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material.py
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material.py
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from abc import ABCMeta, abstractmethod, abstractproperty
from matplotlib.colors import TwoSlopeNorm
import matplotlib.pyplot as plt
import numpy as np
import copy
import concreteCMpy
class Material(object):
def __init__(self) -> None:
super().__init__()
self.sig = 0
self.eps = 0
@abstractmethod
def setTrialStrain(self, trial_strain: float):
pass
@abstractmethod
def commitState(self):
pass
@abstractmethod
def revertToLastCommit(self):
pass
@abstractmethod
def revertToStart(self):
pass
class ConcreteCM(Material):
def __init__(self, fc, ec, Ec, rc, xcrn, ulc, ft, et, rt, xtrn, ult) -> None:
super().__init__()
self.wapperred = concreteCMpy.ConcreteCMpy(
1, fc, ec, Ec, rc, xcrn, ulc, ft, et, rt, xtrn, ult)
self.para = (fc, ec, Ec, rc, xcrn, ulc, ft, et, rt, xtrn, ult)
@property
def getCopy(self):
copyedConcreteCM = ConcreteCM(*self.para)
return copyedConcreteCM
def setTrialStrain(self, trial_strain: float):
self.wapperred.setTrialStrain(trial_strain, 0)
def commitState(self):
self.wapperred.commitState()
return super().commitState()
def revertToLastCommit(self):
self.wapperred.revertToLastCommit()
return super().revertToLastCommit()
def revertToStart(self):
self.wapperred.revertToStart()
return super().revertToStart()
@property
def getStress(self):
return self.wapperred.getStress()
@property
def getStrain(self):
return self.wapperred.getStrain()
class Steel02(Material):
def __init__(self, Fy: float, E0: float, b: float, R0: float, cR1: float, cR2: float, a1: float, a2: float, a3: float, a4: float, sigInit: float) -> None:
super().__init__()
self.Fy = Fy
self.E0 = E0
self.b = b
self.R0 = R0
self.cR1 = cR1
self.cR2 = cR2
self.a1 = a1
self.a2 = a2
self.a3 = a3
self.a4 = a4
self.sigini = sigInit
self.EnergyP = 0
self.konP = 0
self.kon = 0
self.eP = self.E0
self.epsP = 0
self.sigP = 0
self.sig = 0
self.eps = 0
self.e = self.E0
self.epsmaxP = self.Fy/self.E0
self.epsminP = -self.epsmaxP
self.epsplP = 0
self.epss0P = 0
self.sigs0P = 0
self.epssrP = 0
self.sigsrP = 0
# self.epsmax=Fy/E0
# self.epsmin=-self.epsmaxP
# self.epspl=0
# self.epss0=0
# self.sigs0=0
# self.epsr=0
# self.sigr=0
if (self.sigini != 0):
self.epsP = self.sigini/E0
self.sigP = self.sigini
@property
def getCopy(self):
return copy.deepcopy(self)
@classmethod
def new_6_para(cls, Fy: float, E0: float, b: float, R0: float, cR1: float, cR2: float):
return cls(Fy, E0, b, R0, cR1, cR2, 0, 1, 0, 1, 0)
@classmethod
def new_3_para(cls, Fy: float, E0: float, b: float):
return cls.new_6_para(Fy, E0, b, 15, 0.925, 0.15)
@property
def getStress(self):
return self.sig
def setTrialStrain(self, trial_strain: float):
Esh = self.b*self.E0
epsy = self.Fy/self.E0
# 是否考虑初应力
if self.sigini != 0:
epsini = self.sigini/self.E0
self.eps = trial_strain+epsini
else:
self.eps = trial_strain
deps = self.eps-self.epsP
self.epsmax = self.epsmaxP
self.epsmin = self.epsminP
self.epspl = self.epsplP
self.epss0 = self.epss0P
self.sigs0 = self.sigs0P
self.epsr = self.epssrP
self.sigr = self.sigsrP
self.kon = self.konP
# kon 当前材料处于的加载状态 0 1 2 3
if self.kon == 0 or self.kon == 3:
if abs(deps) < 0.00000000000001:
self.e = self.E0
self.sig = self.sigini
self.kon = 3
return 0
else:
self.epsmax = epsy
self.epsmin = -epsy
