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You are here: Using the DHR/AR > DHR/AR Accessories > Tribology Option for the DHR/AR Rheometer > Tribo-Rheometry Test Geometries

Tribo-Rheometry Test Geometries

In this topic
General Information
Installation and Loading Samples
Possible Tribo-Rheometry Geometry Configurations
Equations

General Information

The tribo-rheometry geometries can be used to quantify the Coefficient of Friction (CoF) between two substrates with or without a lubricant. The tribo-rheometry setup can be configured with the following 4 geometries:

  1. Ring on Plate – Ideal for testing soft substrates, under lubricated and dry conditions
  2. Three Balls on Plate – Standard configuration for dry and lubricated friction
  3. Ball on Three Plates – Standard configuration for dry and lubricated friction
  4. Ball on Three Balls – Used for lubrication studies

Applicable Environmental Systems

DHR: ETC and Peltier Plate

Installing the Geometry and Loading the Sample

Installing the geometry

Follow these instructions to install the geometry. Refer to the section Possible Tribo-Rheometry Geometry Configurations for geometry component identification and assembly.

  1. Use the Up button on the instrument keypad or Raise the head icon in the Gap Control Panel to raise the head to the loading position.
  2. Install the lower Smart Swap base and upper geometry.

See also

Fitting a Geometry on the DHR

  1. If this is the first time you are using this geometry, use the Geometry Wizard to configure and define the parameters for this geometry. Otherwise, select the appropriate geometry from the Experiment tab > Geometry.
  2. After installing the test fixture, raise the stage to provide room to load the sample.

Loading the Sample

The sample loading procedure depends on the Tribology fixture to be installed. For the Ring on Plate and Three Balls on Plate geometries, the substrate is usually attached to the bottom plate or cup using an adhesive.For most applications, a double sided pressure sensitive adhesive can be used. For the Ball on Three Plates, the 3 plates are the substrate. This fixture is designed to work with stiff substrates. The substrate has to be cut into rectangular samples (16x6 mm2) that are 1–2 mm thick. The Ball on Three Balls geometry is used to study the lubrication of materials. Note that the stainless steel balls can be exchanged with spheres of other materials if desired.

  1. Raise the stage with the upper test fixture into the loading position. If testing with a lubricant, this will provide room to add the lubricant onto the lower substrate.
  2. Zero the normal force from the Axial Force tab on the Instrument panel on the DHR.
  3. Manually lower the upper test fixture to make contact with the lower test fixture. Use the Axial force control on the Instrument control panel to apply the desired axial force.
  4. Close the environmental system if appropriate and set the desired test temperature from the Environmental tab on the Instrument panel.

Possible Tribo-Rheometry Geometry Configurations

The tribo-rheometry geometries are set up by combining specific parts of the tribology testing kit. In this section, the assemblies of the four basic tribo-rheometry geometries are shown for :

a DHR configured with the Peltier plate and Environmental Test Chamber (ETC).

Note that some parts are instrument specific; other components that are specific to the test geometry are the same for all instruments.

In order to make sure that the load (axial force) is distributed evenly on the contact surface, a flexible coupling is used on the upper test fixture. Two couplings are provided, a soft Aluminum and a stiff Stainless Steel coupling.

The maximum permissible axial load for the soft coupling is 20 N.

Do not use the stiff coupling for axial loads below 6 N.

Ring on Plate

The Ring on Plate test fixture geometry consists of a 32 mm ring and a plate with the substrate attached. The ring can be mounted into the holder in two ways; either as a full ring or as a half ring (the ring is interrupted in 3 sections such that only half of the ring is in contact with the substrate). For testing with lubricants, the lower plate can be replaced with a cup.

The ring's dimensions (OD = 32 mm, ID = 29 mm) allows for a well-defined contact surface permitting the computation of the friction and normal stress. Because of the large contact surface, uniform contact with the substrate along the circumference can be a problem for stiff substrates– the ring is, therefore, best suited for softer substrates. For lubrication testing, it is advantageous to use the half ring for better lubrication of the contact surface.


Configurations
DHR ETC Configuration DHR Peltier Configuration

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Three Balls on Plate

The Three Balls on Plate geometry consists of 3 spheres arranged on a circle of 15 mm radius and a lower plate with the substrate attached. For testing with lubricants, the lower plate can be replaced with a cup.

