nu = 0.27 # Poison's modulus
q = 100.0 # uniformly distributed load
n = 51 # nodes in the first direction of computational domain
m = 21 # nodes in the second direction of computational domain
d = plane_strain_isotropic(e, nu)
print(d)
(nodes, elements) = rectangular_quads(x_count=n,
y_count=m,
x_origin=0.0,
y_origin=-c,
width=l,
height=2.0 * c)
stiffness = assembly_quads_stress_strain(nodes=nodes,
elements=elements,
thickness=1.0,
elasticity_matrix=d)
print("Evaluating force...")
def force_func(node):
if abs(node[0]) < 0.0000001:
return array([0.0, -q / m])
else:
return array([0.0, 0.0])
force = nodal_force(nodes=nodes, freedom=2, force_function=force_func)
print("Evaluating boundary conditions...")
for i in range(len(nodes)):
if abs(l - nodes[i, 0]) < 0.0000001:
from mesh2d import draw_vtk
from assembly2d import assembly_quads_stress_strain
from stress_strain_matrix import plane_strain_isotropic
from numpy import zeros
from scipy.sparse.linalg import spsolve
l = 10.0 # beam half-length
c = 2.0 # beam half-height
e = 203200.0 # Young's modulus
nu = 0.27 # Poison's modulus
q = 100.0 # uniformly distributed load
n = 51 # nodes in the first direction of computational domain
m = 21 # nodes in the second direction of computational domain
d = plane_strain_isotropic(e, nu)
print(d)
(nodes, elements) = rectangular_quads(x_count=n, y_count=m, x_origin=0.0, y_origin=-c, width=l, height=2.0 * c)
stiffness = assembly_quads_stress_strain(nodes, elements, d)
dimension = stiffness.shape[0]
force = zeros(dimension)
for i in range(len(nodes)):
if abs(nodes[i, 0]) < 0.0000001:
force[2 * i + 1] = -q / m
for i in range(len(nodes)):
if abs(l - nodes[i, 0]) < 0.0000001:
for j in range(dimension):
if stiffness[2 * i, j] != 0.0:
stiffness[2 * i, j] = 0.0
if stiffness[j, 2 * i] != 0.0:
stiffness[j, 2 * i] = 0.0
if stiffness[2 * i + 1, j] != 0.0:
stiffness[2 * i + 1, j] = 0.0
if stiffness[j, 2 * i + 1] != 0.0: