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https://github.com/JuliaFEM/JuliaFEM.jl.git
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issue #67
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@@ -23,14 +23,6 @@ type DC2D4NL <: MyEquation
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integration_points :: Vector{IntegrationPoint}
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end
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function DC2D4NL(element::Quad4)
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integration_points = get_default_integration_points(element)
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if !haskey(element, "temperature")
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element["temperature"] = zeros(4)
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end
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DC2D4NL(element, integration_points)
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end
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function Base.size(equation::DC2D4NL)
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return (1, 4)
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end
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@@ -41,18 +33,23 @@ type DC2D2NL <: MyEquation
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integration_points :: Vector{IntegrationPoint}
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end
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function DC2D2NL(element::Seg2)
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integration_points = JuliaFEM.line5()
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if !haskey(element, "temperature")
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element["temperature"] = zeros(2)
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end
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DC2D2NL(element, integration_points)
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end
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function Base.size(equation::DC2D2NL)
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return (1, 2)
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end
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function Base.convert(::Type{MyEquation}, element::Quad4)
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integration_points = get_default_integration_points(element)
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haskey(element, "temperature") || (element["temperature"] = 0.0 => zeros(4))
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DC2D4NL(element, integration_points)
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end
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function Base.convert(::Type{MyEquation}, element::Seg2)
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integration_points = JuliaFEM.line5()
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haskey(element, "temperature") || (element["temperature"] = 0.0 => zeros(2))
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DC2D2NL(element, integration_points)
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end
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""" Calculate a potential Π = Wint - Wext of system. """
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function JuliaFEM.get_potential_energy(equation::DC2D4NL, ip, time; variation=nothing)
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element = get_element(equation)
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@@ -89,27 +86,13 @@ function test_potential_energy_method()
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element["temperature load"] = [0.0, 0.0, 0.0, 0.0]
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element["temperature nodal load"] = [3.0, 3.0, 0.0, 0.0]
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element["temperature nonlinearity coefficient"] = 6.0
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equation = DC2D4NL(element)
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equation = convert(MyEquation, element)
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# create model -- end
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ass = Assembly()
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info("unknown field name: $(get_unknown_field_name(equation))")
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T = zeros(4) # create workspace for solution vector
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dT = zeros(4) #
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fd = [1, 2] # free dofs
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# start loops, in principle solve ∂r(u)/∂uΔu = -r(u) and update.
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for i=1:10
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empty!(ass)
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assemble!(ass, equation) # calculate local matrices
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dT[fd] = full(ass.stiffness_matrix)[fd,fd] \ full(ass.force_vector)[fd]
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T += dT
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push!(element["temperature"], T) # add new increment to model
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@printf("increment %2d, |du| = %8.5f\n", i, norm(dT))
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err = last(element["temperature"])[1] - 2/3
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isapprox(err, 0.0) && break
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end
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err = last(element["temperature"])[1] - 2/3
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solve!(equation, [1, 2], 0.0)
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basis = get_basis(element)
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temp = basis("temperature", [0.0, -1.0], 0.0)
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err = temp - 2/3
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info("error: $err")
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@test isapprox(err, 0.0)
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end
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@@ -118,15 +101,11 @@ end
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type TestProblem <: Problem
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unknown_field_name :: ASCIIString
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unknown_field_dimension :: Int
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equations :: Vector{Equation}
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element_mapping :: Dict{DataType, DataType}
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equations :: Vector{MyEquation}
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end
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function TestProblem(equations=[])
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element_mapping = Dict(
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Quad4 => DC2D4NL,
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Seg2 => DC2D2NL)
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TestProblem("temperature", 1, equations, element_mapping)
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TestProblem("temperature", 1, equations)
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end
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function test_potential_energy_method_2()
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@@ -138,41 +117,23 @@ function test_potential_energy_method_2()
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element1["temperature thermal conductivity"] = 6.0
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element1["temperature load"] = [0.0, 0.0, 0.0, 0.0]
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element1["temperature nonlinearity coefficient"] = [0.0, 0.0, 0.0, 0.0]
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element1["temperature"] = ones(4)
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element2 = Seg2([1, 2])
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element2["geometry"] = Vector[N[1], N[2]]
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element2["temperature coefficient"] = 3.0e-8 # ~ 5.7e-8 * 0.5
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element2["temperature external"] = 100.0
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element2["temperature"] = ones(2)
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# create model -- end
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equation1 = DC2D4NL(element1)
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equation2 = DC2D2NL(element2)
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ass = Assembly()
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info("unknown field name: $(get_unknown_field_name(equation1))")
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T = zeros(4) # create workspace for solution vector
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dT = zeros(4) #
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fd = [1, 2] # free dofs
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# start loops, in principle solve ∂r(u)/∂uΔu = -r(u) and update.
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for i=1:10
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empty!(ass)
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assemble!(ass, equation1)
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assemble!(ass, equation2)
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dT[fd] = full(ass.stiffness_matrix)[fd,fd] \ full(ass.force_vector)[fd]
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T += dT
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push!(element1["temperature"], T)
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push!(element2["temperature"], T[fd])
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@printf("increment %2d, |du| = %8.5f\n", i, norm(dT))
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err = last(element1["temperature"])[1] - 0.5
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isapprox(err, 0.0) && break
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end
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problem = TestProblem()
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push!(problem, element1)
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push!(problem, element2)
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solve!(problem, [1, 2], 0.0)
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err = last(element1["temperature"])[1] - 0.5
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basis = get_basis(element1)
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temp = basis("temperature", [0.0, -1.0], 0.0)
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err = temp - 0.5
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info("error: $err")
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@test isapprox(err, 0.0)
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@test isapprox(err, 0.0, atol=1.0e-6)
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# @test isapprox(temp, 2.93509690572300E+00) # tested using Code Aster
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end
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