The spheres have a diameter of 5/16” (7.9375 mm) and provide a point contact with the substrate. The Three Balls on Plate geometry is therefore well suited for hard and stiff substrates. Because of the point contact between the substrates, the contact surface depends on the moduli of the substrate and the spheres; as a result the stresses are difficult to compute. Therefore only friction force and load are calculated for this geometry. However, you can manually edit the stress and normal stress geometry constants (File Manger > Geometries > Edit selected geometry) to calculate friction stress and normal stress if desired.


Configurations
DHR ETC Configuration DHR Peltier Configuration

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Ball on Three Plates

The Ball on Three Plates test geometry consists of a sphere on top of three plates on the bottom that are arranged in a circle and oriented at 45°. The lower plates are the test substrate and are held using a supporting frame.

The sphere has a diameter of 1/2” (1.27 mm) and the three plates are 16x6 mm2in size. The sphere provides a point contact with the 3 substrate plates. The Ball on Three Plates geometry is designed for hard and stiff substrates. Because of the point contact, the contact surface depends on the moduli of the plates and the sphere; as a result, the stresses are difficult to compute. Therefore only friction force and load are calculated for this geometry. However, you can manually edit the stress and normal stress geometry constants (File Manger >Geometries > Edit selected geometry) to calculate friction stress and normal stress if desired. The Ball on Three Plates geometry requires only a small amount of substrate and lubricant.


Configurations
DHR ETC Configuration DHR Peltier Configuration

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Ball on Three Balls

The Ball on Three Balls test geometry consists of a ball as the upper substrate and three balls arranged in a circle as the lower substrate. The 3 lower spheres are held in place using a supporting frame. An important application of this geometry is for testing the lubricity of asphalt.

The spheres have a diameter of 1/2” (1.27 mm). The upper ball provides a point contact with the 3 lower balls. Ball on Three Balls tribo-rheometry geometry is designed for lubrication testing. Because of the point contact between the substrates, the contact surface depends on the modulus of the spheres; as a result, the stresses are difficult to compute. Therefore only friction force and load are calculated for this geometry. However,you can manually edit the stress and normal stress geometry constants (File Manger > Geometries > Edit selected geometry) to calculate friction stress and normal stress if desired.


Configurations
DHR ETC Configuration DHR Peltier Configuration

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Equations

Ring on Plate

Actual Load FL and Normal Stress sN:

Friction Force FF and Friction Stress sF:

Sliding Speed vs:

Friction Coefficient µ:

Gumbel number Gu:

Dimensions

Ring r1=0.0145m; r2=0.016m

R= 0.0152

half/full: 0.5/1

Geometry constants

 

 

6957.5/13915.2

65.415
1

Variables

FN = normal force [N]

M = torque {N.m]

FL = actual load [N]

FF = friction force [N]

d = wall thickness [m]

r1, r2 Ring radius [m]

ns= active ring section (full ring=1; half ring=0.5)

Strain rate = sliding speed [m/s]

Strain = sliding distance [m]

 

Three Balls on Plate

Actual Load FL:

Friction Force FF:

Sliding Speed vs:

Friction Coefficient µ:

Dimensions

Sphere radius: r=0.00635m

arm d: 0.015

Geometry constants

 

 

0.015

66.66
1

Variables

FN = normal force [N]

M = torque {N.m]

FL = actual load [N]

FF = friction force [N]

d = arm [m]

Strain rate = sliding speed [m/s]

Strain = sliding distance [m]

 

Ball on Three Plates

Actual Load FL:

Friction Force FF:

Sliding Speed vs:

Friction Coefficient µ:

Dimensions

Sphere radius: r=0.00635m

arm d: 0.00449 b=45°

Geometry constants

 

 

0.00449

222.718
1

Variables

FN = normal force [N]

M = torque {N.m]

FL = actual load [N]

b=Angle [rad]

FF = friction force [N]

d = arm [m]

r=sphere radius p [m]

Strain rate = sliding speed [m/s]

Strain = sliding distance [m]

 

Ball on Three Balls

Actual Load FL:

Friction Force FF:

Sliding Speed vs:

Friction Coefficient µ:

Dimensions

Sphere radius: r=0.00635m

arm d: 0.007398 b=35.2644°

Geometry constants

 

 

0.007332

136.382
1.22474

Variables

FN = normal force [N]

M = torque {N.m]

FL = actual load [N]

b=Angle [rad]

FF = friction force [N]

d = arm [m]

r=sphere radius p [m]

Strain rate = sliding speed [m/s]

Strain = sliding distance [m]

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