def test_rve_2_part():
geo.set_gmsh_option("Mesh.MshFileVersion", 4.1)
a = 1
b, k = a, a / 3
r = a / 1e2
panto_rve = mg.pantograph.pantograph_RVE(a, b, k, r, name="couple_panto")
lc_ratio = 1 / 2
lc_min_max = (lc_ratio * r, lc_ratio * a)
d_min_max = (5 * r, a)
panto_rve.main_mesh_refinement(d_min_max, lc_min_max, False)
panto_rve.mesh_generate()
gmsh.model.mesh.renumberNodes()
gmsh.model.mesh.renumberElements()
gmsh.write(str(panto_rve.mesh_abs_path))
panto_part = mg.Gmsh2DPartFromRVE(panto_rve, (2, 3))
msh_conversion(panto_rve.mesh_abs_path, ".xdmf")
msh_conversion(panto_part.mesh_abs_path, ".xdmf")
def test_pantograph_offset():
geo.set_gmsh_option("Mesh.MshFileVersion", 4.1)
a = 1
b, k = a, a / 3
t = 0.02
panto_test = mg.pantograph.pantograph_offset_RVE(a,
b,
k,
t,
nb_cells=(1, 1),
soft_mat=False,
name="panto_rve_1x1")
lc_ratio = 1 / 6
lc_min_max = (lc_ratio * t * a, lc_ratio * a)
panto_test.main_mesh_refinement((2 * t * a, a), lc_min_max, False)
panto_test.mesh_generate()
gmsh.model.mesh.renumberNodes()
gmsh.model.mesh.renumberElements()
gmsh.write("panto_rve_offset.msh")
def _mesh_homogeneous_cell(cell_vect, mesh_path):
"""Generate a simple mesh for a homogeneous cell.
cell_vect: np.array 2x2 colonnes = vecteurs periodicité
"""
name = mesh_path.stem
geometry.init_geo_tools()
geometry.set_gmsh_option("Mesh.MshFileVersion", 4.1)
# Mesh.Algorithm = 6; Frontal - Delaunay for 2D meshes
geometry.set_gmsh_option("Mesh.Algorithm", 6)
geometry.set_gmsh_option("Mesh.MeshSizeMin", 0.05)
geometry.set_gmsh_option("Mesh.MeshSizeMax", 0.05)
rve = Gmsh2DRVE([], cell_vect, (1, 1), np.zeros(2), [], False, name)
rve.mesh_generate()
gmsh.model.mesh.renumberNodes()
gmsh.model.mesh.renumberElements()
gmsh.write(str(mesh_path))
mesh_path = msh_conversion(mesh_path, ".xdmf")
geometry.reset()
return mesh_path
logger.info("Start defining a periodicity constraint for the mesh")
macro_bndry = macro_ll.sides
rve_s.get_boundary(recursive=True)
micro_bndry = [
geo.macro_line_fragments(rve_s.boundary, M_ln) for M_ln in macro_bndry
]
dirct = [(M_ln.def_pts[-1].coord - M_ln.def_pts[0].coord)
for M_ln in macro_bndry]
logger.debug("value and type of dirct items : " + repr([(i, type(i))
for i in dirct]))
for i, crvs in enumerate(micro_bndry):
msh.order_curves(crvs, dirct[i % 2], orientation=True)
logger.debug("length of micro_bndry list : " + str(len(micro_bndry)))
msh.set_periodicity_pairs(micro_bndry[0], micro_bndry[2])
msh.set_periodicity_pairs(micro_bndry[1], micro_bndry[3])
logger.info("Periodicity constraint : Done")
logger.info("Cleaning model")
factory.remove([(1, s.tag) for s in macro_ll.sides])
factory.synchronize()
factory.removeAllDuplicates()
factory.synchronize()
geo.set_gmsh_option("Mesh.CharacteristicLengthExtendFromBoundary", 0)
geo.set_gmsh_option("Mesh.SaveAll", 0)
geo.PhysicalGroup.set_group_mesh(1)
