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failure_criteria_graph.py
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failure_criteria_graph.py
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# -*- coding: utf-8 -*-
import matplotlib.pyplot as pl
import numpy as np
import logging
from config import *
import random
def plot_failure_criteria(id, sigma3, sigma2, sigma1, phi, C0):
# sigma3>sigma2>sigma1
if sigma3 == 0:
return False
fig = pl.figure()
ax = fig.add_subplot(111,aspect='equal')
# ax = fig.add_subplot(111)
# диапазон X1 от точки пересечения прямой с осью х, точка (T0,0)
X1 = range(int(-float(C0) / np.tan(phi)), int(sigma3), int(sigma3 / 20 + 1))
Y1 = map(lambda x: np.tan(phi) * x + C0, X1)
ax.plot(X1, Y1, color='red')
# (x-x0)**2+(y-y0)**2=r**2
# y=y0+(r**2-(x-x0)**2)**0.5
if sigma3 > sigma1:
logging.info("sigma3>sigma1: True")
else:
logging.info("sigma3>sigma1: False")
r = (sigma3 - sigma1) / 2.0
# print sigma3, " ", sigma2, " ", sigma1
# print "\tr: ", r
x0 = sigma1 + r
y0 = 0
X2 = range(int(sigma1), int(sigma3), int(sigma3 / 1000 + 1))
# Y2 = map(lambda x: y0 + (r ** 2 - (x - x0) ** 2) ** 0.5, X2)
Y2 = [y0+(r ** 2 - (x - x0) ** 2) ** 0.5 for x in X2]
ax.plot(X2, Y2)
# circle center
ax.scatter(x0,y0,color="red")
# left point
ax.scatter(sigma1, 0)
# right point
ax.scatter(sigma3, 0,color="green")
#highest point
ax.scatter(sigma1 + r, r, color="yellow")
# UCS
ax.scatter(0, C0, color="gray")
# Ax+By+C=0
A = -np.tan(phi)
B = 1
C = -C0
logging.info("phi="+str(phi)+":\t"+ str(phi*180/np.pi))
logging.info("C0="+str(C0))
dist = np.abs(A * x0 + B * y0 + C)/(A*A+B*B)**0.5
logging.info("\tdist="+str(dist/100000))
logging.info("\tr="+str( r/100000))
logging.info("\tlinear condition:")
# r>=d
logging.info("\t"+str((sigma3-sigma1)/2-np.abs(-1*(np.tan(phi)*(sigma1+sigma3)/2+C0)/(np.tan(phi)**2+1)**0.5) <= 0))
q = (1 + np.sin(phi)) / (1 - np.sin(phi))
#CoulombMohr
# Y3 = [q*x+C0 for x in X1]
# ax.plot(X1,Y3, marker='^')
if (dist <= r):
ans = "Failure occurs"
else:
ans = "Failure does not occur"
logging.info("\t\t\t"+ans)
fig.text(
0.4, 0.1,
ans,
horizontalalignment='left',
fontsize=15,
transform=ax.transAxes
)
pl.savefig(output_dir+"/failure_qt/" + str(id) + ".png", dpi=200)
# pl.savefig("./output/failure_qt/" + str(id) + ".png", dpi=200)
# pl.show()
pl.close()
def ro_plot_z(z_mas, ro_mas, layers_data, criteria_list_names):
# logging.info(z_mas)
# logging.info(ro1_vector)
import matplotlib.ticker
fig = pl.figure()
# ax = fig.add_subplot(111)
ax = fig.add_subplot(111, aspect='equal')
pl.title(r'$\rho(z)$', size=14)
pl.xlabel(str(RO_MIN)+"\t"+r'$\rho$'+"\t"+str(RO_MAX), size=14)
pl.ylabel('z', size=14)
formatter = matplotlib.ticker.NullFormatter()
# Установка пустого форматера для оси X
ax.xaxis.set_major_formatter(formatter)
# отрисовываем график по каждому критерию
ro_mas_array = np.array(ro_mas)
for criteria_id, criteria_name in enumerate(criteria_list_names):
if criteria_id == 0:
# ax.plot(ro_mas_array[:, criteria_id], z_mas, label=criteria_name, marker='^')
# logging.info("criterion_id=0")
ax.plot(ro_mas_array[:, criteria_id], z_mas, label=criteria_name)
else:
ax.plot(ro_mas_array[:, criteria_id], z_mas, label=criteria_name)
# границы слоев
x_vector = np.linspace(RO_MIN, RO_MAX, 10)
for layer in layers_data:
