# Critical Resolved Shear Stress

**Formula:**`CRSS = tau0 / (m * lambda)`

## Introduction to Critical Resolved Shear Stress Calculator

The critical resolved shear stress (CRSS) is the shear stress required to initiate slip in a crystalline material. It is an intrinsic property of the material and is influenced by various factors such as temperature, material purity, and the presence of impurities or defects. Schmid's Law helps predict the onset of plastic deformation in crystal structures.

The CRSS is calculated using the formula: CRSS = tau0 / (m * lambda), where ** tau0** is the critical shear stress of the material,

**is the Schmid factor, which depends on the orientation of the slip system with respect to the applied stress, and**

*m***is the applied stress.**

*lambda*## Parameter usage:

`tau0`

(Critical shear stress)= mininum shear stress required to move dislocations`m`

(Schmid factor)= a value between 0 and 1 representing the orientation of slip systems`lambda`

(Applied stress)= external stress applied to the material

## Output:

`CRSS`

= critical resolved shear stress

## Data validation

tau0 must be greater than zero, m must be in the range of [0, 1], and lambda must be greater than zero.

## Summary

By understanding CRSS, engineers and materials scientists can predict the stress conditions required to induce plastic deformation, which is crucial for many applications such as metal forming, and strength testing.

Tags: Materials Science, Crystallography, Shear Stress, Schmid S Law