##  [Johnson-Cook Constitutive Model](/index.php/johnson-cook-constitutive-model) 

  ##  [Johnson-Cook Constitutive Model](https://engineering.quantumdictionary.io/johnson-cook-constitutive-model-0) 

  

 [![Engineering & Applied Technologies Dictionary](/sites/default/files/styles/large/public/2026-01/Engineering%20%26%20Applied%20Technologies.png.webp?itok=_IKO7_-n)](/index.php/topic-specific-dictionaries/engineering-applied-technologies)



**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An empirical constitutive law for ductile metals that expresses flow stress as a separable function of equivalent plastic strain, plastic strain rate, and temperature; commonly written as σ = [A + B(εp)^n][1 + C ln(ε̇p/ε̇0)][1 − (T*)^m], where εp is equivalent plastic strain, ε̇p the plastic strain rate, ε̇0 a reference rate, T* a homologous temperature normalized between a reference and melting t