if deps < 0:
self.kon = 2 # 应变负方向加载
self.epss0 = self.epsmin
self.sigs0 = -self.Fy
self.epspl = self.epsmin
else:
self.kon = 1 # 应变正方向加载
self.epss0 = self.epsmax
self.sigs0 = self.Fy
self.epspl = self.epsmax
elif self.kon == 2 and deps > 0: # 负方向应变卸载
self.kon = 1
self.epsr = self.epsP
self.sigr = self.sigP
if self.epsP < self.epsmin:
self.epsmin = self.epsP
d1 = (self.epsmax-self.epsmin)/(2*self.a4*epsy)
shft = 1+self.a3*d1**0.8
self.epss0 = (self.Fy*shft-Esh*epsy*shft-self.sigr +
self.E0*self.epsr)/(self.E0-Esh)
self.sigs0 = self.Fy*shft+Esh*(self.epss0-epsy*shft)
self.epspl = self.epsmax
elif self.kon == 1 and deps < 0: # 正方向应变卸载
self.kon = 2
self.epsr = self.epsP
self.sigr = self.sigP
if self.epsP > self.epsmax:
self.epsmax = self.epsP
d1 = (self.epsmax-self.epsmin)/(2*self.a2*epsy)
shft = 1.0+self.a1*d1**0.8
self.epss0 = (-self.Fy*shft+Esh*epsy*shft -
self.sigr+self.E0*self.epsr)/(self.E0-Esh)
self.sigs0 = -self.Fy*shft+Esh*(self.epss0+epsy*shft)
self.epspl = self.epsmin
#
xi = abs((self.epspl-self.epss0)/epsy)
R = self.R0*(1-(self.cR1*xi)/(self.cR2+xi))
epsrat = (self.eps-self.epsr)/(self.epss0-self.epsr)
dum1 = 1+abs(epsrat)**R
dum2 = dum1**(1/R)
# 更新当前应力
self.sig = self.b*epsrat+(1-self.b)*epsrat/dum2
self.sig = self.sig*(self.sigs0-self.sigr)+self.sigr
self.e = self.b+(1-self.b)/(dum1*dum2)
self.e = self.e*(self.sigs0-self.sigr)/(self.epss0-self.epsr)
return super().setTrialStrain(trial_strain)
def commitState(self):
self.epsminP = self.epsmin
self.epsmaxP = self.epsmax
self.epsplP = self.epspl
self.epss0P = self.epss0
self.sigs0P = self.sigs0
self.epssrP = self.epsr
self.sigsrP = self.sigr
self.konP = self.kon
self.EnergyP += 0.5*(self.sig+self.sigP)*(self.eps-self.epsP)
self.eP = self.e
self.sigP = self.sig
self.epsP = self.eps
return super().commitState()
def revertToLastCommit(self):
self.epsmin = self.epsminP
self.epsmax = self.epsmaxP
self.epspl = self.epsplP
self.epss0 = self.epss0P
self.sigs0 = self.sigs0P
self.epsr = self.epssrP
self.sigr = self.sigsrP
self.kon = self.konP
self.e = self.eP
return super().revertToLastCommit()
def revertToStart(self):
self.EnergyP = 0
self.konP = 0
self.kon = 0
self.eP = 0
self.sigP = 0
self.sig = 0
self.eps = 0
self.e = self.E0
self.epsmaxP = self.Fy/self.E0
self.epsminP = -self.epsmaxP
self.epsplP = 0
self.epss0P = 0
self.sigs0P = 0
self.epssrP = 0
self.sigsrP = 0
if (self.sigini != 0):
self.epsP = self.sigini/self.E0
self.sigP = self.sigini
return super().revertToStart()
class Concrete02(Material):
def __init__(self, fc: float, epsc0: float, fcu: float, epscu: float, rat: float, ft: float, Ets: float) -> None:
super().__init__()
self.fc = fc
self.epsc0 = epsc0
self.fcu = fcu
self.epscu = epscu
self.rat = rat
self.ft = ft
self.Ets = Ets
self.ecminP = 0
self.deptP = 0
self.ecmin = 0
self.dept = 0
self.eP = 2.0*self.fc/self.epsc0
self.epsP = 0
self.sigP = 0
self.eps = 0
self.sig = 0
self.e = 2.0*self.fc/self.epsc0
@property
def getCopy(self):
return copy.deepcopy(self)
@property
def getStress(self):
return self.sig
def setTrialStrain(self, trial_strain: float):
ec0 = self.fc*2/self.epsc0
self.ecmin = self.ecminP
self.dept = self.deptP
self.eps = trial_strain
deps = self.eps-self.epsP
if abs(deps) < 0.00000000000000001:
return 0
if self.eps < self.ecmin:
self.sig, self.e = self.Compr_Envlp(self.eps)
self.ecmin = self.eps
else:
epsr = (self.fcu-self.rat*ec0*self.epscu)/(ec0*(1-self.rat))
