Advances in Computational Mechanics to Address Challenges in Crystal Plasticity FEM
Image-based computational models are essential for predicting microstructure-property relationships. Crystal plasticity finite element models or CPFEM constitute a major part of these computational models. These models generally adopt conventional finite element analysis tools such as available commercial codes. However, they face severe challenges when modeling complex microstructures undergoing extreme phenomena. This chapter examines a few challenges of conventional CPFEM and proposes remedies through advanced methods of computational mechanics. The methods discussed include of element stabilization, multi-time-domain subcycling, and efficiency enhancement through adaptivity. It demonstrates the need for such numerical advances and the advantages gained. It provides motivation for looking beyond the available tools and making fundamental advances in field of computational mechanics that can benefit predictive modeling.
The author acknowledges the contributions of his postdoctoral researchers Dr. J. Cheng, Dr. Y. Azdoud, Dr. P. Chakraborty and graduate student A. Shahba for their work on various aspects in this chapter. He also acknowledges the sponsorship of the National Science Foundation, Mechanics and Structure of Materials Program, the Air Force Office of Scientific Research, and the Army Research Office. Computing support by the Homewood High Performance Compute Cluster (HHPC) and Maryland Advanced Research Computing Center (MARCC) is gratefully acknowledged.
- Bathe K (2006) Finite element procedures. Prentice Hall/Pearson Education Inc, Upper Saddle River, New Jersey 07458Google Scholar
- Ghosh S (2018) JH-SofHub: Johns Hopkins University Software Hub. https://jhsofthub.wse.jhu.edu/about-2/
- Izadbakhsh A, Inal K, Mishra RK, Niewczas M (2011) New crystal plasticity constitutive model for large strain deformation in single crystals of magnesium. Model Simul Mater Sci Eng 50: 2185–2202Google Scholar
- Kocks UF, Argon AS, Ashby MF (1975) Thermodynamics and kinetics of slip. Prog Mater Sci 19:141–145Google Scholar
- Roters F, Eisenlohr P, Bieler TR (2010a) Crystal plasticity FE methods in materials science and engineering. Wiley-VCH Verlag GmbH, WeinheimGoogle Scholar