ax.plot(x_vector, np.linspace(-layer.z, -layer.z, 10), linestyle='--', color="gray")
# ax.plot(ro2_vector, np.linspace(-layer.z, -layer.z, 10), linestyle='--', color="gray")
# pl.legend(loc='upper left')
# 'best'
# 'upper right'
# 'upper left'
# 'lower left'
# 'lower right'
# 'right'
# 'center left'
# 'center right'
# 'lower center'
# 'upper center'
# 'center'
# pl.savefig("./output/ro_plot.png", dpi=200)
pl.savefig(output_dir+"/ro_plot.png", dpi=200)
pl.legend(loc='upper left')
pl.savefig(output_dir+"/ro_plot_legend.png", dpi=200)
# pl.savefig("./output/ro_plot_legend.png", dpi=200)
# pl.show()
def plot_i_ro(i_mas,ro_mas, criteria_list_names):
fig = pl.figure()
ax = fig.add_subplot(111)
# ax = fig.add_subplot(111, aspect='equal')
pl.title(r'$\rho(i)$', size=14)
pl.xlabel(r'i', size=14)
pl.ylabel(r'$\rho$', size=14)
# отрисовываем график по каждому критерию
ro_mas_array = np.array(ro_mas)
for criteria_id, criteria_name in enumerate(criteria_list_names):
ax.plot([i*180/np.pi for i in i_mas],ro_mas_array[:, criteria_id], label=criteria_name)
# границы слоев
# x_vector = np.linspace(RO_MIN, RO_MAX, 10)
# for layer in layers_data:
# ax.plot(x_vector, np.linspace(-layer.z, -layer.z, 10), linestyle='--', color="gray")
# # ax.plot(ro2_vector, np.linspace(-layer.z, -layer.z, 10), linestyle='--', color="gray")
# pl.legend(loc='upper left')
# 'best'
# 'upper right'
# 'upper left'
# 'lower left'
# 'lower right'
# 'right'
# 'center left'
# 'center right'
# 'lower center'
# 'upper center'
# 'center'
pl.savefig(output_dir+"/plot_i_ro.png", dpi=200)
# pl.savefig("./output/plot_i_ro.png", dpi=200)
pl.legend(loc='lower right')
pl.savefig(output_dir+"/plot_i_ro_legend.png", dpi=200)
# pl.savefig("./output/plot_i_ro_legend.png", dpi=200)
# pl.show()
def plot_ro_k(raw_layers_data):
fig = pl.figure()
# ax = fig.add_subplot(111)
ax = fig.add_subplot(111, aspect='equal')
import matplotlib.ticker
formatter = matplotlib.ticker.NullFormatter()
# Установка форматера для оси X
ax.xaxis.set_major_formatter(formatter)
pl.title(r'$\rho_k(z)$', size=14)
pl.xlabel(r'$\rho_k$', size=14)
pl.ylabel('z', size=14)
X_ro_k = [float(ro_k) * 1000 for ro_k in raw_layers_data.ro_k]
Y_ro_k = [-1 * z for z in raw_layers_data.z]
ax.plot(X_ro_k, Y_ro_k)
# pl.legend(loc='upper left')
pl.savefig(output_dir+"/ro_k_plot.png", dpi=200)
# pl.savefig("./output/ro_k_plot.png", dpi=200)
# pl.show()
def prepare_one_ax(ax, pl, theta_grid, r_grid, data, title, title_size, Rw, title_position_x, title_position_y):
ax.set_theta_offset(np.pi / 2)
ax.set_theta_direction(-1)
pl.pcolormesh(theta_grid, r_grid, data)
pl.colorbar(pad=0.1)
# pl.clim(minval, maxval)
ax.set_thetagrids(np.array([0, 90, 180, 270]), ['0', '90', '180', '270'])
# ax.set_thetagrids(np.array([0, 90, 180, 270]), ['0', '90', '180', '270'],fontsize=8)
# ax.set_rgrids(radii=[Rw * 1, Rw * 2], labels=['1', ' 2 '], angle=90, fontsize=15)
# ax.set_rgrids(radii=[Rw * 1, Rw * 2], labels=['$R_w$', '$2R_w$'], angle=90, fontsize=8)
ax.set_rgrids(radii=[Rw * 1, Rw * 2], angle=90, fontsize=8)
# ax.set_rgrids(radii=[Rw * 1, Rw * 2], labels=['', ''], angle=90, fontsize=8)
ax.grid(True, color='black', linestyle='-', linewidth=1, axis='y')
pl.text(title_position_x, title_position_y,
title,
horizontalalignment='left',
fontsize=title_size,
transform=ax.transAxes)
