14.7.4. Plot stress distribution of plane stress quad model (ops_vis)ΒΆ
Example .py
file can be downloaded here
:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 | import openseespy.opensees as ops
import openseespy.postprocessing.ops_vis as opsv
# import opensees as ops # local compilation
# import ops_vis as opsv # local
import matplotlib.pyplot as plt
ops.wipe()
ops.model('basic', '-ndm', 2, '-ndf', 2)
ops.node(1, 0., 0.)
ops.node(2, 0., 1.)
ops.node(3, 0., 2.)
ops.node(4, 0., 3.)
ops.node(5, 0., 4.)
ops.node(6, 1., 0.)
ops.node(7, 1., 1.)
ops.node(8, 1., 2.)
ops.node(9, 1., 3.)
ops.node(10, 1., 4.)
ops.node(11, 2., 0.)
ops.node(12, 2., 1.)
ops.node(13, 2., 2.)
ops.node(14, 2., 3.)
ops.node(15, 2., 4.)
ops.node(16, 3., 0.)
ops.node(17, 3., 1.)
ops.node(18, 3., 2.)
ops.node(19, 3., 3.)
ops.node(20, 3., 4.)
ops.node(21, 4., 0.)
ops.node(22, 4., 1.)
ops.node(23, 4., 2.)
ops.node(24, 4., 3.)
ops.node(25, 4., 4.)
ops.nDMaterial('ElasticIsotropic', 1, 1000, 0.3)
ops.element('quad', 1, 1, 6, 7, 2, 1, 'PlaneStress', 1)
ops.element('quad', 2, 2, 7, 8, 3, 1, 'PlaneStress', 1)
ops.element('quad', 3, 3, 8, 9, 4, 1, 'PlaneStress', 1)
ops.element('quad', 4, 4, 9, 10, 5, 1, 'PlaneStress', 1)
ops.element('quad', 5, 6, 11, 12, 7, 1, 'PlaneStress', 1)
ops.element('quad', 6, 7, 12, 13, 8, 1, 'PlaneStress', 1)
ops.element('quad', 7, 8, 13, 14, 9, 1, 'PlaneStress', 1)
ops.element('quad', 8, 9, 14, 15, 10, 1, 'PlaneStress', 1)
ops.element('quad', 9, 11, 16, 17, 12, 1, 'PlaneStress', 1)
ops.element('quad', 10, 12, 17, 18, 13, 1, 'PlaneStress', 1)
ops.element('quad', 11, 13, 18, 19, 14, 1, 'PlaneStress', 1)
ops.element('quad', 12, 14, 19, 20, 15, 1, 'PlaneStress', 1)
ops.element('quad', 13, 16, 21, 22, 17, 1, 'PlaneStress', 1)
ops.element('quad', 14, 17, 22, 23, 18, 1, 'PlaneStress', 1)
ops.element('quad', 15, 18, 23, 24, 19, 1, 'PlaneStress', 1)
ops.element('quad', 16, 19, 24, 25, 20, 1, 'PlaneStress', 1)
ops.fix(1, 1, 1)
ops.fix(6, 1, 1)
ops.fix(11, 1, 1)
ops.fix(16, 1, 1)
ops.fix(21, 1, 1)
ops.equalDOF(2, 22, 1, 2)
ops.equalDOF(3, 23, 1, 2)
ops.equalDOF(4, 24, 1, 2)
ops.equalDOF(5, 25, 1, 2)
ops.timeSeries('Linear', 1)
ops.pattern('Plain', 1, 1)
ops.load(15, 0., -1.)
ops.analysis('Static')
ops.analyze(1)
# - plot model
plt.figure()
opsv.plot_model()
plt.axis('equal')
# - plot deformation
plt.figure()
opsv.plot_defo()
# opsv.plot_defo(sfac, unDefoFlag=1, fmt_undefo='g:')
plt.axis('equal')
# get values at OpenSees nodes
sig_out = opsv.sig_out_per_node()
print(f'sig_out:\n{sig_out}')
# - visu stress map
# !!! select from sig_out: e.g. vmises
# j, jstr = 0, 'sxx'
# j, jstr = 1, 'syy'
# j, jstr = 2, 'sxy'
j, jstr = 3, 'vmis'
# j, jstr = 4, 's1'
# j, jstr = 5, 's2'
# j, jstr = 6, 'alfa'
nds_val = sig_out[:, j]
# print(f'nds_val:\n{nds_val}')
plt.figure()
opsv.plot_stress_2d(nds_val)
plt.xlabel('x [m]')
plt.ylabel('y [m]')
plt.title(f'{jstr}')
# plt.savefig(f'quads_4x4_{jstr}.png')
# for educational purposes show values at integration points and
# nodes which can finally be averaged at nodes
eles_ips_crd, eles_nds_crd, nds_crd, quads_conn = opsv.quad_crds_node_to_ip()
print(f'\neles_ips_crd:\n{eles_ips_crd}')
print(f'\neles_nds_crd:\n{eles_nds_crd}')
print(f'\nnds_crd:\n{nds_crd}')
print(f'\nquads_conn:\n{quads_conn}')
eles_ips_sig_out, eles_nds_sig_out = opsv.sig_out_per_ele_quad()
print(f'\neles_ips_sig_out:\n{eles_ips_sig_out}')
print(f'\neles_nds_sig_out:\n{eles_nds_sig_out}')
sig_out_indx = j # same as j, jstr
fig = plt.figure(figsize=(22./2.54, 18./2.54)) # centimeter to inch conversion
fig.subplots_adjust(left=.08, bottom=.08, right=.985, top=.94)
opsv.plot_mesh_with_ips_2d(nds_crd, eles_ips_crd, eles_nds_crd, quads_conn,
eles_ips_sig_out, eles_nds_sig_out, sig_out_indx)
plt.xlabel('x [m]')
plt.ylabel('y [m]')
# plt.savefig(f'quads_4x4_{jstr}_ips_nds_vals.png')
plt.show()
exit()
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