def solve(self):
"""Solve problem"""
self.updateGeometry()
self.updateMesh()
self.ep = [self.ptype, self.t]
self.D = cfc.hooke(self.ptype, self.E, self.v)
cfu.info("Assembling system matrix...")
nDofs = np.size(self.dofs)
ex, ey = cfc.coordxtr(self.edof, self.coords, self.dofs)
K = np.zeros([nDofs, nDofs])
for eltopo, elx, ely in zip(self.edof, ex, ey):
Ke = cfc.planqe(elx, ely, self.ep, self.D)
cfc.assem(eltopo, K, Ke)
cfu.info("Solving equation system...")
f = np.zeros([nDofs, 1])
bc = np.array([], 'i')
bcVal = np.array([], 'i')
bc, bcVal = cfu.applybc(self.bdofs, bc, bcVal, 5, 0.0, 0)
cfu.applyforce(self.bdofs, f, 7, 10e5, 1)
self.a, self.r = cfc.solveq(K, f, bc, bcVal)
cfu.info("Computing element forces...")
ed = cfc.extractEldisp(self.edof, self.a)
self.vonMises = []
# For each element:
for i in range(self.edof.shape[0]):
# Determine element stresses and strains in the element.
es, et = cfc.planqs(ex[i, :], ey[i, :], self.ep, self.D, ed[i, :])
# Calc and append effective stress to list.
self.vonMises.append(
sqrt(
pow(es[0], 2) - es[0] * es[1] + pow(es[1], 2) + 3 * es[2]))
# ----- Solve problem
nDofs = np.size(dofs)
ex, ey = cfc.coordxtr(edof, coords, dofs)
K = np.zeros([nDofs, nDofs])
for eltopo, elx, ely in zip(edof, ex, ey):
Ke = cfc.planqe(elx, ely, ep, D)
cfc.assem(eltopo, K, Ke)
bc = np.array([], 'i')
bcVal = np.array([], 'f')
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, left_support, 0.0, 0)
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, right_support, 0.0, 2)
f = np.zeros([nDofs, 1])
cfu.applyforcetotal(bdofs, f, top_line, -10e5, 2)
a, r = cfc.solveq(K, f, bc, bcVal)
ed = cfc.extractEldisp(edof, a)
vonMises = []
for i in range(edof.shape[0]):
es, et = cfc.planqs(ex[i, :], ey[i, :], ep, D, ed[i, :])
vonMises.append(
sqrt(pow(es[0], 2) - es[0] * es[1] + pow(es[1], 2) + 3 * es[2]))
def executeFem(self):
q = self.inputData.q
B = self.inputData.B
b = self.inputData.b
hvec = self.inputData.hvec
Mvec = self.inputData.Mvec
kmat = self.inputData.kmat
rhow = self.inputData.rhow
hn = self.inputData.hn
coords = self.outputData.coords
edof = self.outputData.edof
bdofs = self.outputData.bdofs
elementmarkers = self.outputData.elementmarkers
ex = self.outputData.ex
ey = self.outputData.ey
ndof=edof.max()
# --- Definera randvillkor
bc = np.array([],int)
bcVal = np.array([],int)
bc,bcVal = cfu.applybc(bdofs, bc, bcVal, 3, 0)
bc,bcVal = cfu.applybc(bdofs, bc, bcVal, 2, 0)
if self.inputData.perm == True:
bc,bcVal = cfu.applybc(bdofs, bc, bcVal, (599+hn), 0)
# --- Definiera materialmatris
ep=[(1)]
D=np.zeros([2,2])
# --- Skapa tom K-matris och f-vektor
K = np.zeros([ndof,ndof])
C = np.zeros([ndof,ndof])
for eltopo, elx, ely, elMarker in zip(edof, ex, ey, elementmarkers):
Dn = elMarker - 100
D[0,0] = kmat[Dn,0]*60*60*24*365.25
D[1,1] = kmat[Dn,1]*60*60*24*365.25
M = Mvec[Dn]
Ke = cfc.flw2te(elx, ely, ep, D)
Ce = tg.flwtec(elx,ely,rhow,M)
cfc.assem(eltopo, K, Ke)
cfc.assem(eltopo,C,Ce)
a0 = tg.strdist(coords, ndof, q, B, b, hvec)
a0 = np.asmatrix(a0)
self.outputData.K = K
self.outputData.C = C
self.outputData.a0 = a0
self.outputData.bc = bc
self.outputData.bcVal = bcVal
for eltopo, elx, ely, elMarker in zip(edof, ex, ey, elementmarkers):