# ax.set_title(title)
def make_form_plot(theta_grid, r_grid, cur_section_cyl, j):
Rw = cur_section_cyl.Rw
i = cur_section_cyl.i
pw = cur_section_cyl.pw
z = cur_section_cyl.z
title1 = r'$\sigma_r$'
title2 = r'$\sigma_\theta$'
title3 = r'$\sigma_z$'
title4 = r'$\tau_{r\theta}$'
title5 = r'$\tau_{\theta z}$'
title6 = r'$\tau_{rz}$'
s_r_data = cur_section_cyl.s_r
s_theta_data = cur_section_cyl.s_theta
s_z_data = cur_section_cyl.s_z
t_r_theta_data = cur_section_cyl.t_r_theta
t_theta_z_data = cur_section_cyl.t_theta_z
t_r_z_data = cur_section_cyl.t_r_z
fig = pl.figure()
title_size = 20
title_position_x = -0.6
title_position_y = 1
ax1 = pl.subplot(331, polar=True)
prepare_one_ax(ax1, pl, theta_grid, r_grid, s_r_data, title1, title_size, Rw, title_position_x, title_position_y)
ax2 = pl.subplot(334, polar=True)
prepare_one_ax(ax2, pl, theta_grid, r_grid, s_theta_data, title2, title_size, Rw, title_position_x, title_position_y)
ax3 = pl.subplot(337, polar=True)
prepare_one_ax(ax3, pl, theta_grid, r_grid, s_z_data, title3, title_size, Rw, title_position_x, title_position_y)
ax4 = pl.subplot(333, polar=True)
prepare_one_ax(ax4, pl, theta_grid, r_grid, t_r_theta_data, title4, title_size, Rw, title_position_x,
title_position_y)
ax5 = pl.subplot(336, polar=True)
prepare_one_ax(ax5, pl, theta_grid, r_grid, t_theta_z_data, title5, title_size, Rw, title_position_x,
title_position_y)
ax6 = pl.subplot(339, polar=True)
prepare_one_ax(ax6, pl, theta_grid, r_grid, t_r_z_data, title6, title_size, Rw, title_position_x, title_position_y)
fig.text(
0.45, 0.1,
"i=" + str(round(i * 180 / np.pi, 2)) + "\npw=" + str(round(pw / 100000, 2)) + " atm\n" + str(z) + " m",
horizontalalignment='left',
fontsize=15,
transform=ax1.transAxes
)
fig.set_label("Main graph")
# pl.savefig("./tmp/111.png", dpi=200)
# pl.legend()
# pl.show()
# pl.close()
return fig
def make_stress_plot(theta_grid, r_grid, cur_section_cyl, j):
Rw = cur_section_cyl.Rw
i = cur_section_cyl.i
pw = cur_section_cyl.pw
z = cur_section_cyl.z
title1 = r'$\sigma_r$'
title2 = r'$\sigma_\theta$'
title3 = r'$\sigma_z$'
title4 = r'$\tau_{r\theta}$'
title5 = r'$\tau_{\theta z}$'
title6 = r'$\tau_{rz}$'
s_r_data = cur_section_cyl.s_r
s_theta_data = cur_section_cyl.s_theta
s_z_data = cur_section_cyl.s_z
t_r_theta_data = cur_section_cyl.t_r_theta
t_theta_z_data = cur_section_cyl.t_theta_z
t_r_z_data = cur_section_cyl.t_r_z
fig = pl.figure()
title_size = 20
ax = pl.subplot(331, polar=True)
title_position_x = -0.6
title_position_y = 1
prepare_one_ax(ax, pl, theta_grid, r_grid, s_r_data, title1, title_size, Rw, title_position_x, title_position_y)
ax = pl.subplot(334, polar=True)
prepare_one_ax(ax, pl, theta_grid, r_grid, s_theta_data, title2, title_size, Rw, title_position_x, title_position_y)
ax = pl.subplot(337, polar=True)
prepare_one_ax(ax, pl, theta_grid, r_grid, s_z_data, title3, title_size, Rw, title_position_x, title_position_y)
ax = pl.subplot(333, polar=True)
prepare_one_ax(ax, pl, theta_grid, r_grid, t_r_theta_data, title4, title_size, Rw, title_position_x, title_position_y)
ax = pl.subplot(336, polar=True)
prepare_one_ax(ax, pl, theta_grid, r_grid, t_theta_z_data, title5, title_size, Rw, title_position_x, title_position_y)
ax = pl.subplot(339, polar=True)
prepare_one_ax(ax, pl, theta_grid, r_grid, t_r_z_data, title6, title_size, Rw, title_position_x, title_position_y)
