Continuum-Kinetic Models and Numerical Methods for Multiphase Applications Public Deposited
- Last Modified
- March 21, 2019
- Creator
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Nault, Isaac
- Affiliation: College of Arts and Sciences, Department of Mathematics
- Abstract
- This thesis presents a continuum-kinetic approach for modeling general problems in multiphase solid mechanics. In this context, a continuum model refers to any model, typically on the macro-scale, in which continuous state variables are used to capture the most important physics: conservation of mass, momentum, and energy. A kinetic model refers to any model, typically on the meso-scale, which captures the statistical motion and evolution of microscopic entitites. Multiphase phenomena usually involve non-negligible micro or meso-scopic effects at the interfaces between phases. The approach developed in the thesis attempts to combine the computational performance benefits of a continuum model with the physical accuracy of a kinetic model when applied to a multiphase problem. The approach is applied to modeling a single particle impact in Cold Spray, an engineering process that intimately involves the interaction of crystal grains with high-magnitude elastic waves. Such a situation could be classified a multiphase application due to the discrete nature of grains on the spatial scale of the problem. For this application, a hyper elasto-plastic model is solved by a finite volume method with approximate Riemann solver. The results of this model are compared for two types of plastic closure: a phenomenological macro-scale constitutive law, and a physics-based meso-scale Crystal Plasticity model.
- Date of publication
- May 2017
- Keyword
- DOI
- Resource type
- Rights statement
- In Copyright
- Advisor
- Champagne, Victor
- Wang, Xuemei
- Huang, Jingfang
- Griffith, Boyce
- Mitran, Sorin
- Degree
- Doctor of Philosophy
- Degree granting institution
- University of North Carolina at Chapel Hill
- Graduation year
- 2017
- Language
- Parents:
This work has no parents.
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Nault_unc_0153D_17116.pdf | 2019-04-08 | Public |
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