# Calc element stiffness matrix: Conductivity matrix D is taken
# from Ddict and depends on which region (which marker) the element is in.
Ke = flw2i8e(elx, ely, ep, Ddict[elMarker])
assem(eltopo, K, Ke)
print("Solving equation system...")
f = zeros([nDofs, 1])
bc = array([], "i")
bcVal = array([], "i")
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 2, 30.0)
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 3, 0.0)
a, r = solveq(K, f, bc, bcVal)
# ---- Compute element forces -----------------------------------------------
print("Computing element forces...")
ed = extractEldisp(edof, a)
for i in range(shape(ex)[0]):
es, et, eci = flw2i8s(ex[i, :], ey[i, :], ep, Ddict[elementmarkers[i]], ed[i, :])
# Do something with es, et, eci here.
for eltopo, elx, ely, elMarker in zip(edof, ex, ey, elementmarkers):
# Calc element stiffness matrix: Conductivity matrix D is taken
# from Ddict and depends on which region (which marker) the element is in.
Ke = cfc.flw2i8e(elx, ely, ep, Ddict[elMarker])
cfc.assem(eltopo, K, Ke)
print("Solving equation system...")
f = np.zeros([n_dofs, 1])
bc = np.array([], 'i')
bc_val = np.array([], 'i')
bc, bc_val = cfu.applybc(bdofs, bc, bc_val, 2, 30.0)
bc, bc_val = cfu.applybc(bdofs, bc, bc_val, 3, 0.0)
a, r = cfc.solveq(K, f, bc, bc_val)
# ---- Compute element forces -----------------------------------------------
print("Computing element forces...")
ed = cfc.extractEldisp(edof, a)
for i in range(np.shape(ex)[0]):
es, et, eci = cfc.flw2i8s(
ex[i, :], ey[i, :], ep, Ddict[elementmarkers[i]], ed[i, :])
# Do something with es, et, eci here.
nDofs = size(dofs)
ex, ey = coordxtr(edof, coords, dofs)
K = zeros([nDofs,nDofs])
for eltopo, elx, ely in zip(edof, ex, ey):
Ke = planqe(elx, ely, ep, D)
assem(eltopo, K, Ke)
print("Solving equation system...")
f = zeros([nDofs,1])
bc = array([],'i')
bcVal = array([],'i')
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 5, 0.0, 0)
cfu.applyforce(bdofs, f, 7, 10e5, 1)
a,r = solveq(K,f,bc,bcVal)
print("Computing element forces...")
ed = extractEldisp(edof,a)
vonMises = []
# For each element:
for i in range(edof.shape[0]):
# Determine element stresses and strains in the element.
nDofs = np.size(dofs)
ex, ey = cfc.coordxtr(edof, coords, dofs)
K = np.zeros([nDofs, nDofs])
for eltopo, elx, ely in zip(edof, ex, ey):
Ke = cfc.planqe(elx, ely, ep, D)
cfc.assem(eltopo, K, Ke)
cfu.info("Solving equation system...")
f = np.zeros([nDofs, 1])
bc = np.array([], 'i')
bcVal = np.array([], 'i')
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 5, 0.0, 0)
cfu.applyforce(bdofs, f, 7, 10e5, 1)
a, r = cfc.solveq(K, f, bc, bcVal)
cfu.info("Computing element forces...")