gmsh.model.mesh.generate(2)
gmsh.write(str(mesh_file))
run(f"gmsh {str(mesh_file)} &", shell=True, check=True)
def test_get_domains_gmsh(plots=False):
""" Get subdomains and partition of the boundary from a .msh file. """
name = "test_domains"
local_dir = Path(__file__).parent
mesh_file = local_dir.joinpath(name + ".msh")
gmsh.model.add(name)
L_x, L_y = 2.0, 2.0
H = 1.0
vertices = [(0.0, 0.0), (0.0, L_y), (L_x, L_y), (L_x, 0.0)]
contour = geo.LineLoop([geo.Point(np.array(c)) for c in vertices], False)
surface = geo.PlaneSurface(contour)
inclusion_vertices = list()
for coord in [
(H / 2, -H / 2, 0.0),
(H / 2, H / 2, 0.0),
(-H / 2, H / 2, 0.0),
(-H / 2, -H / 2, 0.0),
]:
vertex = geo.translation(geo.Point((L_x / 2, L_y / 2)), coord)
inclusion_vertices.append(vertex)
inclusion = geo.PlaneSurface(geo.LineLoop(inclusion_vertices, False))
for s in [surface, inclusion]:
s.add_gmsh()
factory.synchronize()
(stiff_s, ) = geo.surface_bool_cut(surface, inclusion)
factory.synchronize()
(soft_s, ) = geo.surface_bool_cut(surface, stiff_s)
factory.synchronize()
domains = {
"stiff": geo.PhysicalGroup(stiff_s, 2),
"soft": geo.PhysicalGroup(soft_s, 2),
}
boundaries = {
"S": geo.PhysicalGroup(surface.ext_contour.sides[0], 1),
"W": geo.PhysicalGroup(surface.ext_contour.sides[1], 1),
"N": geo.PhysicalGroup(surface.ext_contour.sides[2], 1),
"E": geo.PhysicalGroup(surface.ext_contour.sides[3], 1),
}
for group in domains.values():
group.add_gmsh()
for group in boundaries.values():
group.add_gmsh()
charact_field = mesh_tools.MathEvalField("0.05")
mesh_tools.set_background_mesh(charact_field)
geo.set_gmsh_option("Mesh.SaveAll", 0)
model.mesh.generate(1)
model.mesh.generate(2)
gmsh.model.mesh.removeDuplicateNodes()
gmsh.write(str(mesh_file))
E_1, E_2, nu = 1, 3, 0.3
materials = {
domains["soft"].tag: mat.Material(E_1, nu, "cp"),
domains["stiff"].tag: mat.Material(E_1, nu, "cp"),
}
test_part = part.FenicsPart.part_from_file(mesh_file,
materials,
subdomains_import=True)
assert test_part.mat_area == approx(L_x * L_y)
elem_type = "CG"
degree = 2
V = fe.VectorFunctionSpace(test_part.mesh, elem_type, degree)
W = fe.FunctionSpace(
test_part.mesh,
fe.VectorElement(elem_type, test_part.mesh.ufl_cell(), degree, dim=3),
)
boundary_conditions = {
boundaries["N"].tag: fe.Expression(("x[0]-1", "1"), degree=1),
boundaries["S"].tag: fe.Expression(("x[0]-1", "-1"), degree=1),
boundaries["E"].tag: fe.Expression(("1", "x[1]-1"), degree=1),
boundaries["W"].tag: fe.Expression(("-1", "x[1]-1"), degree=1),
}
bcs = list()
for tag, val in boundary_conditions.items():
bcs.append(fe.DirichletBC(V, val, test_part.facet_regions, tag))
ds = fe.Measure("ds",
domain=test_part.mesh,
subdomain_data=test_part.facet_regions)
v = fe.TestFunctions(V)
u = fe.TrialFunctions(V)
F = (fe.inner(mat.sigma(test_part.elasticity_tensor, mat.epsilon(u)),
