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[Fabio Caruso <question696028@xxxxxxxxxxxxxxxxxxxxx>]

New question #696028 on Yade:
https://answers.launchpad.net/yade/+question/696028

Hi all,
I'm new to Yade. I have a question regarding the normalCohesion value in the yade.wrapper.CohFrictMath
I've written a simple code, with two nodes connected by a gridconnection. I've applied  a permanent force on the nodes along the x-direction (like a normal tensile test)
How can I determine the maximum applied force at which the cohesive link breaks?
In the following code the normalCohesion value is set to 1e5 and if Fapplied<4 the cohesive link doesn't break, when Fapplied>5 the choesive link breaks. 
Is there an analytical way to compute the Fapplied that breaks the cohesive link?

# encoding: utf-8
"""
Tensile test with 2 nodes and one gridconnection
"""
from builtins import zip
from yade import qt
from yade.gridpfacet import *
from numpy import linspace
from yade import plot

#Materials
O.materials.append(CohFrictMat(young=8e5,poisson=0.3,density=4e3,frictionAngle=radians(30),normalCohesion=1e5,shearCohesion=1e5,momentRotationLaw=True,label='gridNodeMat'))
O.materials.append(CohFrictMat(young=8e5,poisson=0.3,density=4e3,frictionAngle=radians(30),normalCohesion=1e5,shearCohesion=1e5,momentRotationLaw=True,label='gridCoMat'))

### Engines need to be defined first since the function gridConnection creates the interaction
O.engines=[
	ForceResetter(),
	InsertionSortCollider([
		Bo1_Sphere_Aabb(),
		Bo1_GridConnection_Aabb(),
	]),
	InteractionLoop(
		# Geometric interactions
		[
          Ig2_GridNode_GridNode_GridNodeGeom6D(),
          Ig2_GridConnection_GridConnection_GridCoGridCoGeom(),
          Ig2_Sphere_GridConnection_ScGridCoGeom(),	# used for the cohesive sphere-cylinder interaction
        ],
		[
		# Interaction phusics
          Ip2_CohFrictMat_CohFrictMat_CohFrictPhys(setCohesionNow=True,setCohesionOnNewContacts=False),
        ],
		# Interaction law
		[
          Law2_ScGeom6D_CohFrictPhys_CohesionMoment(),
          Law2_ScGridCoGeom_CohFrictPhys_CundallStrack(),
          Law2_GridCoGridCoGeom_FrictPhys_CundallStrack(),# used for the cohesive sphere-cylinder interaction
        ]
	),
	NewtonIntegrator(gravity=(0,0,0),damping=0,label='newton'),
	PyRunner(command='addPlotdata()',iterPeriod=100),
]

#Timestep
O.dt=5e-07

rCyl=0.01
nL=2
L=0.3
### Create the two nodes :
nodesIds=[]
for i in linspace(0,L,nL):
  nodesIds.append( O.bodies.append(
    gridNode([i,0,0],rCyl,wire=True,fixed=False,material='gridNodeMat') ) )

### Now create connection between the nodes
for i,j in zip( nodesIds[:-1], nodesIds[1:]):
  O.bodies.append( gridConnection(i,j,rCyl,
                                  material='gridCoMat'
                                  ) )

# rename the two nodes
s1 = O.bodies[0]
s2 = O.bodies[1]
#Define what you want to plot
plot.plots = {'i': 'eps'}

#Apply 2 normal force along the x direction on the nodes (Simulating tensile stress)

Fapplied = 4
O.forces.setPermF(int(nodesIds[0]), (-Fapplied, 0, 0))
O.forces.setPermF(int(nodesIds[-1]), (Fapplied, 0, 0))


def addPlotdata():
    global eps,Ttot
    deltaL = s1.state.pos[0]-s2.state.pos[0]
    eps = deltaL/L #strain along the direction of the applied stress
    plot.addData(i=O.iter, eps=eps)


plot.plot()
qt.View()
O.saveTmp()


O.run()

O.stopAtIter=int(0.5/O.dt)


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