FEM - Functions

check_symmetry(prop::Dict, dof::Int64)

Check if the symmetry information is present in the material dictionary.

Arguments

• prop::Dict: A dictionary containing material information.
• dof::Int64: The number of degrees of freedom.

Returns

• true: If the symmetry information is present.

distribute_forces!(nodes::AbstractVector{Int64}, nlist::Vector{Vector{Int64}}, nlist_filtered_ids::Vector{Vector{Int64}}, bond_force::Vector{Matrix{Float64}}, volume::Vector{Float64}, bond_damage::Vector{Vector{Float64}}, displacements::Matrix{Float64}, bond_norm::Vector{Matrix{Float64}}, force_densities::Matrix{Float64})

Distribute the forces on the nodes

Arguments

• nodes::AbstractVector{Int64}: The nodes.
• nlist::Vector{Vector{Int64}}: The neighbor list.
• nlist_filtered_ids::Vector{Vector{Int64}},: The filtered neighbor list.
• bond_force::Vector{Matrix{Float64}}: The bond forces.
• volume::Vector{Float64}: The volumes.
• bond_damage::Vector{Vector{Float64}}: The bond damage.
• displacements::Matrix{Float64}: The displacements.
• bond_norm::Vector{Matrix{Float64}}: The pre defined bond normal.
• force_densities::Matrix{Float64}: The force densities.

Returns

• force_densities::Matrix{Float64}: The force densities.

distribute_forces!(nodes::AbstractVector{Int64}, nlist::Vector{Vector{Int64}}, bond_force::Vector{Matrix{Float64}}, volume::Vector{Float64}, bond_damage::Vector{Vector{Float64}}, force_densities::Matrix{Float64})

Distribute the forces on the nodes

Arguments

• nodes::AbstractVector{Int64}: The nodes.
• nlist::Vector{Vector{Int64}}: The neighbor list.
• bond_force::Vector{Matrix{Float64}}: The bond forces.
• volume::Vector{Float64}: The volumes.
• bond_damage::Vector{Vector{Float64}}: The bond damage.
• force_densities::Matrix{Float64}: The force densities.

Returns

• force_densities::Matrix{Float64}: The force densities.

flaw_function(params::Dict, coor::Union{Vector{Int64},Vector{Float64}}, stress::Float64)

Allows the modification of the yield stress at a specific position. This is typically used as starting point for plastic deformation.

Arguments

• params::Dict: A dictionary containing material information.
• coor::Union{Vector{Int64},Vector{Float64}, SubArray}: Coordinate of the current point.
• stress::Float64: stresses to be modified.

Returns

• stress::Float64: the modified stresses.

get_Hooke_matrix(parameter::Dict, symmetry::String, dof::Int64, ID::Int64=1)

Returns the Hooke matrix of the material.

Arguments

• parameter::Union{Dict{Any,Any},Dict{String,Any}}: The material parameter.
• symmetry::String: The symmetry of the material.
• dof::Int64: The degree of freedom.
• ID::Int64=1: ID of the point. Needed for point wise defined material properties.

Returns

• matrix::Matrix{Float64}: The Hooke matrix.

get_all_elastic_moduli(parameter::Union{Dict{Any,Any},Dict{String,Any}})

Returns the elastic moduli of the material.

Arguments

• parameter::Union{Dict{Any,Any},Dict{String,Any}}: The material parameter.

get_strain(stress_NP1::Matrix{Float64}, hooke_matrix::Matrix{Float64})

Arguments

• stress_NP1::Matrix{Float64}: Stress.
• hooke_matrix::Matrix{Float64}: Hooke matrix

returns

• strain::Matrix{Float64}: Strain

get_symmetry(material::Dict)

Return the symmetry information from the given material dictionary.

Arguments

• material::Dict: A dictionary containing material information.

Returns

• If the key "Symmetry" is present in the dictionary, the corresponding value is returned.
• If the key is not present, the default value "3D" is returned.

Example

```julia materialdict = Dict("Symmetry" => "Cubic", "Color" => "Red") symmetry = getsym(material_dict)