Phyth::Mechanics::PointForce Class Reference

Concentrated force acting at a single point in an elastic medium. More...

#include <PointForce.hpp>

Inheritance diagram for Phyth::Mechanics::PointForce:

Collaboration diagram for Phyth::Mechanics::PointForce:

Public Member Functions
	PointForce (const Vector3< Quantity< Meter > > &position, const Vector3< Quantity< Newton > > &force, const IsotropicMaterial &material) noexcept
	Construct a point force.
Matrix3x3< Quantity< Pascal > >	GetStressAt (const Vector3< Quantity< Meter > > &point) const override
	Compute stress tensor at a point.
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.
Quantity< Meter >	GetMinimumDistanceTo (const Vector3< Quantity< Meter > > &point) const override
	Get the minimum distance from a point to the force location.
Vector3< Quantity< Meter > >	GetPosition () const
	Get the force location.
Vector3< Quantity< Newton > >	GetForce () const
	Get the force vector.
Public Member Functions inherited from Phyth::Mechanics::ForceSource
virtual	~ForceSource ()=default
virtual Vector3< Quantity< NewtonPerMeterCubed > >	GetBodyForceDensityAt (const Vector3< Quantity< Meter > > &point) const
	Get the body force density at a point.

Private Attributes
Vector3< Quantity< Meter > >	position_
Vector3< Quantity< Newton > >	force_
IsotropicMaterial	material_

Detailed Description

Concentrated force acting at a single point in an elastic medium.

Produces a stress field via Kelvin's solution (Green's function for an infinite elastic medium).

Formula: sigma_ij(vec_r) = - (1 / (8 * pi * (1 - nu))) * [ (1 - 2*nu) * (vec_F_i * vec_r_j + vec_F_j * vec_r_i - delta_ij * (vec_F dot vec_r)) / r^3

• 3 * (vec_F dot vec_r) * vec_r_i * vec_r_j / r^5 ]

Example:

auto force = std::make_shared<PointForce>(
    origin,
    force,
    material
);
elastic_field.AddSource(force);

Definition at line 31 of file PointForce.hpp.

Constructor & Destructor Documentation

PointForce()

Phyth::Mechanics::PointForce::PointForce ( const Vector3< Quantity< Meter > > &  position, const Vector3< Quantity< Newton > > &  force, const IsotropicMaterial &  material  )

inlineexplicitnoexcept

Construct a point force.

Parameters

position	Location of the point force
force	Force vector
material	Material properties (uses Poisson's ratio only)

Definition at line 40 of file PointForce.hpp.

Member Function Documentation

GetForce()

Vector3< Quantity< Newton > > Phyth::Mechanics::PointForce::GetForce ( ) const

inline

Get the force vector.

Returns

Force vector.

Definition at line 156 of file PointForce.hpp.

GetForceAt()

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

inlineoverridevirtual

Get the force vector at a point.

Returns the force only at the exact force location, otherwise zero.

Parameters

point

Position to evaluate.

Returns

Force vector at that point.

Implements Phyth::Mechanics::ForceSource.

Definition at line 112 of file PointForce.hpp.

GetMinimumDistanceTo()

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

inlineoverridevirtual

Get the minimum distance from a point to the force location.

Parameters

point

Position to compute distance from.

Returns

Distance to the force location.

Implements Phyth::Mechanics::ForceSource.

Definition at line 136 of file PointForce.hpp.

GetPosition()

Vector3< Quantity< Meter > > Phyth::Mechanics::PointForce::GetPosition ( ) const

inline

Get the force location.

Returns

Position of the point force.

Definition at line 147 of file PointForce.hpp.

GetStressAt()

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

inlineoverridevirtual

Compute stress tensor at a point.

Parameters

point

Position to evaluate

Returns

Stress tensor in pascals

Exceptions

std::runtime_error

If point is at the force location

Note

Sign convention: tension positive (positive stress = tensile).

If you prefer "compression positive", multiply the result by -1.

Implements Phyth::Mechanics::ForceSource.

Definition at line 56 of file PointForce.hpp.

GetTotalForce()

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

inlineoverridevirtual

Get the total force of this source.

Returns

Total force vector.

Implements Phyth::Mechanics::ForceSource.

Definition at line 126 of file PointForce.hpp.

Member Data Documentation

force_

Vector3<Quantity<Newton> > Phyth::Mechanics::PointForce::force_

private

Definition at line 162 of file PointForce.hpp.

material_

IsotropicMaterial Phyth::Mechanics::PointForce::material_

private

Definition at line 163 of file PointForce.hpp.

position_

Vector3<Quantity<Meter> > Phyth::Mechanics::PointForce::position_

private

Definition at line 161 of file PointForce.hpp.

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

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