Normal stiffness for sphere-polyhedra interaction

Asked by Cong Xu on 2019-02-05

Hello,

I have a question on how the normal stiffness between polyhedra and sphere is calculated.

I checked the code files:

In Ig2_Sphere_Polyhedra_ScGeom,
geom->radius1 = geom->radius2 = radius;

In Ip2_FrictMat_PolyhedraMat_FrictPhys,
void Ip2_FrictMat_PolyhedraMat_FrictPhys::go(const shared_ptr<Material>& pp1, const shared_ptr<Material>& pp2, const shared_ptr<Interaction>& interaction){
 const shared_ptr<FrictMat>& mat1 = YADE_PTR_CAST<FrictMat>(pp1);
 const shared_ptr<PolyhedraMat>& mat2 = YADE_PTR_CAST<PolyhedraMat>(pp2);
 Ip2_FrictMat_FrictMat_FrictPhys().go(mat1,mat2,interaction);
}

And in Ip2_FrictMat_FrictMat_FrictPhys(),
 Real Ea = mat1->young;
 Real Eb = mat2->young;
 Real Va = mat1->poisson;
 Real Vb = mat2->poisson;

 //half the harmonic average of the two stiffnesses, when (2*Ri*Ei) is the stiffness of a contact point on sphere "i"
 Real Kn = 2*Ea*Ra*Eb*Rb/(Ea*Ra+Eb*Rb);
 //same for shear stiffness
 Real Ks = 2*Ea*Ra*Va*Eb*Rb*Vb/(Ea*Ra*Va+Eb*Rb*Vb);

I ran an example script, the sphere has radius 0.5, young 1e9, and polyhedra has young 1e10.
The kn between them in the simulation is 5e8, which is not the result by Kn = 2*Ea*Ra*Eb*Rb/(Ea*Ra+Eb*Rb)

Wondering if there is other equation to calculate the kn for the sphere-polyhedra interaction? Thank you!

Best regards,
Cong

The following is the example script.

from yade import polyhedra_utils
import random

polyMat = PolyhedraMat(young=1e10,poisson=.05)
frictMat = FrictMat(young=1e9,poisson=.2)

O.materials.append((polyMat,frictMat))

poly = polyhedra_utils.polyhedra(polyMat,(1,2,3)); poly.wire=False
sph1 = sphere((2,2,2),.5,material=frictMat)
sph2 = sphere((-2,0,0),.5,material=frictMat)
sph3 = sphere((0,-2,0),.5,material=frictMat)
O.bodies.append((
 poly,
 sph1,
 sph2,
 sph3
))

O.engines=[
   ForceResetter(),
   InsertionSortCollider([Bo1_Polyhedra_Aabb(),Bo1_Sphere_Aabb()]),
   InteractionLoop(
      [Ig2_Sphere_Polyhedra_ScGeom()],
      [Ip2_FrictMat_PolyhedraMat_FrictPhys()],
      [Law2_ScGeom_FrictPhys_CundallStrack()],
   ),
   NewtonIntegrator(),
]

O.dt = 1e-7
O.step()

poly.state.blockedDOFs = 'xyzXYZ'
for s in (sph1,sph2,sph3):
 r=random.random
 s.state.vel = -10*(s.state.pos+Vector3(r(),r(),r()))

from yade import qt
qt.View()

Question information

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Last query:
2019-02-05
Last reply:
9 hours ago
Jan Stránský (honzik) said : #1

Hello,
strange, the result is as if both young values were 1e9..
what version of Yade do you use?
cheers
Jan

Cong Xu (congxu) said : #2

Hello Jan,

I'm using Yade 2018.02b.

Cheers
Cong

Launchpad Janitor (janitor) said : #3

This question was expired because it remained in the 'Needs information' state without activity for the last 15 days.