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, m is the Schmid factor, which depends on the orientation of the slip system with respect to the applied stress, and lambda is the applied stress.
Parameter usage:
tau0
(Critical shear stress)= mininum shear stress required to move dislocationsm
(Schmid factor)= a value between 0 and 1 representing the orientation of slip systemslambda
(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