JuliaFEM.jl/test/test_elasticity_pyr5_point_load.jl

# This file is a part of JuliaFEM.
# License is MIT: see https://github.com/JuliaFEM/JuliaFEM.jl/blob/master/LICENSE.md

using JuliaFEM, Test

# Pyr5 elasticity with point load

nodes = Dict(
    1 => [-1.0,-1.0,-1.0],
    2 => [ 1.0,-1.0,-1.0],
    3 => [ 1.0, 1.0,-1.0],
    4 => [-1.0, 1.0,-1.0],
    5 => [ 0.0, 0.0, 1.0])

element1 = Element(Pyr5, (1, 2, 3, 4, 5))
baseQuad = Element(Quad4, (1, 2, 3, 4))
tipPoint = Element(Poi1, (5,))

update!((element1, baseQuad, tipPoint), "geometry", nodes)
update!(element1, "youngs modulus", 288.0)
update!(element1, "poissons ratio", 1/3)

update!(tipPoint, "displacement traction force 1",  5.0)
update!(tipPoint, "displacement traction force 2", -7.0)
update!(tipPoint, "displacement traction force 3",  3.0)

elasticity_problem = Problem(Elasticity, "solve continuum block", 3)
elasticity_problem.properties.finite_strain = false
add_elements!(elasticity_problem, element1, baseQuad, tipPoint)

update!(baseQuad, "displacement 1", 0.0)
update!(baseQuad, "displacement 2", 0.0)
update!(baseQuad, "displacement 3", 0.0)
boundary_problem = Problem(Dirichlet, "Boundary conditions", 3, "displacement")
add_elements!(boundary_problem, baseQuad)

analysis = Analysis(Linear)
add_problems!(analysis, elasticity_problem, boundary_problem)
run!(analysis)

xi, time = (0.0, 0.0, 1.0), 0.0
u = element1("displacement", xi, time)
u_expected = [6.9444444444427100E-02,-9.7222222222197952E-02,1.0416666666679683E-02]
@debug("displacement at tip", xi, time, u, u_expected)
# Code_Aster Result in verification/2017-05-27-pyramids/Pyr5_displacement.txt
@test isapprox(u, u_expected)