mat.epsilon(v)) * fe.dx)
a, L = fe.lhs(F), fe.rhs(F)
u_sol = fe.Function(V)
fe.solve(a == L, u_sol, bcs)
strain = fe.project(mat.epsilon(u_sol), W)
if plots:
import matplotlib.pyplot as plt
plt.figure()
plot = fe.plot(u_sol)
plt.colorbar(plot)
plt.figure()
plot = fe.plot(strain[0])
plt.colorbar(plot)
plt.figure()
plot = fe.plot(strain[1])
plt.colorbar(plot)
plt.figure()
plot = fe.plot(strain[2])
plt.colorbar(plot)
plt.show()
error = fe.errornorm(
strain,
fe.Expression(("1", "1", "0"), degree=0),
degree_rise=3,
mesh=test_part.mesh,
)
assert error == approx(0, abs=1e-12)
materials = {
domains["soft"].tag: mat.Material(E_1, nu, "cp"),
domains["stiff"].tag: mat.Material(E_2, nu, "cp"),
}
test_part = part.FenicsPart.part_from_file(mesh_file,
materials,
subdomains_import=True)
V = fe.VectorFunctionSpace(test_part.mesh, elem_type, degree)
W = fe.FunctionSpace(
test_part.mesh,
fe.VectorElement(elem_type, test_part.mesh.ufl_cell(), degree, dim=3),
)
bcs = list()
for tag, val in boundary_conditions.items():
bcs.append(fe.DirichletBC(V, val, test_part.facet_regions, tag))
v = fe.TestFunctions(V)
u = fe.TrialFunctions(V)
F = (fe.inner(mat.sigma(test_part.elasticity_tensor, mat.epsilon(u)),
mat.epsilon(v)) * fe.dx)
a, L = fe.lhs(F), fe.rhs(F)
u_sol = fe.Function(V)
fe.solve(a == L, u_sol, bcs)
strain = mat.epsilon(u_sol)
stress = mat.sigma(test_part.elasticity_tensor, strain)
energy = 0.5 * fe.assemble(
fe.inner(stress, strain) * fe.dx(test_part.mesh))
energy_abaqus = 12.8788939
assert energy == approx(energy_abaqus, rel=1e-3)
geo.reset()
def test_mat_area():
"""FenicsPart method global_aera, for 2D parts created from a gmsh mesh and from a FEniCS mesh"""
L_x, L_y = 4.0, 5.0
H = 1.0
size = 0.5
rectangle = mshr.Rectangle(fe.Point(0.0, 0), fe.Point(L_x, L_y))
hole = mshr.Rectangle(
fe.Point(L_x / 2 - H / 2, L_y / 2 - H / 2),
fe.Point(L_x / 2 + H / 2, L_y / 2 + H / 2),
)
domain = rectangle - hole
domain.set_subdomain(1, rectangle)
mesh = mshr.generate_mesh(domain, size)
dimensions = np.array(((L_x, 0.0), (0.0, L_y)))
material = {"0": mat.Material(1.0, 0.3, "cp")}
rect_part = part.FenicsPart(
mesh,
materials=material,
subdomains=None,
global_dimensions=dimensions,
facet_regions=None,
)
assert rect_part.mat_area == (L_x * L_y - H**2)
name = "test_mat_area"
local_dir = Path(__file__).parent
mesh_file = local_dir.joinpath(name + ".msh")
gmsh.model.add(name)
vertices = [(0.0, 0.0), (0.0, L_y), (L_x, L_y), (L_x, 0.0)]
contour = geo.LineLoop([geo.Point(np.array(c)) for c in vertices], False)
surface = geo.PlaneSurface(contour)
cut_vertices = list()
for local_coord in [(H, 0.0, 0.0), (0.0, H, 0.0), (-H, 0.0, 0.0),
(0.0, -H, 0.0)]:
vertex = geo.translation(contour.vertices[2], np.array(local_coord))
cut_vertices.append(vertex)
cut_surface = geo.PlaneSurface(geo.LineLoop(cut_vertices, False))
