Document details key mathematical foundations and numerical strategies used in PHIMATS code implementation, highlighting FEM and constitutive relations.
This document summarizes the main ideas of the finite element method (FEM) theory and constitutive relations as implemented in the PHIMATS code ({https://github.com/ahcomat/PHIMATS.git}{GitHub Repository}). Rather than detailing the derivations or specific models, this document focuses on the key mathematical foundations and numerical strategies used within the implementation. For in-depth theoretical discussions, the reader is encouraged to consult the references. For citing this document, please use ... Hands-on examples can be found in CaseStudies directory on the GitHub repository. .
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Abdelrahman Hussein (2025) studied this question.
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