Collection of methods and database related to peridynamic material. More...

#include <material.h>

Inheritance diagram for material::Material:

Collaboration diagram for material::Material:

Public Member Functions
	Material (std::string name="")
	Constructor.

virtual	~Material ()
	Destructor.

std::string	name ()
	Returns name of the material.

size_t	getDimension () const
	Returns dimension of the problem.

bool	isPlaneStrain () const
	Returns plane-strain condition.

virtual bool	isStateActive () const =0
	Returns true if state-based potential is active.

virtual std::pair< double, double >	getBondEF (const double &r, const double &s, bool &fs, const bool &break_bonds) const =0
	Returns energy and force between bond due to pairwise interaction.

virtual std::pair< double, double >	getBondEF (const double &r, const double &s, bool &fs, const double &mx, const double &thetax) const =0
	Returns energy and force between bond due to state-based model.

virtual util::Point	getBondForceDirection (const util::Point &dx, const util::Point &du) const =0
	Returns the unit vector along which bond-force acts.

virtual double	getS (const util::Point &dx, const util::Point &du) const =0
	Returns the bond strain.

virtual double	getSc (const double &r) const =0
	Returns critical bond strain.

virtual double	getBreakSc (const double &r) const
	Returns bond strain beyond which the bond is marked broken.

virtual double	getDilatationEnergyDensity (const double &thetax) const
	Returns the dilatational part of the strain energy density.

virtual double	getDensity () const =0
	Returns the density of the material.

virtual double	getInfFn (const double &r) const =0
	Returns the value of influence function.

virtual double	getMoment (const size_t &i) const =0
	Returns the moment of influence function.

virtual double	getHorizon () const =0
	Returns horizon.

virtual inp::MatData	computeMaterialProperties (const size_t &dim) const =0
	Computes elastic and fracture material properties and returns the data.

virtual std::string	printStr (int nt, int lvl) const
	Returns the string containing printable information about the object.

virtual void	print (int nt, int lvl) const
	Prints the information about the object.

virtual void	print () const
	Prints the information about the object.

Private Attributes
std::string	d_name
	Name of the material.

Detailed Description

Collection of methods and database related to peridynamic material.

At present we have implemented both bond-based and state-based model. We consider RNP regularized potential proposed and studied in Lipton 2016, Jha and Lipton 2018, Diehl et al 2018, Jha and Lipton 2019. We have also implemented PMB material model (Prototypical micro-elastic brittle material), see Silling 2000.

A class providing methods to compute energy density and force of peridynamic material

Definition at line 98 of file material.h.

Constructor & Destructor Documentation

◆ Material()

material::Material::Material ( std::string name = "" )

inlineexplicit

Constructor.

Parameters

name	Name of material model

Definition at line 105 of file material.h.

105: d_name(name) {}

material::Material::name

std::string name()

Returns name of the material.

Definition material.h:118

material::Material::d_name

std::string d_name

Name of the material.

Definition material.h:286

◆ ~Material()

virtual material::Material::~Material ( )

inlinevirtual

Destructor.

Make it virtual so that a derived object deletes through a base pointer.

Definition at line 112 of file material.h.

112{}

Member Function Documentation

◆ computeMaterialProperties()

virtual inp::MatData material::Material::computeMaterialProperties ( const size_t & dim ) const

pure virtual

Computes elastic and fracture material properties and returns the data.

Parameters

dim	Dimension of the problem

Returns: Data Material data

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getBondEF() [1/2]

virtual std::pair< double, double > material::Material::getBondEF	(	const double &	r,
		const double &	s,
		bool &	fs,
		const bool &	break_bonds
	)		const

pure virtual

Returns energy and force between bond due to pairwise interaction.

Parameters

r	Reference (initial) bond length
s	Bond strain
fs	Bond fracture state
break_bonds	Flag to specify whether bonds are allowed to break or not

Returns: value Pair of energy and force

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getBondEF() [2/2]

virtual std::pair< double, double > material::Material::getBondEF	(	const double &	r,
		const double &	s,
		bool &	fs,
		const double &	mx,
		const double &	thetax
	)		const

pure virtual

Returns energy and force between bond due to state-based model.

Parameters

r	Reference (initial) bond length
s	Bond strain
fs	Bond fracture state
mx	Weighted volume at node
thetax	Dilation

Returns: value Pair of energy and force

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getBondForceDirection()

virtual util::Point material::Material::getBondForceDirection	(	const util::Point &	dx,
		const util::Point &	du
	)		const

pure virtual

Returns the unit vector along which bond-force acts.

Parameters

dx	Reference bond vector
du	Difference of displacement

Returns: vector Unit vector

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getBreakSc()

virtual double material::Material::getBreakSc ( const double & r ) const

inlinevirtual

Returns bond strain beyond which the bond is marked broken.

Parameters

r	Reference length of bond

Returns: strain Breaking strain (critical strain unless a model says otherwise)

Reimplemented in material::RnpMaterial.

Definition at line 197 of file material.h.

197{ return getSc(r); }

material::Material::getSc

virtual double getSc(const double &r) const =0

Returns critical bond strain.

References getSc().

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◆ getDensity()

virtual double material::Material::getDensity ( ) const

pure virtual

Returns the density of the material.