ed = cfc.extractEldisp(edof, a)
vonMises = []
# For each element:
for i in range(edof.shape[0]):
# Determine element stresses and strains in the element.
nDofs = nDofs = np.size(dofs) ex, ey = cfc.coordxtr(edof, coords, dofs) K = np.zeros([nDofs,nDofs]) for eltopo, elx, ely in zip(edof, ex, ey): Ke = cfc.flw2i4e(elx, ely, ep, D) cfc.assem(eltopo, K, Ke) # ------ Forces and boundary conditions ------------ f = np.zeros([nDofs,1]) bc = np.array([], int) bcVal = np.array([], int) bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 80, 0.0) bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 90, 10.0) # ------ Solve equation system ------------ a,r = cfc.solveq(K,f,bc,bcVal) # ------ Calculate element forces ------------ ed = cfc.extractEldisp(edof,a) maxFlow = [] for i in range(edof.shape[0]): es, et, eci = cfc.flw2i4s(ex[i,:], ey[i,:], ep, D, ed[i,:]) maxFlow.append( math.sqrt( math.pow(es[0,0],2) + math.pow(es[0,1],2))
Ke = cfc.flw2i4e(elx, ely, ep, D)
elif mesh.el_type == 16:
Ke = cfc.flw2i8e(elx, ely, ep, D)
else:
print("Element type not supported")
cfc.assem(el_topo, K, Ke)
print("Solving equation system...")
f = np.zeros([n_dofs, 1])
bc = np.array([], 'i')
bc_val = np.array([], 'f')
bc, bc_val = cfu.applybc(bdofs, bc, bc_val, id_outer, 30.0)
bc, bc_val = cfu.applybc(bdofs, bc, bc_val, id_hole1, 300.0)
bc, bc_val = cfu.applybc(bdofs, bc, bc_val, id_hole2, 400.0)
a, r = cfc.solveq(K, f, bc, bc_val)
# ---- Compute element forces -----------------------------------------------
print("Computing element forces...")
ed = cfc.extract_eldisp(edof, a)
for i in range(np.shape(ex)[0]):
if mesh.el_type == 2:
es, et = cfc.flw2ts(ex[i, :], ey[i, :], D, ed[i, :])
elif mesh.el_type == 3:
for eltopo, elx, ely, elMarker in zip(edof, ex, ey, elementmarkers):
if elType == 2:
Ke = cfc.plante(elx, ely, elprop[elMarker][0], elprop[elMarker][1])
else:
Ke = cfc.planqe(elx, ely, elprop[elMarker][0], elprop[elMarker][1])
cfc.assem(eltopo, K, Ke)
print("Applying bc and loads...")
bc = np.array([],'i')
bcVal = np.array([],'i')
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, markFixed, 0.0)
f = np.zeros([nDofs,1])
cfu.applyforcetotal(bdofs, f, markLoad, value = -10e5, dimension=2)
print("Solving system...")
a,r = cfc.spsolveq(K, f, bc, bcVal)
print("Extracting ed...")
ed = cfc.extractEldisp(edof, a)
vonMises = []
# ---- Calculate elementr stresses and strains ------------------------------
def execute(self):
# ------ Transfer model variables to local variables
self.inputData.updateparams()
version = self.inputData.version
units = self.inputData.units
v = self.inputData.v
ep = self.inputData.ep
E = self.inputData.E
mp = self.inputData.mp
fp = self.inputData.fp
bp = self.inputData.bp
ep[1] = ep[1] * U2SI[units][0]
E = E * U2SI[units][2]
for i in range(len(fp[0])):
fp[1][i] = fp[1][i] * U2SI[units][1]
for i in range(len(bp[0])):
bp[1][i] = bp[1][i] * U2SI[units][0]
# Get most updated dxf dimensions and import model geometry to calfem format
self.inputData.dxf.readDXF(self.inputData.dxf_filename)
for dim in self.inputData.d:
("Adjusting Dimension {0} with val {1}".format(
dim[0], dim[1] * U2SI[units][0]))
self.inputData.dxf.adjustDimension(dim[0], dim[1] * U2SI[units][0])
self.inputData.dxf.adjustDimension(
