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JuliaFEM.jl/src/dirichlet.jl
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Julia

# This file is a part of JuliaFEM.
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md
""" Here formulation is :total or :incremental meaning that we either give
constraint for total quantity u or it's increment Δu. For elasticity we are
using incremental formulation.
"""
type Dirichlet <: BoundaryProblem
formulation :: Symbol
dual_basis :: Bool
end
function Dirichlet()
Dirichlet(:total, true)
end
function get_unknown_field_name(::Type{Dirichlet})
return "reaction force"
end
function get_formulation_type(problem::Problem{Dirichlet})
return problem.properties.formulation
end
function assemble!(assembly::Assembly, problem::Problem{Dirichlet}, element::Element, time::Real)
@assert problem.properties.dual_basis
# get dimension and name of PARENT field
field_dim = get_unknown_field_dimension(problem)
field_name = get_parent_field_name(problem)
gdofs = get_gdofs(element, field_dim)
De, Me, Ae = get_dualbasis(element, time)
# left hand side
for i=1:field_dim
ldofs = gdofs[i:field_dim:end]
if haskey(element, field_name*" $i")
add!(assembly.C1, ldofs, ldofs, De)
add!(assembly.C2, ldofs, ldofs, De)
end
end
# right hand side
for ip in get_integration_points(element, Val{3})
w = ip.weight
J = get_jacobian(element, ip, time)
JT = transpose(J)
if size(JT, 2) == 1 # plane problem
w *= norm(JT)
else
w *= norm(cross(JT[:,1], JT[:,2]))
end
N = element(ip, time)
Phi = (Ae*N')'
g_prev = element(field_name, ip, time)
#info("g_prev = $g_prev")
for i=1:field_dim
ldofs = gdofs[i:field_dim:end]
if haskey(element, field_name*" $i")
g = element(field_name*" $i", ip, time)
if get_formulation_type(problem) == :incremental
g = g - g_prev[i]
end
#info("g_new = $g")
add!(assembly.g, ldofs, w*g*Phi')
end
end
end
end
#=
function assemble!(assembly::Assembly, problem::Problem{DirichletProblem}, element::Element, time::Real)
# get dimension and name of PARENT field
field_dim = problem.parent_field_dim
field_name = problem.parent_field_name
gdofs = get_gdofs(element, field_dim)
for ip in get_integration_points(element, Val{2})
w = ip.weight
J = get_jacobian(element, ip, time)
JT = transpose(J)
if size(JT, 2) == 1 # plane problem
w *= norm(JT)
else
w *= norm(cross(JT[:,1], JT[:,2]))
end
N = element(ip, time)
A = w*N'*N
if haskey(element, field_name)
# add all dimensions at once if defined
# element["blaa"] = 0.0
# or
# element["blaa"] = Vector{Float64}[[0.1, 0.2], [0.3, 0.4]]
g = element(field_name, ip, time)
if length(g) != length(N)
g = g*ones(length(N))
end
for i=1:field_dim
ldofs = gdofs[i:field_dim:end]
add!(assembly.C1, ldofs, ldofs, A)
add!(assembly.C2, ldofs, ldofs, A)
end
add!(assembly.g, gdofs, w*g*N)
end
for i=1:field_dim
if haskey(element, field_name*" $i")
g = element(field_name*" $i", ip, time)
ldofs = gdofs[i:field_dim:end]
add!(assembly.C1, ldofs, ldofs, A)
add!(assembly.C2, ldofs, ldofs, A)
add!(assembly.g, ldofs, w*g*N)
end
end
end
end
=#