def solve_problem(shape, dims, young, poisson, force, transform=None):
domain = make_domain(dims[:2], shape, transform=transform)
omega = domain.regions['Omega']
gamma1 = domain.regions['Gamma1']
gamma2 = domain.regions['Gamma2']
field = Field.from_args('fu', nm.float64, 6, omega, approx_order=1,
poly_space_base='shell10x')
u = FieldVariable('u', 'unknown', field)
v = FieldVariable('v', 'test', field, primary_var_name='u')
thickness = dims[2]
if transform is None:
pload = [[0.0, 0.0, force / shape[1], 0.0, 0.0, 0.0]] * shape[1]
elif transform == 'bend':
pload = [[force / shape[1], 0.0, 0.0, 0.0, 0.0, 0.0]] * shape[1]
elif transform == 'twist':
pload = [[0.0, force / shape[1], 0.0, 0.0, 0.0, 0.0]] * shape[1]
m = Material('m', D=sh.create_elastic_tensor(young=young, poisson=poisson),
values={'.drill' : 1e-7})
load = Material('load', values={'.val' : pload})
aux = Integral('i', order=3)
qp_coors, qp_weights = aux.get_qp('3_8')
qp_coors[:, 2] = thickness * (qp_coors[:, 2] - 0.5)
qp_weights *= thickness
integral = Integral('i', coors=qp_coors, weights=qp_weights, order='custom')
t1 = Term.new('dw_shell10x(m.D, m.drill, v, u)',
integral, omega, m=m, v=v, u=u)
t2 = Term.new('dw_point_load(load.val, v)',
integral, gamma2, load=load, v=v)
eq = Equation('balance', t1 - t2)
eqs = Equations([eq])
fix_u = EssentialBC('fix_u', gamma1, {'u.all' : 0.0})
ls = ScipyDirect({})
nls_status = IndexedStruct()
nls = Newton({}, lin_solver=ls, status=nls_status)
pb = Problem('elasticity with shell10x', equations=eqs)
pb.set_bcs(ebcs=Conditions([fix_u]))
pb.set_solver(nls)
state = pb.solve()
return pb, state, u, gamma2
def solve_problem(shape, dims, young, poisson, force, transform=None):
domain = make_domain(dims[:2], shape, transform=transform)
omega = domain.regions['Omega']
gamma1 = domain.regions['Gamma1']
gamma2 = domain.regions['Gamma2']
field = Field.from_args('fu', nm.float64, 6, omega, approx_order=1,
poly_space_base='shell10x')
u = FieldVariable('u', 'unknown', field)
v = FieldVariable('v', 'test', field, primary_var_name='u')
thickness = dims[2]
if transform is None:
pload = [[0.0, 0.0, force / shape[1], 0.0, 0.0, 0.0]] * shape[1]
elif transform == 'bend':
pload = [[force / shape[1], 0.0, 0.0, 0.0, 0.0, 0.0]] * shape[1]
elif transform == 'twist':
pload = [[0.0, force / shape[1], 0.0, 0.0, 0.0, 0.0]] * shape[1]
m = Material('m', D=sh.create_elastic_tensor(young=young, poisson=poisson),
values={'.drill' : 1e-7})
load = Material('load', values={'.val' : pload})
aux = Integral('i', order=3)
qp_coors, qp_weights = aux.get_qp('3_8')
qp_coors[:, 2] = thickness * (qp_coors[:, 2] - 0.5)
qp_weights *= thickness
integral = Integral('i', coors=qp_coors, weights=qp_weights, order='custom')
t1 = Term.new('dw_shell10x(m.D, m.drill, v, u)',
integral, omega, m=m, v=v, u=u)
t2 = Term.new('dw_point_load(load.val, v)',
integral, gamma2, load=load, v=v)
eq = Equation('balance', t1 - t2)
eqs = Equations([eq])
fix_u = EssentialBC('fix_u', gamma1, {'u.all' : 0.0})
ls = ScipyDirect({})
nls_status = IndexedStruct()
nls = Newton({}, lin_solver=ls, status=nls_status)
pb = Problem('elasticity with shell10x', equations=eqs, nls=nls, ls=ls)
pb.time_update(ebcs=Conditions([fix_u]))
state = pb.solve()
return pb, state, u, gamma2
'ls': 'ls',
'post_process_hook': 'post_process',
}
if transform is None:
pload = [[0.0, 0.0, force / shape[1], 0.0, 0.0, 0.0]] * shape[1]
elif transform == 'bend':
pload = [[force / shape[1], 0.0, 0.0, 0.0, 0.0, 0.0]] * shape[1]
elif transform == 'twist':
pload = [[0.0, force / shape[1], 0.0, 0.0, 0.0, 0.0]] * shape[1]
materials = {
'm': ({
'D': sh.create_elastic_tensor(young=young, poisson=poisson),
'.drill': 1e-7,
}, ),
'load': ({
'.val': pload,
}, )
}
xmin = (-0.5 + 1e-12) * dims[0]
xmax = (0.5 - 1e-12) * dims[0]
regions = {
'Omega': 'all',
'Gamma1': ('vertices in (x < %.14f)' % xmin, 'facet'),
'Gamma2': ('vertices in (x > %.14f)' % xmax, 'facet'),
}
'ls' : 'ls',
'post_process_hook' : 'post_process',
}
if transform is None:
pload = [[0.0, 0.0, force / shape[1], 0.0, 0.0, 0.0]] * shape[1]
elif transform == 'bend':
pload = [[force / shape[1], 0.0, 0.0, 0.0, 0.0, 0.0]] * shape[1]
elif transform == 'twist':
pload = [[0.0, force / shape[1], 0.0, 0.0, 0.0, 0.0]] * shape[1]
materials = {
'm' : ({
'D' : sh.create_elastic_tensor(young=young, poisson=poisson),
'.drill' : 1e-7,
},),
'load' : ({
'.val' : pload,
},)
}
xmin = (-0.5 + 1e-12) * dims[0]
xmax = (0.5 - 1e-12) * dims[0]
regions = {
'Omega' : 'all',
'Gamma1' : ('vertices in (x < %.14f)' % xmin, 'facet'),
'Gamma2' : ('vertices in (x > %.14f)' % xmax, 'facet'),
}