for s in [surface, cut_surface]:
s.add_gmsh()
factory.synchronize()
(surface, ) = geo.surface_bool_cut(surface, cut_surface)
factory.synchronize()
for dim_tag in model.getEntities(2):
if not dim_tag[1] == surface.tag:
model.removeEntities([dim_tag], True)
charact_field = mesh_tools.MathEvalField("0.1")
mesh_tools.set_background_mesh(charact_field)
geo.set_gmsh_option("Mesh.SaveAll", 1)
model.mesh.generate(2)
gmsh.write(str(mesh_file))
cmd = f"dolfin-convert {mesh_file} {mesh_file.with_suffix('.xml')}"
run(cmd, shell=True, check=True)
mesh = fe.Mesh(str(mesh_file.with_suffix(".xml")))
dimensions = np.array(((L_x, 0.0), (0.0, L_y)))
material = {"0": mat.Material(1.0, 0.3, "cp")}
rect_part = part.FenicsPart(
mesh,
materials=material,
subdomains=None,
global_dimensions=dimensions,
facet_regions=None,
)
assert rect_part.mat_area == approx(L_x * L_y - H * H / 2)
geo.reset()
from ho_homog import part
model = gmsh.model
factory = model.occ
logger = logging.getLogger(
__name__) # http://sametmax.com/ecrire-des-logs-en-python/
logger.setLevel(logging.INFO)
if __name__ == "__main__":
logger_root = logging.getLogger()
logger_root.setLevel(logging.INFO)
logging.basicConfig(format="%(asctime)s :: %(levelname)s :: %(message)s",
level=logging.INFO)
geo.init_geo_tools()
geo.set_gmsh_option("General.Verbosity", 3)
# ? Test du constructeur gmsh_2_Fenics_2DRVE
def test_rve_from_gmsh2drve():
a = 1
b, k = a, a / 3
panto_test = mg.pantograph.pantograph_RVE(a,
b,
k,
0.1,
nb_cells=(2, 3),
soft_mat=False,
name="panto_test")
panto_test.main_mesh_refinement((0.1, 0.5), (0.03, 0.3), False)
"%(asctime)s :: %(levelname)s :: %(name)s :: %(message)s", "%H:%M:%S")
stream_handler = logging.StreamHandler()
stream_handler.setLevel(logging.DEBUG)
stream_handler.setFormatter(formatter)
logger_root.addHandler(stream_handler)
gmsh_logger = logging.getLogger("gmsh")
gmsh_logger.setLevel(logging.INFO)
logging.getLogger("UFL").setLevel(logging.DEBUG)
logging.getLogger("FFC").setLevel(logging.DEBUG)
fe.set_log_level(20)
# * Step 1 : Modeling the geometry of the RVE
geometry.init_geo_tools()
geometry.set_gmsh_option("Mesh.Algorithm", 6)
geometry.set_gmsh_option("Mesh.MshFileVersion", 4.1)
gmsh.option.setNumber("Geometry.Tolerance", 1e-15)
gmsh.option.setNumber("Mesh.CharacteristicLengthExtendFromBoundary", 0)
gmsh.option.setNumber("Mesh.CharacteristicLengthMax", 0.1)
gmsh.option.setNumber("Mesh.LcIntegrationPrecision", 1e-9)
gmsh.option.setNumber("Geometry.MatchMeshTolerance", 1e-12)
a = 1
b, k = a, a / 3
r = a / 1e3
gmsh.logger.start()
rve_geo = mesh_generate_2D.Gmsh2DRVE.pantograph(a, b, k, r, name="panto_rve")
process_gmsh_log(gmsh.logger.get())
gmsh.logger.stop()
def test_mesh_only_phy_groups():
"""
Test of the set_group_mesh classmethod.
A mesh must be generated only entities that belong to physical groups.
