This commit is contained in:
Olli Väinölä
2015-12-17 15:47:36 +02:00
parent 9d4104148f
commit dccd02d484
+7 -99
View File
@@ -5,8 +5,9 @@ include("vonmises.jl")
# Elasticity problems
abstract ElasticityProblem <: AbstractProblem
abstract ElasticPlasticProblem <: AbstractProblem
abstract ElasticityProblem <: AbstractProblem
abstract PlaneStressElasticityProblem <: ElasticityProblem
function get_unknown_field_name{P<:ElasticityProblem}(::Type{P})
return "displacement"
@@ -24,20 +25,17 @@ function get_unknown_field_type{P<:ElasticPlasticProblem}(::Type{P})
return Vector{Float64}
end
# 3D Elasticity problems
function ElasticityProblem(dim::Int=3, elements=[])
return Problem{ElasticityProblem}(dim, elements)
end
function ElasticPlasticProblem(dim::Int=3, elements=[])
return Problem{ElasticPlasticProblem}(dim, elements)
end
abstract PlaneStressElasticityProblem <: ElasticityProblem
# 2D Plane stress elasticity problems
function PlaneStressElasticityProblem(dim::Int=2, elements=[])
return Problem{PlaneStressElasticityProblem}(dim, elements)
end
""" Elasticity equations.
Formulation
@@ -69,6 +67,7 @@ https://en.wikipedia.org/wiki/Hooke's_law
"""
function get_residual_vector{P<:ElasticityProblem}(problem::Problem{P}, element::Element, ip::IntegrationPoint, time::Number; variation=nothing)
#function get_residual_vector{P<:ElasticPlasticProblem}(problem::Problem{P}, element::Element, ip::IntegrationPoint, time::Number; variation=nothing)
r = zeros(Float64, problem.dim, length(element))
@@ -119,94 +118,3 @@ function get_residual_vector{P<:ElasticityProblem}(problem::Problem{P}, element:
return vec(r)
end
"""
"""
function get_residual_vector{P<:ElasticPlasticProblem}(problem::Problem{P}, element::Element, ip::IntegrationPoint, time::Number; variation=nothing)
# u = element("displacement", ip, time, variation)
r = zeros(Float64, problem.dim, length(element))
# internal forces
if haskey(element, "youngs modulus") && haskey(element, "poissons ratio")
if !haskey(element, "integration points")
last_stress = zeros(3,3)
last_strain = zeros(3,3)
else
for each_ip in element("integration points", time)
if isapprox(each_ip.xi, ip.xi)
last_stress = ip("stress", time)
last_strain = ip("stress", time)
break
end
end
end
# last_ip = get_last_ip(problem, element, ip, time)
# stress_base = last_ip("stress")
u = element("displacement", time, variation)
grad = element(ip, time, Val{:grad})
# gradu = element("displacement", ip, time, Val{:grad}, variation)
gradu = grad*u
F = I + gradu # deformation gradient
young = element("youngs modulus", ip, time)
poisson = element("poissons ratio", ip, time)
C = stiffnessTensor(young, poisson)
mu = young/(2*(1+poisson))
lambda = young*poisson/((1+poisson)*(1-2*poisson))
if P == PlaneStressElasticityProblem
lambda = 2*lambda*mu/(lambda + 2*mu) # <- correction for 2d problems
end
stress_y = element("yield stress", time).data
#E = 1/2*(F'*F - I) # large strain
E = 1/2*(gradu + gradu') # finite strain (total)
dstrain = E - last_strain
material_model = element("material model", time)
s = last_stress
de = ForwardDiff.get_value(dstrain)
s_v = [s[1,1], s[2,2], s[3,3], s[2,3], s[1,3], s[1,2]]
de_ = [de[1,1], de[2,2], de[3,3], de[2,3], de[1,3], de[1,2]]
#println("stress: ", s_v)
#println("de: ", de_)
#println(C)
#println("yield stress: ", stress_y)
plastic_multiplier = calculate_stress!(de_, s_v, C, stress_y, Val{:vonMises})
# dep = lambda * dfds(s)
# upate_material_parameters!(...)
S = [s_v[1] s_v[6] s_v[5];
s_v[6] s_v[2] s_v[4];
s_v[5] s_v[4] s_v[3]]
# S = C * (E - dep)
#S = lambda*trace(E)*I + 2*mu*E
#J = det(element, ip, time)
#T = J^-1*F*S*F'
#ip["cauchy stress"] = T
#ip["gl strain"] = E
r += F*S*grad
end
# external forces - volume load
if haskey(element, "displacement load")
basis = element(ip, time)
b = element("displacement load", ip, time)
r -= b*basis
end
# external forces - surface traction force
if haskey(element, "displacement traction force")
basis = element(ip, time)
T = element("displacement traction force", ip, time)
r -= T*basis
end
return vec(r)
end