[PDF] The Importance of Contact Force





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What is a contact force?

A contact force is any force that occurs as a result of two objects making contact with each other. Contact forces are ubiquitous and are responsible for most visible interactions between macroscopic collections of matter. Pushing a car or kicking a ball are some of the everyday examples where contact forces are at work.

What are non-contact forces?

As the name suggests, the forces that act between two bodies that are not in contact with each other are called ‘non-contact’ forces. These forces act between two bodies that are not physically touching each other.

What is the microscopic origin of contact forces?

The microscopic origin of contact forces is diverse. Normal force is directly a result of Pauli exclusion principle and not a true force per se: Everyday objects do not actually touch each other; rather, contact forces are the result of the interactions of the electrons at or near the surfaces of the objects.

What forces act between objects in close contact with each other?

As the name suggests, these forces act between the objects in close contact with each other. It acts at the point of direct contact between the two surfaces. Newton’s laws of motion govern contact forces. These are present everywhere, and most of the macroscopic interaction between two objects can be attributed to these forces.

The Importance of Contact Force

©2009 Brush Wellman Inc.

Issue No. 6 - July 2009 Updated from Original December 1999 Publication

The Importance of Contact Force

Electrical connectors are designed to pass electric currents or signals across a separable interface with as

few changes to the signal as possible. However, the signal will lose some of its power along the way when

it encounters electrical resistance. There are two types of resistance that the signal will encounter: bulk

resistance and contact resistance. Bulk resistance is the resistance of the material along the current's path.

This is a constant value. Contact resistance, however, is variable resistance that occurs at the interface

between the two contact surfaces. Contact resistance is made up of constriction resistance and film resistance, and is dependent upon the contact force between the two surfaces in contact.

Bulk resistance is dependent on the electrical resistivity of the contact material and the shape of the contact.

It is easier to pass a signal through a material with low resistivity (high conductivity) than a material with

high resistivity (low conductivity). A contact of a given length will have higher resistance than a similar

contact of shorter length since the signal has a longer distance to travel. Conversely, a contact with a larger

cross-sectional area will offer less resistance than a thinner, narrower contact. In the same way, Santa

Claus will have an easier time getting down a short, wide, greased chimney (short, wide, high conductivity

contact) than he would getting down a long, narrow, rough chimney (long, narrow, low conductivity contact).

A closer look at the contact interface reveals that all surfaces have some amount of roughness. A surface

that appears smooth to the naked eye will appear to be covered with peaks and valleys when viewed under

a microscope. Two mating surfaces will make contact with each other only where the surface peaks meet

(Figure 1). These contact points are called asperities, or A-spots. The sum total of these contact areas is

typically much smaller than the apparent surface area of the contact interface. Constriction resistance

occurs as the electrical current must squeeze through the asperities to cross the interface. (In the same way,

Santa Claus is slowed by a chimney that suddenly narrows.) Film resistance is created by thin layers of

oxides and dirt that form on material surfaces. Oxides have higher resistivity which requires more effort

for the signal to travel through the film. (In the same way, outdoor Christmas lights are seen much better

when they are not covered with snow. As the layers of snow increase, less light is able to pass through and

the Christmas lights are dimmer.) Bulk

Resistance

Contact

Resistance

Contact Force

Asperities (A-

spots)

Constriction

Resistance

Film

Resistance

The next issue of

Technical Tidbits will

include an informative discussion about the cumulative effects of tolerances on connector performance.

Keeping your contacts

in touch with each other! - This discussion will explain how contact force affects connector performance. Fi gure 1. Sources of Electrical Resistance at the Contact InterfaceFilm

Resistance

Constriction

ResistanceElectric Signal

Bulk

Resistance

©2009 Brush Wellman Inc.

The Importance of Contact Force (continued)

As the contact force increases, the Hertz stress (highly localized stress created by contact) experienced

by the areas in contact will increase. This means that the highest peaks in contact will yield, expanding

the contact area in an effort to counter the additional force. The mating surfaces will then move closer

together which allows contact to be made at shorter, wider peaks on both surfaces. This decreases the

constriction resistance since there are now more and larger paths for the signal to travel through. Since

the contacting surfaces are wider, the signal can more easily pass through any film that might exist.

Therefore, the film resistance decreases as well. Figure 2 shows how the increased force allows the

signal to travel across the interface much more easily. At very high contact forces, most of the total

resistance of the connector comes from the bulk resistance. The resistance is stable, since a small change in force will result in a minimal change in contact resistance Conversely, as contact force decreases, fewer areas will remain in contact. In this situation, film resistance becomes the dominant component of overall contact resistance. If separation between the surfaces continues to increase (i.e. normal force drops nearly to zero), film resistance approaches

infinity, and no signal will pass through the interface at all. At low forces, the contact resistance is

unstable, since a small change in force can result in a large change in resistance. Figure 3 shows the

relationship between contact force and contact resistance. Note that bulk resistance does not change

with changes in contact force.

The electrical resistance of a connector can be minimized by selecting the most conductive material that

also provides the highest normal force without overstressing the contact. This can be done by selecting

a material with a high elastic modulus, high conductivity, high yield strength, and good stress relaxation

resistance. Written by Mike Gedeon of Brush Wellman's Alloy Customer Technical Service Department. Mr. Gedeon's primary focus is on electronic strip for the telecommunications and computer markets with emphasis on Finite Element Analysis (FEA) and material selection.

Brush Wellman Inc.

6070 Parkland Blvd.

Mayfield Heights, OH 44124

(216) 486-4200 (216) 383-4005 Fax (800) 375-4205 Technical Service

Please contact your local

sales representative for further information on contact force or other questions pertaining to

Brush Wellman or our

products.

Health and Safety

Handling copper beryllium in

solid form poses no special health risk. Like many industrial materials, beryllium- containing materials may pose a health risk if recommended safe handling practices are not followed. Inhalation of airborne beryllium may cause a serious lung disorder in susceptible individuals. The Occupational

Safety and Health

Administration (OSHA) has set

mandatory limits on occupational respiratory exposures. Read and follow the guidance in the Material Safety

Data Sheet (MSDS) before

working with this material. For additional information on safe handling practices or technical data on copper beryllium, contact Brush Wellman Inc.

CONTACT FORCE, grams4510

CONTACT RESISTANCE, milliohms

515Film resistance

effect

Constriction

resistance

Bulk resistance

STABILITYINSTABILITY

Constriction resistance

and film resistance effect

Figure 2. Effect of Increased Force

on Constriction Resistance Figure 3. Contact Resistance vs. Normal Forcequotesdbs_dbs30.pdfusesText_36
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