sigmr = ec0*epsr
self.espr = epsr
self.sigmr = sigmr
sigmm, dumy = self.Compr_Envlp(self.ecmin)
er = (sigmm-sigmr)/(self.ecmin-epsr)
ept = self.ecmin-sigmm/er
if self.eps <= ept:
sigmin = sigmm+er*(self.eps-self.ecmin)
sigmax = er*0.5*(self.eps-ept)
self.sig = self.sigP+ec0*deps
self.e = ec0
if self.sig <= sigmin:
self.sig = sigmin
self.e = er
elif self.sig >= sigmax:
self.sig = sigmax
self.e = 0.5*er
else:
epn = ept+self.dept
if(self.eps <= epn):
sicn, self.e = self.Tens_Envlp(self.dept)
if self.dept != 0:
self.e = sicn/self.dept
else:
self.e = ec0
self.sig = self.e*(self.eps-ept)
else:
epstmp = self.eps-ept
self.sig, self.e = self.Tens_Envlp(epstmp)
self.dept = self.eps-ept
return super().setTrialStrain(trial_strain)
def Compr_Envlp(self, epsc: float):
Ec0 = 2.0*self.fc/self.epsc0
ratlocal = epsc/self.epsc0
if (epsc >= self.epsc0):
sigc = self.fc*ratlocal*(2-ratlocal)
Ect = Ec0*(1-ratlocal)
else:
if(epsc > self.epscu):
sigc = (self.fcu-self.fc)*(epsc-self.epsc0) / \
(self.epscu-self.epsc0)+self.fc
Ect = (self.fcu-self.fc)/(self.epscu-self.epsc0)
else:
sigc = self.fcu
Ect = 0.00000000000001
return sigc, Ect
def Tens_Envlp(self, epsc: float):
Ec0 = 2.0*self.fc/self.epsc0
eps0 = self.ft/Ec0
epsu = self.ft*(1/self.Ets+1/Ec0)
if epsc <= eps0:
sigc = epsc*Ec0
Ect = Ec0
else:
if epsc <= epsu:
Ect = -self.Ets
sigc = self.ft-self.Ets*(epsc-eps0)
else:
Ect = 0.0000000000001
sigc = 0
return sigc, Ect
def commitState(self):
self.ecminP = self.ecmin
self.deptP = self.dept
self.eP = self.e
self.sigP = self.sig
self.epsP = self.eps
return super().commitState()
def revertToLastCommit(self):
self.ecmin = self.ecminP
self.dept = self.deptP
self.e = self.eP
self.sig = self.sigP
self.eps = self.epsP
return super().revertToLastCommit()
def revertToStart(self):
self.ecminP = 0
self.deptP = 0
self.eP = 2.0*self.fc/self.epsc0
self.epsP = 0
self.sigP = 0
self.eps = 0
self.sig = 0
self.e = 2.0*self.fc/self.epsc0
return super().revertToStart()
if __name__ == "__main__":
figure = plt.figure()
ax1 = figure.add_subplot(121)
ax2 = figure.add_subplot(122)
# Concrete_check
# concrete=Concrete02(-50,-0.002,-10,-0.01,0.003,10,30/0.002*2/10)
concreteOrigin = ConcreteCM(-45, -0.002, 30000, 1.2, 1.5,
0.67, 5, 0.002, 1.3, 2, 0.57)
concrete = concreteOrigin.getCopy
print("id compare", id(concreteOrigin), "----------", id(concrete))
concrete_stress = []
steel = Steel02.new_3_para(345, 345/0.002, 0.01)
steel_stress = []
basestrain = np.linspace(0, 0.01, 2000)
strain = basestrain
strain = np.concatenate((strain, [i for i in reversed(basestrain)]))
strain = np.concatenate((strain, -basestrain))
strain = np.concatenate((strain, [-i for i in reversed(basestrain)]))
strain = np.concatenate((strain, 2*basestrain))
strain = np.concatenate((strain, [2*i for i in reversed(basestrain)]))
strain = np.concatenate((strain, -2*basestrain))
strain = np.concatenate((strain, [-2*i for i in reversed(basestrain)]))
strain = np.concatenate((strain, 3*basestrain))
strain = np.concatenate((strain, [3*i for i in reversed(basestrain)]))
for i in strain:
concrete.setTrialStrain(-i)
concrete.commitState()
concrete_stress.append(concrete.getStress)
steel.setTrialStrain(i)
steel.commitState()
steel_stress.append(steel.getStress)
ax1.plot(-strain, concrete_stress)
ax1.set_title('concrete')
ax2.plot(strain, steel_stress)
ax2.set_title('steel')
plt.show()