Thesis
Minimal boundary conditions for simulations of disordered materials
Washington State University
Master of Science (MS), Washington State University
2003
Handle:
https://hdl.handle.net/2376/140
Abstract
Traditional boundary conditions impose artificial rigidity and/or periodicity on the Representative Volume Element (RVE) during deformation simulations of materials. The result is a very small portion of the computational model demonstrates the actual microstructural state of the deformation. These are referred to as End Effects and lead to computational inefficiency. Further, they introduce Spurious wavelengths in the field variables. The current research presents the development of Minimal boundary conditions and their implementation to an elastic crystalline aggregate. The Minimal boundary conditions do not impose any rigidity or periodicity on the computational model and effectively eliminate the problem of End Effects. The simulations are carried out on polycrystalline aggregates of different sizes and for different realizations of the orientations of the grains constituting the aggregate. The superiority of the Minimal boundary conditions is demonstrated by subjecting the same aggregate to the other traditional boundary conditions and gauging the overall elastic response. The Minimal boundary conditions deform the material such that the overall response falls within the Hashin-Shtrikman bounds for the elastic constants of an infinite polycrystal assembly. A two-dimensional Fourier Transform of the field variables illustrates that the Minimal boundary conditions contribute Spurious wavelengths to a far lesser extent than the traditional boundary conditions.
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Details
- Title
- Minimal boundary conditions for simulations of disordered materials
- Creators
- Jagan Padbidri
- Contributors
- Sinisa Dj Mesarovic (Degree Supervisor)
- Awarding Institution
- Washington State University
- Academic Unit
- Mechanical and Materials Engineering, School of
- Theses and Dissertations
- Master of Science (MS), Washington State University
- Publisher
- Washington State University; Pullman, Wash. :
- Identifiers
- 99900524802501842
- Language
- English
- Resource Type
- Thesis