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Here is an example of the UMAT subroutine with a complete and simple tutorial. This video is a complete tutorial of the implementation of non-isothermal elasticity on a cube with the UMAT subroutine. Complete explanation of theories and equations. Problem description. Step by Step explanation of the code with equations. Simulation and results analysis. If you are interested, you can get the UMAT package which contains more examples and includes example files, cae, ODB, UMAT code: https://caeassistant.com/product/umat... First time writing UMAT?! Do not worry!! Read these articles: https://caeassistant.com/blog/start-w... https://caeassistant.com/blog/start-w... First time writing a subroutine? No problem; This article will help you: https://caeassistant.com/blog/start-w... Basics of FORTRAN in case you need: https://caeassistant.com/blog/fortran... https://caeassistant.com/blog/fortran... 0:00- Intro 0:10- Equations explanation 3:10- Model geometry, Material properties, Boundry conditions 4:00- UMAT subroutine description 11:32- Modeling in ABAQUS 17:35- Results 20:55- Epilogue