# gran cohesion sjkr model

## Syntax

    cohesion sjkr

- zero or more keyword/value pairs may be appended to the end (after all models are specified)

    tangential_reduce values = 'on' or 'off'
      on = tangential model does not see normal force computed by this model
      off = tangential model does see normal force computed by this model

## Description

This model can be used as part of pair gran and fix wall/gran

The simplified JKR - Johnson-Kendall-Roberts (SJKR) model adds an additional normal force contribution. If two particle are in contact, it adds an additional normal force tending to maintain the contact, which writes

F = k A,

where A is the particle contact area and k is the cohesion energy density in J/m3. For sjkr, the sphere-sphere contact area is calculated as (http://mathworld.wolfram.com/Sphere-SphereIntersection.html)

A = Pi/4 * ((dist-Ri-Rj)*(dist+Ri-Rj)*(dist-Ri+Rj)*(dist+Ri+Rj) )/(dist*dist)

where dist is the distance between the particle centers.

If you are using the SJKR model, you must also define the cohesion energy density:

    fix id all property/global cohesionEnergyDensity peratomtypepair n_atomtypes value_11 value_12 .. value_21 value_22 .. .
        (value_ij=value for the cohesion energy density (in Energy/Length3 units) between atom type i and j; n_atomtypes is the number of atom types you want to use in your simulation)

Warning

You have to use atom styles beginning from 1, e.g. 1,2,3,...

The optional keyword tangential_reduce defines if the tangential force model should “see” the additional normal force excerted by this model. If it is ‘off’ (which is default) then the tangential force model will be able to transmit a larger amount of tangential force If tangential_reduce = ‘on’ then the tangential model will not take the normal force from this model into account, typically leading to a lower value of tangential force (via the Coulomb friction limit)

## Restrictions

The cohesion model has been derived for the Hertzian Style, it may note be appropriate for the Hookean styles.

It is not available for atom_style superquadric

Coarse-graining information:

Using `coarsegraining` in combination with this command should lead to statistically equivalent dynamics and system state.

Note

`Coarsegraining` may or may not be available in LIGGGHTS(R)-PUBLIC.

## Default

tangential_reduce = ‘off’