self.inputData.c['aName'], self.inputData.c['a'] * U2SI[units][0])
self.inputData.dxf.adjustDimension(
self.inputData.c['bName'], self.inputData.c['b'] * U2SI[units][0])
dxf = self.inputData.dxf
if self.inputData.refineMesh:
geometry, curve_dict = dxf.convertToGeometry(max_el_size=mp[2])
else:
geometry, curve_dict = dxf.convertToGeometry()
# Generate the mesh
meshGen = cfm.GmshMeshGenerator(geometry)
meshGen.elSizeFactor = mp[2] # Max Area for elements
meshGen.elType = mp[0]
meshGen.dofsPerNode = mp[1]
meshGen.returnBoundaryElements = True
coords, edof, dofs, bdofs, elementmarkers, boundaryElements = meshGen.create(
)
# Add the force loads and boundary conditions
bc = np.array([], int)
bcVal = np.array([], int)
nDofs = np.size(dofs)
f = np.zeros([nDofs, 1])
for i in range(len(bp[0])):
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, dxf.markers[bp[0][i]],
bp[1][i])
for i in range(len(fp[0])):
xforce = fp[1][i] * np.cos(np.radians(fp[2][i]))
yforce = fp[1][i] * np.sin(np.radians(fp[2][i]))
cfu.applyforce(bdofs,
f,
dxf.markers[fp[0][i]],
xforce,
dimension=1)
cfu.applyforce(bdofs,
f,
dxf.markers[fp[0][i]],
yforce,
dimension=2)
# ------ Calculate the solution
print("")
print("Solving the equation system...")
# Define the elements coordinates
ex, ey = cfc.coordxtr(edof, coords, dofs)
# Define the D and K matrices
D = (E / (1 - v**2)) * np.matrix([[1, v, 0], [v, 1, 0],
[0, 0, (1 - v) / 2]])
K = np.zeros([nDofs, nDofs])
# Extract element coordinates and topology for each element
for eltopo, elx, ely in zip(edof, ex, ey):
Ke = cfc.plante(elx, ely, ep, D)
cfc.assem(eltopo, K, Ke)
# Solve the system
a, r = cfc.solveq(K, f, bc, bcVal)
# ------ Determine stresses and displacements
print("Computing the element forces")
# Extract element displacements
ed = cfc.extractEldisp(edof, a)
# Determine max displacement
max_disp = [[0, 0], 0] # [node idx, value]
for idx, node in zip(range(len(ed)), ed):
for i in range(3):
disp = math.sqrt(node[2 * i]**2 + node[2 * i + 1]**2)
if disp > max_disp[1]:
max_disp = [[idx, 2 * i], disp]
# Determine Von Mises stresses
vonMises = []
max_vm = [0, 0] # [node idx, value]
for i in range(edof.shape[0]):
es, et = cfc.plants(ex[i, :], ey[i, :], ep, D, ed[i, :])
try:
vonMises.append(
math.sqrt(
pow(es[0, 0], 2) - es[0, 0] * es[0, 1] +
pow(es[0, 1], 2) + 3 * es[0, 2]))
if vonMises[-1] > max_vm[1]:
max_vm = [i, vonMises[-1]]
except ValueError:
vonMises.append(0)
print("CAUGHT MATH EXCEPTION with es = {0}".format(es))
# Note: es = [sigx sigy tauxy]
# ------ Store the solution in the output model variables
self.outputData.disp = ed
self.outputData.stress = vonMises
self.outputData.geometry = geometry
self.outputData.a = a
self.outputData.coords = coords
self.outputData.edof = edof
self.outputData.mp = mp
self.outputData.meshGen = meshGen
self.outputData.statistics = [
max_vm, max_disp, curve_dict, self.inputData.dxf.anchor,
self.inputData.dxf.wh
]
if self.inputData.paramFilename is None:
print("Solution completed.")
for eltopo, elx, ely, elMarker in zip(edof, ex, ey, elementmarkers):
if el_type == 2:
Ke = cfc.plante(elx, ely, elprop[elMarker][0], elprop[elMarker][1])
else:
Ke = cfc.planqe(elx, ely, elprop[elMarker][0], elprop[elMarker][1])
cfc.assem(eltopo, K, Ke)
cfu.info("Applying bc and loads...")