"""
name = "test_mesh_only_phy_groups"
gmsh.model.add(name)
geo.set_gmsh_option("Mesh.SaveAll", 1)
coords = [
(0.0, 0.05),
(0.05, 0.0),
(1.8, 0.0),
(2.0, 0.2),
(2.0, 1.95),
(1.95, 2.0),
(0.2, 2.0),
(0.0, 1.8),
]
pts = [geo.Point(np.array(c), 0.03) for c in coords]
lines = [
geo.Line(pts[2 * i - 1], pts[2 * i]) for i in range(len(pts) // 2)
]
centers = [
geo.Point(np.array(c), 0.03)
for c in [(0.05, 0.05), (1.8, 0.2), (1.95, 1.95), (0.2, 1.8)]
]
arcs = [
geo.Arc(pts[2 * i], centers[i], pts[2 * i + 1])
for i in range(len(pts) // 2)
]
elmts_1D = [item for pair in zip(lines, arcs) for item in pair]
ll_1 = geo.LineLoop(elmts_1D, explicit=True)
coords = [(1.0, 1.0), (3.0, 1.0), (3.0, 3.0), (1.0, 3.0)]
vertc = [geo.Point(np.array(c), 0.01) for c in coords]
ll_2 = geo.LineLoop(vertc, explicit=False)
surf_1 = geo.PlaneSurface(ll_1)
surf_2 = geo.PlaneSurface(ll_2)
rect_vtcs = [
geo.Point(np.array(c), 0.05) for c in [(4, 2), (4, 4), (6, 4), (6, 2)]
]
hole_vtcs = [
geo.Point(np.array(c), 0.02)
for c in [(5 - 0.1, 3), (5, 3 - 0.5), (5 + 0.1, 3), (5, 3 + 0.5)]
]
rect_ll = geo.LineLoop(rect_vtcs, explicit=False)
hole_ll = geo.LineLoop(hole_vtcs, explicit=False)
surf_with_hole = geo.PlaneSurface(rect_ll, [hole_ll])
all_surf = [surf_1, surf_2, surf_with_hole]
for s in all_surf:
s.add_gmsh()
factory.synchronize()
surf_group = geo.PhysicalGroup([surf_1, surf_with_hole], 2, "surf_group")
line_group = geo.PhysicalGroup(ll_2.sides + ll_1.sides, 1, "line_group")
surf_group.add_gmsh()
line_group.add_gmsh()
surf_group.set_color([22, 160, 133, 255])
line_group.set_color([234, 97, 83, 255])
geo.PhysicalGroup.set_group_mesh(True)
factory.synchronize() # * Important before meshing
data = model.getPhysicalGroups()
logger.info(
f"All physical groups in '{name}' model : \n"
f"{data} \n"
f"Names : {[model.getPhysicalName(*dimtag) for dimtag in data]}")
gmsh.model.mesh.generate(2)
gmsh.write("%s.brep" % name)
gmsh.write("%s.msh" % name)
os.system("gmsh %s.brep &" % name)
os.system("gmsh %s.msh &" % name)
def test_physical_group():
"""
Test of the PhysicalGroup class.
Group membership in the gmsh model : OK
Colors in the gmsh GUI opened with gmsh.fltk.run() : OK
Information about Physical group membership are exported in the msh file : OK
"""
name = "test_PhysicalGroup"
gmsh.model.add(name)
geo.set_gmsh_option("Mesh.SaveAll", 0)
# gmsh.option.setNumber('Mesh.MeshOnlyVisible',1)
coords = [
(0.0, 0.05),
(0.05, 0.0),
(1.8, 0.0),
(2.0, 0.2),
(2.0, 1.95),
(1.95, 2.0),
(0.2, 2.0),
(0.0, 1.8),
]
pts = [geo.Point(np.array(c), 0.03) for c in coords]
lines = [
geo.Line(pts[2 * i - 1], pts[2 * i]) for i in range(len(pts) // 2)
]
centers = [
geo.Point(np.array(c), 0.03)
for c in [(0.05, 0.05), (1.8, 0.2), (1.95, 1.95), (0.2, 1.8)]
]
arcs = [
geo.Arc(pts[2 * i], centers[i], pts[2 * i + 1])
for i in range(len(pts) // 2)
]
elmts_1D = [item for pair in zip(lines, arcs) for item in pair]
ll_1 = geo.LineLoop(elmts_1D, explicit=True)
coords = [(1.0, 1.0), (3.0, 1.0), (3.0, 3.0), (1.0, 3.0)]
vertc = [geo.Point(np.array(c), 0.01) for c in coords]
ll_2 = geo.LineLoop(vertc, explicit=False)
surf_1 = geo.PlaneSurface(ll_1)
surf_2 = geo.PlaneSurface(ll_2)
rect_vtcs = [
geo.Point(np.array(c), 0.05) for c in [(4, 2), (4, 4), (6, 4), (6, 2)]
]
hole_vtcs = [
geo.Point(np.array(c), 0.02)
for c in [(5 - 0.1, 3), (5, 3 - 0.5), (5 + 0.1, 3), (5, 3 + 0.5)]
]
rect_ll = geo.LineLoop(rect_vtcs, explicit=False)
hole_ll = geo.LineLoop(hole_vtcs, explicit=False)
surf_with_hole = geo.PlaneSurface(rect_ll, [hole_ll])
all_surf = [surf_1, surf_2, surf_with_hole]
logger.info(
f"In model {name}, PlaneSurface instances added to the gmsh model.")
