into the matrix, summing it with preexisting values.
 
template<class RealB >
void PasteCoordsys (const ChCoordsys< RealB > &cs, int insrow, int inscol)
 Paste a coordsys into the matrix.
 
ChVector< Real > ClipVector (int insrow, int inscol) const
 Returns the vector clipped from insrow, inscol.
 
ChQuaternion< Real > ClipQuaternion (int insrow, int inscol) const
 Returns the quaternion clipped from insrow, inscol.
 
ChCoordsys< Real > ClipCoordsys (int insrow, int inscol) const
 Returns the coordsys clipped from insrow, inscol.
 
template<class RealB >
void Set_Xq_matrix (const ChQuaternion< RealB > &q)
 Fills a 4x4 matrix as the "star" matrix, representing quaternion cross product. More...
 

Additional Inherited Members

- Static Public Member Functions inherited from chrono::ChMatrix< Real >
template<class RealB , class RealC >
static Real MatrDot (const ChMatrix< RealB > &ma, const ChMatrix< RealC > &mb)
 Computes dot product between two column-matrices (vectors) with same size. More...
 
- Protected Attributes inherited from chrono::ChMatrixNM< Real, 6, 1 >
Real buffer [preall_rows *preall_columns]
 
- Protected Attributes inherited from chrono::ChMatrix< Real >
int rows
 
int columns
 
Real * address
 

Member Function Documentation

template<class Real = double>
double chrono::fea::ChVoightTensor< Real >::GetEquivalentVonMises ( ) const

FORMULAS THAT ARE USEFUL FOR YELD CRITERIONS:

Compute the Von Mises equivalent

template<class Real = double>
Real chrono::fea::ChVoightTensor< Real >::GetVolumetricPart ( ) const

Compute the volumetric part of the tensor, that is the trace V =Txx+Tyy+Tzz.

template<class Real = double>
void chrono::fea::ChVoightTensor< Real >::Rotate ( ChMatrix33< Real >  Rot)

Rotate to another reference coordinate system, overwriting this tensor in place.