The maximum von Mises stress criterion is based on the von Mises-Hencky theory, also known as the Shear-energy theory or the Maximum distortion energy theory.

Pure Shear

In terms of the principal stresses σ_{1}, σ_{2}, σ_{3}, the von Mises stress is expressed as:

The theory states that a ductile material starts to yield at a location when the von Mises stress becomes equal to the stress limit. In most cases, the yield strength is used as the stress limit. However, the software allows you to use the ultimate tensile or set your own stress limit.

σ_{vonMises} >= σ_{limit}

Yield strength is a temperature-dependent property. This specified value of the yield strength should consider the temperature of the component. The factor of safety at a location is calculated from:

Factor of Safety (FOS) = σ_{limit} / σ_{vonMises}

In the case of pure shear, σ_{12} = σ_{21} ≠ 0 , while other σ_{12} = 0 , the von Mises criterion stress is expressed as:
σ_{12} max = σ_{yield }/ √3 = 0.5777 σ_{yield }.

This means that, at the onset of yielding, the maximum shear stress in pure shear is √3 times lower than the yield stress in the case of simple tension.

SOLIDWORKS welcomes your feedback concerning the presentation, accuracy, and thoroughness of the documentation. Use the form below to send your comments and suggestions about this topic directly to our documentation team. The documentation team cannot answer technical support questions. Click here for information about technical support.

* Required

*Email:

Subject:

Feedback on Help Topics

Page:

Maximum von Mises Stress Criterion

*Comment:

*

I acknowledge I have read and I hereby accept the privacy policy under which my Personal Data will be used by Dassault Systèmes

We have detected you are using a browser version older than Internet Explorer 7. For optimized display, we suggest upgrading your browser to Internet Explorer 7 or newer.

To disable Web help from within SOLIDWORKS and use local help instead, click Help > Use SOLIDWORKS Web Help.

To report problems encountered with the Web help interface and search, contact your local support representative. To provide feedback on individual help topics, use the “Feedback on this topic” link on the individual topic page.