for s in all_surf:
s.add_gmsh()
logger.info(f"Python objects, surfaces tag : {[s.tag for s in all_surf]}")
logger.info(
f"Entities in model {name} before synchronize() call : {model.getEntities()}"
)
factory.synchronize()
logger.info(
f"After synchronize() call : \n Points : {model.getEntities(0)} \n Curves : {model.getEntities(1)} \n Surfaces : {model.getEntities(2)}"
)
surf_group = geo.PhysicalGroup([surf_1, surf_with_hole], 2, "surf_group")
surf_group.add_gmsh()
factory.synchronize()
logger.info(
"Operations : synchronize() -> def surf_group -> adding surf_group to the model -> synchronize()"
)
logger.info(
f"Physical groups in model after : {model.getPhysicalGroups()}")
# * OK, Here is no need of a second sync or a second physical group added in the model.
factory.synchronize()
logger.info(
f"Physical groups in model after a second synchronize() : {model.getPhysicalGroups()}"
)
# surf_group.add_to_group(surf_2) #* Raise an AttributeError, OK
line_group = geo.PhysicalGroup(ll_2.sides, 1, "line_group")
line_group.add_to_group(ll_1.sides)
line_group.add_gmsh()
factory.synchronize()
logger.info(
"Ops : def line_group -> adding line_group to the model -> synchronize()"
)
logger.info(
f"Physical groups in model after that : {model.getPhysicalGroups()}")
pts_group = geo.PhysicalGroup(
[pt for crv in ll_2.sides for pt in crv.def_pts], 0, "pts_group")
pts_group.add_gmsh()
factory.synchronize()
logger.info(
"Ops : def pts_group -> adding pts_group to the model -> synchronize()"
)
logger.info(
f"Physical groups in model after that : {model.getPhysicalGroups()}")
surf_group.set_color([22, 160, 133, 255])
line_group.set_color([234, 97, 83, 255])
factory.synchronize() # * Important before meshing
data = model.getPhysicalGroups()
logger.info(
f"All physical groups in '{name}' model : {data} Names : {[model.getPhysicalName(*dimtag) for dimtag in data]}"
)
prev_val = gmsh.option.getNumber("General.Verbosity")
geo.set_gmsh_option("General.Verbosity", 3)
gmsh.model.mesh.generate(2)
geo.set_gmsh_option("General.Verbosity", prev_val)
gmsh.write("%s.brep" % name)
gmsh.write("%s.msh" % name)
os.system("gmsh %s.brep &" % name)
os.system("gmsh %s.msh &" % name)
pckg_logger.setLevel(logging.INFO)
geometry.bndry_logger.setLevel(logging.DEBUG)
formatter = logging.Formatter(
"%(asctime)s :: %(levelname)s :: %(name)s :: %(message)s", "%H:%M:%S")
stream_handler = logging.StreamHandler()
stream_handler.setLevel(logging.INFO)
stream_handler.setFormatter(formatter)
logger_root.addHandler(stream_handler)
logging.getLogger("UFL").setLevel(logging.DEBUG)
logging.getLogger("FFC").setLevel(logging.DEBUG)
fe.set_log_level(20)
# * Step 1 : Modeling the geometry of the part and the RVE
geometry.init_geo_tools()
geometry.set_gmsh_option("Mesh.MaxNumThreads2D", 4)
geometry.set_gmsh_option("Mesh.MaxNumThreads1D", 4)
geometry.set_gmsh_option("Mesh.Algorithm", 5)
a = 1
b, k = a, a / 3
r = 0.01
gmsh.logger.start()
part_geo = mesh_generate_2D.Gmsh2DRVE.pantograph(a,
b,
k,
r,
nb_cells=(20, 1),
soft_mat=False,
name="panto_part")
# ! Utiliser autre chose que Gmsh2DRVE
toolbox_gmsh.process_gmsh_log(gmsh.logger.get())
# coding: utf-8
import gmsh
import ho_homog.geometry as geo
import ho_homog.mesh_generate as mg
geo.init_geo_tools()
geo.set_gmsh_option("Mesh.MshFileVersion", 4.1)
def test_kagome():
""" Generate a mesh that corresponds to one unit cell of 'kagome' microstructure.
