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'), }