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XC::Cosseratstresstensor Class Reference

Stress tensor of a Cosserat material. More...

#include <Cosseratstresst.h>

Inheritance diagram for XC::Cosseratstresstensor:
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Collaboration diagram for XC::Cosseratstresstensor:
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Public Member Functions

 Cosseratstresstensor (double initval=0.0)
 
 Cosseratstresstensor (double *values)
 Constructor.
 
 Cosseratstresstensor (const std::vector< double > &)
 Constructor.
 
 Cosseratstresstensor (const boost::python::list &)
 Constructor.
 
 Cosseratstresstensor (const Cosseratstresstensor &x)
 Copy constructor.
 
 Cosseratstresstensor (const BJtensor &x)
 Copy constructor.
 
 Cosseratstresstensor (const nDarray &x)
 Copy constructor.
 
Cosseratstresstensor operator= (const Cosseratstresstensor &rval)
 
Cosseratstresstensor operator= (const BJtensor &rval)
 
double Iinvariant1 () const
 
double Iinvariant2 () const
 
double Iinvariant3 () const
 
double Jinvariant1 () const
 
double Jinvariant2 () const
 
double Jinvariant3 () const
 
Cosseratstresstensor deviator () const
 
Cosseratstresstensor principal () const
 
double sigma_octahedral () const
 
double tau_octahedral () const
 
double ksi () const
 
double xi () const
 
double ro () const
 
double rho () const
 
double theta () const
 
double thetaPI () const
 
double p_hydrostatic () const
 
double q_deviatoric () const
 
BJtensor dpoverds (void) const
 
BJtensor dqoverds (void) const
 
BJtensor dthetaoverds (void) const
 
BJtensor d2poverds2 (void) const
 ......................................................................... More...
 
BJtensor d2qoverds2 (void) const
 
BJtensor d2thetaoverds2 (void) const
 
Cosseratstresstensor pqtheta2stress (double, double, double)
 
void report (const std::string &) const
 
void reportshort (const std::string &) const
 
void reportshortpqtheta (const std::string &) const
 
void reportSHORTpqtheta (const std::string &) const
 
void reportSHORTs1s2s3 (const std::string &) const
 
void reportKLOTpqtheta (const std::string &) const
 
void reportshortI1J2J3 (const std::string &) const
 
void reportAnim (void) const
 
void reportTensor (const std::string &) const
 
- Public Member Functions inherited from XC::BJtensor
 BJtensor (int rank_of_BJtensor=1, const double &initval=0)
 Default constructor. More...
 
 BJtensor (const std::vector< int > &pdim, const double *values)
 Constructor.
 
 BJtensor (const std::vector< int > &pdim, const std::vector< double > &values)
 Constructor.
 
 BJtensor (const std::vector< int > &pdim, const boost::python::list &l)
 Constructor.
 
 BJtensor (const boost::python::list &, const boost::python::list &)
 Constructor.
 
 BJtensor (const std::vector< int > &pdim, const double &initvalue)
 Constructor.
 
 BJtensor (const std::string &flag, const std::vector< int > &pdim)
 Constructor.
 
 BJtensor (const std::string &flag)
 Constructor.
 
 BJtensor (const BJtensor &x)
 
 BJtensor (const nDarray &x)
 
BJtensoroperator= (const BJtensor &rval)
 
BJtensoroperator+= (const BJtensor &rval)
 Addition.
 
BJtensoroperator-= (const BJtensor &rval)
 Subtraction.
 
BJtensoroperator*= (const double &rval)
 Scalar multiplication. Optimized by Zhao Oct2005.
 
BJtensor operator* (const double &rval) const
 
BJtensor operator* (const BJtensor &rval) const
 
BJtensor operator/ (const BJtensor &rval) const
 
BJtensor transpose0110 () const
 
BJtensor transposeoverbar () const
 
BJtensor transpose0101 () const
 
BJtensor transpose0111 () const
 
BJtensor transposeunderbar () const
 
BJtensor transpose1100 () const
 
BJtensor transpose0011 () const
 
BJtensor transpose1001 () const
 
BJtensor transpose11 () const
 
BJtensor symmetrize11 () const
 
double determinant (void) const
 
BJmatrix BJtensor2BJmatrix_1 (void) const
 
BJmatrix BJtensor2BJmatrix_2 (void) const
 
BJmatrix BJtensor2BJmatrix_3 (void) const
 
BJtensor inverse (void) const
 
BJtensor inverse_2 (void) const
 
const double & operator() (int first) const
 
double & operator() (int first)
 
const double & operator() (int first, int second) const
 
double & operator() (int first, int second)
 
const double & operator() (int first, int second, int third) const
 
double & operator() (int first, int second, int third)
 
const double & operator() (int first, int second, int third, int fourth) const
 
double & operator() (int first, int second, int third, int fourth)
 
const BJtensoroperator() (const std::string &) const
 This is supposed to fill in the string indices1 or the string indices2 strings in BJtensor object so that they can be checked for matching later on when operations like single contraction (.), double contraction (:), dyadic product (otimes) are performed the object can choose the right operator. More...
 