Two cases : alpha = 0.5, fully open, alpha = 0.1 triangles almost close"""
a = 1
junction_thinness = 1e-2
for alpha in [0.1, 0.5]:
rve = mg.kagome.kagome_RVE(0.5,
junction_thinness,
a=a,
name=f"kagome_{alpha:.2f}")
lc_ratio = 1 / 2
lc_min_max = (lc_ratio * junction_thinness * a, lc_ratio * a)
d_min_max = (2 * junction_thinness * a, a)
rve.main_mesh_refinement(d_min_max, lc_min_max, False)
rve.mesh_generate()
gmsh.model.mesh.renumberNodes()
gmsh.model.mesh.renumberElements()
gmsh.write(str(rve.mesh_abs_path))
def test_homog_EGG_pantograph_1x1(generate_mesh=False):
logger.debug("Start test_homog_EGG_pantograph_1x1")
start = time.time()
if generate_mesh:
geometry.init_geo_tools()
geometry.set_gmsh_option("Mesh.MshFileVersion", 4.1)
a = 1
b, k = a, a / 3
r = 0.02
panto_test = mesh_generate.pantograph.pantograph_RVE(
a, b, k, r, nb_cells=(1, 1), soft_mat=False, name="panto_rve_1x1")
lc_ratio = 1 / 6
lc_min_max = (lc_ratio * r * a, lc_ratio * a)
panto_test.main_mesh_refinement((2 * r * a, a), lc_min_max, False)
panto_test.mesh_generate()
gmsh.model.mesh.renumberNodes()
gmsh.model.mesh.renumberElements()
gmsh.write("panto_rve_1x1.msh")
mesh_path = msh_conversion("panto_rve_1x1.msh", ".xdmf")
E, nu = 1.0, 0.3
mesh_path = "panto_rve_1x1.xdmf"
material = materials.Material(E, nu, "cp")
gen_vect = np.array([[4.0, 0.0], [0.0, 8.0]])
rve = part.Fenics2DRVE.rve_from_file(mesh_path, gen_vect, material)
hom_model = homog2d.Fenics2DHomogenization(rve)
*localzt_dicts, constit_tensors = hom_model.homogenizationScheme("EGG")
Chom_ref = np.array([
[2.58608139e-04, 3.45496903e-04, 5.16572422e-12],
[3.45496903e-04, 3.81860676e-02, 6.48384646e-11],
[5.16572422e-12, 6.48384646e-11, 3.27924466e-04],
])
D_ref = np.array([
[
3.7266e-02, 2.2039e-02, 4.6218e-10, 1.5420e-10, 1.2646e-09,
-1.3939e-03
],
[
2.2039e-02, -4.3185e-03, -3.4719e-11, 2.7544e-10, 7.0720e-10,
1.2415e-02
],
[
4.6218e-10, -3.4719e-11, 1.3071e-01, 1.5918e-02, -9.9492e-03,
-2.9101e-10
],
[
1.5420e-10, 2.7544e-10, 1.5918e-02, 1.5802e-01, 1.2891e-01,
1.5962e-09
],
[
1.2646e-09, 7.0720e-10, -9.9492e-03, 1.2891e-01, 1.1628e-01,
1.3358e-09
],
[
-1.3939e-03, 1.2415e-02, -2.9101e-10, 1.5962e-09, 1.3358e-09,
6.3893e-05
],
])
Chom = constit_tensors["E"]["E"]
G = constit_tensors["E"]["EGGbis"]
D = (constit_tensors["EG"]["EG"] - np.vstack(
(G[:, :6], G[:, 6:])) - np.vstack((G[:, :6], G[:, 6:])).T)
logger.debug(f"Chom : \n {Chom}")
logger.debug(f"D : \n {D}")
logger.debug(f"Duration : {time.time() - start}")
assert Chom == approx(Chom_ref, rel=1e-3, abs=1e-10)
assert D == approx(D_ref, rel=1e-3, abs=1e-8)
logger.debug("End test_homog_EGG_pantograph_1x1")
logger.debug(f"Duration : {time.time() - start}")