bc = np.array([],'i')
bcVal = np.array([],'i')
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, mark_fixed, 0.0)
f = np.zeros([nDofs,1])
cfu.applyforcetotal(bdofs, f, mark_load, value = -10e5, dimension=2)
cfu.info("Solving system...")
a,r = cfc.spsolveq(K, f, bc, bcVal)
cfu.info("Extracting ed...")
ed = cfc.extractEldisp(edof, a)
von_mises = []
# ---- Calculate elementr stresses and strains ------------------------------
def addBC(self, marker, value=0.0, dimension=0):
self.bc, self.bc_val = cfu.applybc(self.mesh.bdofs, self.bc,
self.bc_val, marker, value,
dimension)
def execute(self):
# --- Överför modell variabler till lokala referenser
ep = self.inputData.ep
E = self.inputData.E
v = self.inputData.v
Elementsize = self.inputData.Elementsize
# --- Anropa InputData för en geomtetribeskrivning
geometry = self.inputData.geometry()
# --- Nätgenerering
elType = 3 # <-- Fyrnodselement flw2i4e
dofsPerNode = 2
meshGen = cfm.GmshMeshGenerator(geometry)
meshGen.elSizeFactor = Elementsize # <-- Anger max area för element
meshGen.elType = elType
meshGen.dofsPerNode = dofsPerNode
meshGen.returnBoundaryElements = True
coords, edof, dof, bdofs, elementmarkers, boundaryElements = meshGen.create(
)
self.outputData.topo = meshGen.topo
#Solver
bc = np.array([], 'i')
bcVal = np.array([], 'i')
D = cfc.hooke(1, E, v)
nDofs = np.size(dof)
ex, ey = cfc.coordxtr(edof, coords, dof) #Coordinates
K = np.zeros([nDofs, nDofs])
#Append Boundary Conds
f = np.zeros([nDofs, 1])
bc, bcVal = cfu.applybc(bdofs, bc, bcVal, 30, 0.0, 0)
cfu.applyforce(bdofs, f, 20, 100e3, 1)
qs_array = []
qt_array = []
for x, y, z in zip(ex, ey, edof):
Ke = cfc.planqe(x, y, ep, D)
cfc.assem(z, K, Ke)
asolve, r = cfc.solveq(K, f, bc, bcVal)
ed = cfc.extractEldisp(edof, asolve)
for x, y, z in zip(ex, ey, ed):
qs, qt = cfc.planqs(x, y, ep, D, z)
qs_array.append(qs)
qt_array.append(qt)
vonMises = []
stresses1 = []
stresses2 = []
# For each element:
for i in range(edof.shape[0]):
# Determine element stresses and strains in the element.
es, et = cfc.planqs(ex[i, :], ey[i, :], ep, D, ed[i, :])
# Calc and append effective stress to list.
vonMises.append(
np.sqrt(
pow(es[0], 2) - es[0] * es[1] + pow(es[1], 2) + 3 * es[2]))
## es: [sigx sigy tauxy]
# sigmaij = np.array([[es(i,1),es(i,3),0],[es(i,3),es(i,2),0],[0,0,0]])
sigmaij = np.array([[es[0], es[2], 0], [es[2], es[1], 0],
[0, 0, 0]])
[v, w] = np.linalg.eig(sigmaij)
stresses1.append(v[0] * w[0])
stresses2.append(v[1] * w[1])
# --- Överför modell variabler till lokala referenser
self.outputData.vonMises = vonMises
self.outputData.edof = edof
self.outputData.coords = coords
self.outputData.stresses1 = stresses1
self.outputData.stresses2 = stresses2
self.outputData.geometry = geometry
self.outputData.asolve = asolve
self.outputData.r = r
self.outputData.ed = ed
self.outputData.qs = qs_array
self.outputData.qt = qt_array
self.outputData.dofsPerNode = dofsPerNode
self.outputData.elType = elType
self.outputData.calcDone = True