Returns: density Density of the material

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getDilatationEnergyDensity()

virtual double material::Material::getDilatationEnergyDensity ( const double & thetax ) const

inlinevirtual

Returns the dilatational part of the strain energy density.

Nonzero only for state-based models.

Parameters

thetax Dilatation at node

Returns: energy Energy density

Reimplemented in material::PdState.

Definition at line 207 of file material.h.

                                                                        {
    return 0.;
  }

◆ getDimension()

size_t material::Material::getDimension ( ) const

inline

Returns dimension of the problem.

Returns: dim Dimension

Definition at line 124 of file material.h.

124{ return dimension; }

anonymous_namespace{material.h}::dimension

size_t dimension

Dimension of the domain.

Definition material.h:28

◆ getHorizon()

virtual double material::Material::getHorizon ( ) const

pure virtual

Returns horizon.

Returns: horizon Horizon

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getInfFn()

virtual double material::Material::getInfFn ( const double & r ) const

pure virtual

Returns the value of influence function.

Parameters

r	Reference (initial) bond length

Returns: value Influence function at r

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getMoment()

virtual double material::Material::getMoment ( const size_t & i ) const

pure virtual

Returns the moment of influence function.

If \( J(r) \) is the influence function for \( r\in [0,1)\) then \( i^{th}\) moment is given by

\[ M_i = \int_0^1 J(r) r^i dr. \]

Parameters

i	ith moment

Returns: value Moment

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getS()

virtual double material::Material::getS	(	const util::Point &	dx,
		const util::Point &	du
	)		const

pure virtual

Returns the bond strain.

Parameters

dx	Reference bond vector
du	Difference of displacement

Returns: strain Bond strain \( S = \frac{du \cdot dx}{|dx|^2} \)

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ getSc()

virtual double material::Material::getSc ( const double & r ) const

pure virtual

Returns critical bond strain.

Parameters

r	Reference length of bond

Returns: strain Critical strain

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

Referenced by getBreakSc().

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◆ isPlaneStrain()

bool material::Material::isPlaneStrain ( ) const

inline

Returns plane-strain condition.

Returns: bool True if plane-strain active

Definition at line 130 of file material.h.

130{ return is_plane_strain; }

anonymous_namespace{material.h}::is_plane_strain

bool is_plane_strain

Is plane-stress condition active.

Definition material.h:31

◆ isStateActive()

virtual bool material::Material::isStateActive ( ) const

pure virtual

Returns true if state-based potential is active.

Returns: bool True/false

Implemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

◆ name()

std::string material::Material::name ( )

inline

Returns name of the material.

Returns: string Name

Definition at line 118 of file material.h.

118{ return d_name; }

References d_name.

◆ print() [1/2]

virtual void material::Material::print ( ) const

inlinevirtual

Prints the information about the object.

Reimplemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

Definition at line 282 of file material.h.

282{ print(0, 0); }

material::Material::print

virtual void print() const

Prints the information about the object.

Definition material.h:282

References print().

Referenced by print().

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◆ print() [2/2]

virtual void material::Material::print	(	int	nt,
		int	lvl
	)		const

inlinevirtual

Prints the information about the object.

Parameters

nt	Number of tabs to append before printing
lvl	Information level (higher means more information)

Reimplemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

Definition at line 279 of file material.h.

279{ std::cout << printStr(nt, lvl); }

material::Material::printStr

virtual std::string printStr(int nt, int lvl) const

Returns the string containing printable information about the object.

Definition material.h:259

References printStr().

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◆ printStr()

virtual std::string material::Material::printStr	(	int	nt,
		int	lvl
	)		const

inlinevirtual

Returns the string containing printable information about the object.

Parameters

nt	Number of tabs to append before printing
lvl	Information level (higher means more information)

Returns: string String containing printable information about the object

Reimplemented in material::RnpMaterial, material::PmbMaterial, material::PdElastic, and material::PdState.

Definition at line 259 of file material.h.

                                                    {
 
    auto tabS = util::io::getTabS(nt);
    std::ostringstream oss;
    oss << tabS << "------- particle::Material --------" << std::endl
        << std::endl;
    oss << tabS << "Abstract class of peridynamic materials" << std::endl;
    oss << tabS << "See RnpMaterial and PmbMaterial for implementation"
        << std::endl;
    oss << tabS << std::endl;
 
    return oss.str();
  }

References util::io::getTabS().

Referenced by print().

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Field Documentation

◆ d_name

std::string material::Material::d_name

private

Name of the material.

Definition at line 286 of file material.h.

Referenced by name().

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

/home/user/project/src/material/mparticle/material.h

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ Material()

◆ ~Material()

Member Function Documentation

◆ computeMaterialProperties()

◆ getBondEF() [1/2]

◆ getBondEF() [2/2]

◆ getBondForceDirection()

◆ getBreakSc()

◆ getDensity()

◆ getDilatationEnergyDensity()

◆ getDimension()

◆ getHorizon()

◆ getInfFn()

◆ getMoment()

◆ getS()

◆ getSc()

◆ isPlaneStrain()

◆ isStateActive()

◆ name()

◆ print() [1/2]

◆ print() [2/2]

◆ printStr()

Field Documentation

◆ d_name