fig.text(
0.45, 0.1,
"i=" + str(round(i * 180 / np.pi, 2)) + "\npw=" + str(round(pw / 100000, 2)) + " atm\n" + str(z) + " m",
horizontalalignment='left',
fontsize=15,
transform=ax.transAxes
)
fig.set_label("Main graph")
pl.savefig(output_dir+"/stress_at_point/" + str(j) + '.png', dpi=200)
# pl.savefig('./output/' + str(j) + '.png', dpi=200)
# pl.legend()
# pl.show()
pl.close()
def plot_diagram_ro_i(ro_mas, i_mas, criteria_list_names):
title = r'$\rho(i)$'
fig = pl.figure()
title_size = 20
ro_theta_vector = np.linspace(0, 2 * np.pi, 100)
ro_r_vector = i_mas
ro_r_grid, ro_theta_grid = np.meshgrid(ro_r_vector, ro_theta_vector)
ro_s_r_data = np.zeros(ro_theta_grid.shape)
for id, i in enumerate(ro_r_vector):
ro_s_r_data[:,id] = i
ax = pl.subplot(111, polar=True)
title_position_x = -0.6
title_position_y = 1
ax.set_theta_offset(np.pi / 2)
ax.set_theta_direction(-1)
pl.pcolormesh(ro_theta_grid, ro_r_grid, ro_s_r_data)
pl.colorbar(pad=0.1)
# pl.clim(minval, maxval)
ax.set_thetagrids(np.array([0, 90, 180, 270]), ['0', '90', '180', '270'])
# ax.set_thetagrids(np.array([0, 90, 180, 270]), ['0', '90', '180', '270'],fontsize=8)
# ax.set_rgrids(radii=[Rw * 1, Rw * 2], labels=['1', ' 2 '], angle=90, fontsize=15)
# ax.set_rgrids(radii=[Rw * 1, Rw * 2], labels=['$R_w$', '$2R_w$'], angle=90, fontsize=8)
ax.set_rgrids(radii=[Rw * 1, Rw * 2], angle=90, fontsize=8)
# ax.set_rgrids(radii=[Rw * 1, Rw * 2], labels=['', ''], angle=90, fontsize=8)
ax.grid(True, color='black', linestyle='-', linewidth=1, axis='y')
pl.text(title_position_x, title_position_y,
title,
horizontalalignment='left',
fontsize=title_size,
transform=ax.transAxes)
# prepare_one_ax(ax, pl, ro_theta_grid, ro_r_grid, s_r_data, title, title_size, Rw, title_position_x, title_position_y)
# fig.text(
# 0.45, 0.1,
# "pw=" + str(round(pw / 100000, 2)) + " atm\n" + str(z) + " m",
# horizontalalignment='left',
# fontsize=15,
# transform=ax.transAxes
# )
fig.set_label("Ro(i) diagram")
pl.savefig(output_dir+"/stress_at_point/ro(i)" + str(id) + '.png', dpi=200)
# pl.savefig('./output/' + str(j) + '.png', dpi=200)
# pl.legend()
# pl.show()
pl.close()
def draw_points(raw_data):
fig = pl.figure()
ax = fig.add_subplot(111, aspect='equal')
import matplotlib.ticker
formatter = matplotlib.ticker.NullFormatter()
# Установка форматера для оси X
ax.xaxis.set_major_formatter(formatter)
x_vector = list(raw_data.x)
z_vector = list(-1 * raw_data.z)
pl.xlabel(str(min(raw_data.x)) + " " + " x " + " " + str(max(raw_data.x)), size=14)
pl.ylabel('z', size=14)
ax.plot(x_vector, z_vector, marker='^', linestyle='--')
# ax.plot(x_vector, z_vector, marker='^', linestyle='--', markevery=(0, 5))
text1 = pl.text(0.5, 0.44, u'Trajectory')
ax.grid(True) # линии вспомогательной сетки
pl.savefig(output_dir+'/points.png', dpi=300)
# pl.savefig('./output/points.png', dpi=300)
# pl.show()
pl.close()
if __name__=='__main__':
print 10 ** 5
sigma3 = 2817 * 100000
sigma2 = 2217 * 100000
sigma1 = -1000 * 100000
C0 = 20 * 1000000
phi = 43 * np.pi / 180
plot_failure_criteria(10, sigma3, sigma2, sigma1, phi, C0)
# plotFailureCriteria(10, 0, 0, 0, phi, C0)
ro1_vector = np.linspace(800, 900, 100)
ro2_vector = np.linspace(900, 1100, 100)
ro3_vector = np.linspace(1200, 1300, 100)
zMas = np.linspace(0, -2636, 100)
ro_plot_z(zMas, ro1_vector, ro2_vector, ro3_vector)