Phyth::Mechanics::VolumeForce Class Reference

Uniform body force distributed over a rectangular box. More...

#include <VolumeForce.hpp>

Inheritance diagram for Phyth::Mechanics::VolumeForce:

Collaboration diagram for Phyth::Mechanics::VolumeForce:

Public Member Functions
	VolumeForce (const Vector3< Quantity< Meter > > &center, const Quantity< Meter > width, const Quantity< Meter > height, const Quantity< Meter > depth, const Vector3< Quantity< NewtonPerMeterCubed > > &force_density, const IsotropicMaterial &material) noexcept
	Construct a rectangular volume force.
Matrix3x3< Quantity< Pascal > >	GetStressAt (const Vector3< Quantity< Meter > > &point) const override
	Compute stress tensor at a point using numerical integration.
Vector3< Quantity< Newton > >	GetForceAt (const Vector3< Quantity< Meter > > &point) const override
	Get the force vector at a point.
Vector3< Quantity< Newton > >	GetTotalForce () const override
	Get the total force of this source.
Vector3< Quantity< NewtonPerMeterCubed > >	GetBodyForceDensityAt (const Vector3< Quantity< Meter > > &point) const override
	Get the body force density at a point.
Quantity< Meter >	GetMinimumDistanceTo (const Vector3< Quantity< Meter > > &point) const override
	Get the minimum distance from a point to the rectangular volume.
Vector3< Quantity< NewtonPerMeterCubed > >	GetForceDensity () const
	Get the force density vector.
void	SetForceDensity (const Vector3< Quantity< NewtonPerMeterCubed > > &force_density)
	Set the force density vector.
Public Member Functions inherited from Phyth::Mechanics::ForceSource
virtual	~ForceSource ()=default

Private Member Functions
Matrix3x3< Quantity< Pascal > >	NumericalIntegrateStress (const Vector3< Quantity< Meter > > &point, const int nx, const int ny, const int nz) const
	Numerical integration of stress over the volume.

Private Attributes
Vector3< Quantity< Meter > >	center_
Quantity< Meter >	width_
Quantity< Meter >	height_
Quantity< Meter >	depth_
Vector3< Quantity< NewtonPerMeterCubed > >	force_density_
IsotropicMaterial	material_

Detailed Description

Uniform body force distributed over a rectangular box.

VolumeForce represents a body force density acting throughout a rectangular volume. The stress field is computed by numerical integration using the midpoint rule with configurable resolution.

Example:

auto center = Vector3<Quantity<Meter>>(0_m, 0_m, 0_m);
auto force_density = Vector3<Quantity<NewtonPerMeterCubed>>(0, 0, -2700*9.81);
VolumeForce volume(center, 1.0_m, 1.0_m, 1.0_m, force_density, material);
auto stress = volume.GetStressAt(point);

Definition at line 24 of file VolumeForce.hpp.

Constructor & Destructor Documentation

VolumeForce()

Phyth::Mechanics::VolumeForce::VolumeForce ( const Vector3< Quantity< Meter > > &  center, const Quantity< Meter >  width, const Quantity< Meter >  height, const Quantity< Meter >  depth, const Vector3< Quantity< NewtonPerMeterCubed > > &  force_density, const IsotropicMaterial &  material  )

inlineexplicitnoexcept

Construct a rectangular volume force.

Parameters

center	Center of the box
width	Extent along x
height	Extent along y
depth	Extent along z
force_density	Uniform body force density
material	Material properties

Definition at line 36 of file VolumeForce.hpp.

Member Function Documentation

GetBodyForceDensityAt()

Vector3< Quantity< NewtonPerMeterCubed > > Phyth::Mechanics::VolumeForce::GetBodyForceDensityAt ( const Vector3< Quantity< Meter > > &  point ) const

inlineoverridevirtual

Get the body force density at a point.

Parameters

point

Position to evaluate

Returns

Body force density at that point

Reimplemented from Phyth::Mechanics::ForceSource.

Definition at line 90 of file VolumeForce.hpp.

GetForceAt()

Vector3< Quantity< Newton > > Phyth::Mechanics::VolumeForce::GetForceAt ( const Vector3< Quantity< Meter > > &  point ) const

inlineoverridevirtual

Get the force vector at a point.

Volume force is distributed, so returns zero at any single point.

Implements Phyth::Mechanics::ForceSource.

Definition at line 69 of file VolumeForce.hpp.

GetForceDensity()

Vector3< Quantity< NewtonPerMeterCubed > > Phyth::Mechanics::VolumeForce::GetForceDensity ( ) const

inline

Get the force density vector.

Definition at line 130 of file VolumeForce.hpp.

GetMinimumDistanceTo()

Quantity< Meter > Phyth::Mechanics::VolumeForce::GetMinimumDistanceTo ( const Vector3< Quantity< Meter > > &  point ) const

inlineoverridevirtual

Get the minimum distance from a point to the rectangular volume.

Parameters

point

Position to compute distance from

Returns

Distance to the closest point in the volume

Implements Phyth::Mechanics::ForceSource.

Definition at line 111 of file VolumeForce.hpp.

GetStressAt()

Matrix3x3< Quantity< Pascal > > Phyth::Mechanics::VolumeForce::GetStressAt ( const Vector3< Quantity< Meter > > &  point ) const

inlineoverridevirtual

Compute stress tensor at a point using numerical integration.

Parameters

point

Position to evaluate

Returns

Stress tensor in pascals

Implements Phyth::Mechanics::ForceSource.

Definition at line 58 of file VolumeForce.hpp.

GetTotalForce()

Vector3< Quantity< Newton > > Phyth::Mechanics::VolumeForce::GetTotalForce ( ) const

inlineoverridevirtual

Get the total force of this source.

Returns

force_density * volume (Newtons)

Implements Phyth::Mechanics::ForceSource.

Definition at line 80 of file VolumeForce.hpp.

NumericalIntegrateStress()

Matrix3x3< Quantity< Pascal > > Phyth::Mechanics::VolumeForce::NumericalIntegrateStress ( const Vector3< Quantity< Meter > > &  point, const int  nx, const int  ny, const int  nz  ) const

inlineprivate

Numerical integration of stress over the volume.

Uses the midpoint rule with nx * ny * nz segments. Each voxel contributes dsigma = Kelvin(dF) where dF = force_density * dV.

Definition at line 153 of file VolumeForce.hpp.

SetForceDensity()

void Phyth::Mechanics::VolumeForce::SetForceDensity ( const Vector3< Quantity< NewtonPerMeterCubed > > &  force_density )

inline

Set the force density vector.

Definition at line 137 of file VolumeForce.hpp.

Member Data Documentation

center_

Vector3<Quantity<Meter> > Phyth::Mechanics::VolumeForce::center_

private

Definition at line 142 of file VolumeForce.hpp.

depth_

Quantity<Meter> Phyth::Mechanics::VolumeForce::depth_

private

Definition at line 143 of file VolumeForce.hpp.

force_density_

Vector3<Quantity<NewtonPerMeterCubed> > Phyth::Mechanics::VolumeForce::force_density_

private

Definition at line 144 of file VolumeForce.hpp.

height_

Quantity<Meter> Phyth::Mechanics::VolumeForce::height_

private

Definition at line 143 of file VolumeForce.hpp.

material_

IsotropicMaterial Phyth::Mechanics::VolumeForce::material_

private

Definition at line 145 of file VolumeForce.hpp.

width_

Quantity<Meter> Phyth::Mechanics::VolumeForce::width_

private

Definition at line 143 of file VolumeForce.hpp.

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

• include/Phyth/Elements/Mechanics/ForceSources/VolumeForce.hpp