Class ComputeVertexBendingEnergy#

Inheritance Relationships#

Base Type#

Class Documentation#

class ComputeVertexBendingEnergy : public ComputeForceClass

ComputeVertexBendingEnergy Compute the Seung-Nelson Bending Energy/Force.

Public Functions

inline ComputeVertexBendingEnergy(SystemClass &system)
inline ~ComputeVertexBendingEnergy()
inline virtual void set_default_properties(void) override

Set property.

inline virtual void set_property(std::map<std::string, std::map<std::string, std::string>> &region_map) override
inline virtual std::map<std::string, std::string> get_info(void) override

Get the type object.

Returns:

std::string

virtual void compute_energy(void) override

Use normals that belong to the two traingles that share a vertex and calculate bengind energy as \( E_{bend} = \frac 1 2 k_b \left( \hat{n}_i- \hat{n}_j \right)^2 r \), where \( k_b \) is the bending rigidity, \( r \) is edge length, and \( \hat{n}_i, \hat{n}_j \) are the normal unit vectors of the triangles meeting at the edge. the method used here is the Seung and Nelson bending energy, Seung, H. S. & Nelson, D. R. Defects in flexible membranes with crystalline order. Phys. Rev. A 38, 1005–1018 (1988).

Parameters:

vertex – id

Returns:

the bending energy at vertex

virtual void compute(void) override

compute force for the actual configuration

Parameters:

void –

Returns:

void

virtual real compute_edge_energy(int) override

compute the energy in a given edge

Parameters:

edge –

Returns:

real

virtual real compute_vertex_energy(int) override

compute the energy in a vertex edge

Parameters:

face –

Returns:

real

virtual void compute_stress(void) override

compute force for the actual configuration

Parameters:

void –

Returns:

void

virtual void compute_atomic_stress(void) override

compute force for the actual configuration

Parameters:

void –

Returns:

void

inline void set_property(std::map<std::string, std::map<std::pair<std::string, std::string>, std::string>> &region_map)
inline void set_property(std::map<std::string, std::map<std::string, std::string>> &region_map)
inline void set_property(std::map<std::string, std::string> &region_map)