How to measure lateral strain about examples/concrete/triax.py

Asked by Ziyu Wang

Hi,
Due to the needs of laboratory tests, I need to use cylindrical specimens for triaxial compression numerical simulation.
Since TriaxialStressController does not seem to be applicable to cylinder specimens, I refer to the example in [1], but [1] does not mention measuring transverse strain. Can anyone help?
My code as follows:
----------------------------------------
from yade import pack, ymport, plot, utils, export, timing
import numpy as np
import sys

rate=-0.2
damp=0.4
stabilityThreshold=0.001
key='_triax_base_'
young=100e9
name='JCFPM_triax'
compFricDegree=30
poisson=0.4
name='cylinder'
preStress=-20e6
strainRate = -1
OUT=str(preStress)+'_JCFPM_triax'

nw=24
nh=15
rParticle=0.000731723
bcCoeff = 5
width = 0.025
height = 0.05

mn,mx=Vector3(-0.025,-0.025,0),Vector3(0.025,0.025,0.1)
O.materials.append(JCFpmMat(type=1,density=2640,young=young,poisson=poisson,tensileStrength=15e6,cohesion=20e6,frictionAngle=radians(25),label='sphere'))
O.materials.append(JCFpmMat(type=1,label='wall',young=young,poisson=poisson,frictionAngle=radians(25)))

spheres=O.bodies.append(ymport.text('packing-'+name+'.spheres',scale=1,shift=Vector3(0,0,0),material='sphere',color=(0.6,0.5,0.15)))

bot = [O.bodies[s] for s in spheres if O.bodies[s].state.pos[2]<rParticle*bcCoeff]
top = [O.bodies[s] for s in spheres if O.bodies[s].state.pos[2]>height-rParticle*bcCoeff]
vel = strainRate*(height-rParticle*2*bcCoeff)
for s in bot:
 s.shape.color = (1,0,0)
 s.state.blockedDOFs = 'xyzXYZ'
 s.state.vel = (0,0,-vel)
for s in top:
 s.shape.color = Vector3(0,1,0)
 s.state.blockedDOFs = 'xyzXYZ'
 s.state.vel = (0,0,vel)

facets = []
rCyl2 = .5*width / cos(pi/float(nw))
for r in range(nw):
 for h in range(nh):
  v1 = Vector3( rCyl2*cos(2*pi*(r+0)/float(nw)), rCyl2*sin(2*pi*(r+0)/float(nw)), height*(h+0)/float(nh) )
  v2 = Vector3( rCyl2*cos(2*pi*(r+1)/float(nw)), rCyl2*sin(2*pi*(r+1)/float(nw)), height*(h+0)/float(nh) )
  v3 = Vector3( rCyl2*cos(2*pi*(r+1)/float(nw)), rCyl2*sin(2*pi*(r+1)/float(nw)), height*(h+1)/float(nh) )
  v4 = Vector3( rCyl2*cos(2*pi*(r+0)/float(nw)), rCyl2*sin(2*pi*(r+0)/float(nw)), height*(h+1)/float(nh) )
  f1 = facet((v1,v2,v3),color=(0,0,1),material='wall')
  f2 = facet((v1,v3,v4),color=(0,0,1),material='wall')
  facets.extend((f1,f2))

O.bodies.append(facets)
mass = O.bodies[0].state.mass
for f in facets:
 f.state.mass = mass
 f.state.blockedDOFs = 'XYZz'
plot.plots = { 'e':('s',), }

def addForces():
 for f in facets:
  n = f.shape.normal
  a = f.shape.area
  O.forces.addF(f.id,preStress*a*n)

def stopIfDamaged(maxEps=0.001):
 extremum = max(abs(s) for s in plot.data['s'])
 s = abs(plot.data['s'][-1])
 e = abs(plot.data['e'][-1])
 if O.iter < 1000 or s > .5*extremum and e < maxEps:
  return
 if abs(s)/abs(extremum) < 0.8 :
  print('Simulation finished')
  presentcohesive_count = 0
  for i in O.interactions:
          if hasattr(i.phys, 'isCohesive'):
               if i.phys.isCohesive == True:
                   presentcohesive_count+=1
  print('the number of cohesive bond now is:',presentcohesive_count)
  print('Max stress and strain:',extremum,e)
  O.pause()

O.dt=.5*utils.PWaveTimeStep()

newton=NewtonIntegrator(damping=damp)

O.engines=[
 ForceResetter(),
 InsertionSortCollider([Bo1_Sphere_Aabb(aabbEnlargeFactor=1.5,label='is2aabb'),Bo1_Facet_Aabb()]),
 InteractionLoop(
  [Ig2_Sphere_Sphere_ScGeom(interactionDetectionFactor=1.5,label='ss2sc'),Ig2_Facet_Sphere_ScGeom()],
  [Ip2_JCFpmMat_JCFpmMat_JCFpmPhys()],
  [Law2_ScGeom_JCFpmPhys_JointedCohesiveFrictionalPM(recordCracks=True,Key=OUT+'_Crack',label='interactionLaw')]
 ),
 PyRunner(iterPeriod=1,command="addForces()"),
 newton,
 PyRunner(command='plotAddData()',iterPeriod=10),
 PyRunner(iterPeriod=50,command='stopIfDamaged()'),
 VTKRecorder(iterPeriod=2000,initRun=True,fileName='triax/JFFPM-',recorders=['spheres','jcfpm','cracks'],Key=OUT+'_Crack',label='vtk',dead=0),

]

def plotAddData():
 f1 = sum(O.forces.f(b.id)[2] for b in top)
 f2 = sum(O.forces.f(b.id)[2] for b in bot)
 f = .5*(f2-f1)
 s = f/(pi*.25*width*width)
 e = (top[0].state.displ()[2] - bot[0].state.displ()[2]) / (height-rParticle*2*bcCoeff)
 plot.addData(
  i = O.iter,
  s = -s,
  e = -e,
  tc = interactionLaw.nbTensCracks,
  sc = interactionLaw.nbShearCracks,
 )
 plot.saveDataTxt(OUT)

O.step()
ss2sc.interactionDetectionFactor=-1
is2aabb.aabbEnlargeFactor=-1
cohesiveCount = 0
for i in O.interactions:
 if hasattr(i.phys, 'isCohesive'):
  if i.phys.isCohesive == True:
   cohesiveCount+=1
print('the origin total number of cohesive bond is:',cohesiveCount)

plot.plot()
O.run()
----------------------------------------------
Thanks for kindly help!

[1]https://gitlab.com/yade-dev/trunk/-/blob/master/examples/concrete/triax.py

Question information

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Solved by:
Jan Stránský
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Best Jan Stránský (honzik) said :
#1

Hello,

see other discussions on this topic, e.g. [2].
Transverse strain for cylindrical specimen is tricky and can be defined in several ways.

Cheers
Jan

[2] https://answers.launchpad.net/yade/+question/685862

Revision history for this message
Ziyu Wang (ziyuwang1) said :
#2

Thanks Jan Stránský, that solved my question.