Information, Instructions, Derivations, and Explanations For Use with Abaqus User Subroutines With a Focus on Growth
This document was born as a compilation of notes and derivations recorded in LaTeX during my doctoral research on the mechanics of the developing human brain. Over the years and several versions, I have made a lot of additions, consolidations, and corrections. The focus originally was and still is the UMAT subroutine in Abaqus, but as my own research broadened and I received feedback and input from colleagues, collaborators, and other researchers who found this document useful, I have made some attempts to be more comprehensive. Above all, my goal is to present in writing a coherent explanation of some of Abaqus' more esoteric quirks for the benefit of future researchers.
if you find this document useful, please cite it as
Holland, MA. "The Hitchhiker's Guide to Abaqus" (2017) doi: 10.5281/zenodo.1243269
I have done my best to accurately attribute my sources; please cite the papers in the bibliography where appropriate.
If you find any errors or omissions or have suggestions for ways I could improve this resource, please contact me by email.
Chapters include:
- Introduction to Abaqus Subroutines - Description of various subroutines and how to use them
- Abaqus Simulations - Overview of input files and debugging simulations
- Constitutive Laws - Background and context for the objective stress rate used by Abaqus
- Mechanics of Growth - Derivations based on the multiplicative decomposition of the deformation gradient
- Mechanical Representation of Biological Growth - Information on the options for growth kinematics and kinetics
- Sample Growth Models - Complete derivations for several growth models of interest
along with several appendices that serve as references for continuum mechanics and Fortran.