void null_indices (void) const
 
const std::string & f_indices1 (void) const
 
const std::string & f_indices2 (void) const
 
- Public Member Functions inherited from XC::nDarray
 nDarray (int rank_of_nDarray=1, const double &initval=0.0)
 Constructor.
 
 nDarray (const std::vector< int > &pdim, const double *values)
 Constructor.
 
 nDarray (const std::vector< int > &pdim, const std::vector< double > &)
 Constructor.
 
 nDarray (const std::vector< int > &pdim, const boost::python::list &)
 Constructor.
 
 nDarray (const boost::python::list &, const boost::python::list &)
 Constructor.
 
 nDarray (const std::vector< int > &pdim, double initvalue)
 
 nDarray (int rows, int cols, double *values)
 Constructor. Special case for BJmatrix and BJvector.
 
 nDarray (int rows, int cols, const std::vector< double > &values)
 Constructor. Special case for BJmatrix and BJvector.
 
 nDarray (int rows, int cols, const boost::python::list &)
 Constructor. Special case for BJmatrix and BJvector.
 
 nDarray (int rows, int cols, double initvalue)
 
 nDarray (const std::string &)
 
 nDarray (const std::string &flag, const std::vector< int > &pdim)
 create a unit XC::nDarray
 
void Initialize (const nDarray &from)
 
void Initialize_all (const nDarray &from)
 
void Reset_to (const double &value)
 Reset data to "value".
 
const double & operator() (int first) const
 
double & operator() (int first)
 
const double & operator() (int first, int second) const
 
double & operator() (int first, int second)
 
const double & operator() (int first, int second, int third) const
 
double & operator() (int first, int second, int third)
 
const double & operator() (int first, int second, int third, int fourth) const
 
double & operator() (int first, int second, int third, int fourth)
 
const double & val (int subscript,...) const
 
double & val (int subscript,...)
 
const double & val4 (int first, int second, int third, int fourth) const
 
double & val4 (int first, int second, int third, int fourth)
 
const double & cval (int subscript,...) const
 
nDarrayoperator+= (const nDarray &)
 nDarray addition
 
nDarrayoperator-= (const nDarray &)
 
nDarray operator+ (const double &rval)
 scalar addition
 
nDarray operator- (const double &rval)
 scalar subtraction
 
nDarrayoperator*= (const double &rval)
 scalar multiplication
 
nDarray operator* (const double &rval) const
 scalar multiplication
 
nDarray operator- ()
 unary minus
 
double sum (void) const
 
double trace (void) const
 
bool operator== (const nDarray &rval) const
 nDarray comparison returns true if they are equal.
 
nDarray eigenvalues (void)
 
nDarray eigenvectors (void)
 
double Frobenius_norm (void)
 
double General_norm (double p)
 
int rank (void) const
 
int dim (int which) const
 
void output (std::ostream &os) const
 Write this object to the argument stream.
 
void outputshort (std::ostream &os) const
 nDarray print function
 
void print (const std::string &name="t", const std::string &msg="Hi there#", std::ostream &os=std::cout) const
 nDarray print function
 
void printshort (std::ostream &os, const std::string &msg="Hi there#") const
 nDarray print function
 
void mathprint (std::ostream &os) const
 nDarray print function for mathematica
 
std::string toString (void) const
 

Friends

class Material_Model
 
std::ostream & operator<< (std::ostream &, const Cosseratstresstensor &)
 
double zbrentstress (Cosseratstresstensor &start_stress, Cosseratstresstensor &end_stress, Material_Model &YC, double x1, double x2, double tol)
 

Additional Inherited Members

- Public Attributes inherited from XC::BJtensor
std::string indices1
 character array of indices
 
std::string indices2
 
- Protected Member Functions inherited from XC::nDarray
const double * data (void) const
 
void set_dim (const std::vector< int > &)
 
const std::vector< int > & dim (void) const
 
void rank (int)
 
- Protected Attributes inherited from XC::nDarray
nDarray_rep pc_nDarray_rep
 

Detailed Description

Stress tensor of a Cosserat material.

The Cosserat continuum provides a relevant description of the mechanical behavior of materials with microstructur like rocks and granular media, liquid crystals, cellular solids and composites and others.

Member Function Documentation

◆ d2poverds2()

XC::BJtensor XC::Cosseratstresstensor::d2poverds2 ( void  ) const

.........................................................................

BJtensor d2poverds2(def_dim_4, 0.0); //second derivative of p over // d sigma_pq d sigma_mn d2poverds2 = 0.0; //IDENTICALLY EQUAL TO ZERO ..........................................................................

!!!! this one is equivalent to zero at all times so no need to call it !!!


The documentation for this class was generated from the following files: