Relative Transverse Strain in Materials with Different Poisson Ratios

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration shows the relative transverse strain resulting from a specified axial strain, as described by Poisson's ratio, defined as the negative ratio of transverse strain to axial strain. Tensile strain is considered positive, while compressive strain is considered negative. The definition contains a minus sign so that normal materials have a positive ratio. The value of Poisson's ratio varies from material to material. However, in isotropic materials, Poisson ratios can fall anywhere between the theoretical limits of and . In this Demonstration, you can assign two different values of Poisson's ratio to bars of two different materials (the red and the green cylinders) and observe how these materials respond to the same axial strain. The blue cylinder is a reference representative of an undeformed bar not subject to any strain.

Contributed by: Corey Meyer (June 2015)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The default setting is an axial strain of zero. Moving the slider bar to the right results in equal tensile strain on the red and green cylinders, and moving it to the left results in equal compressive strain on the red and green cylinders. The blue cylinder undergoes no strain. This Demonstration describes only relative dimensional changes of the bars.

Snapshot 1: tension with two positive values of Poisson's ratio

Snapshot 2: compression with one positive and one negative value of Poisson's ratio

Snapshot 3: compression with two positive values of Poisson's ratio



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send