Numerical Methods for Material Systems with Microstructure
Final rept. 1 May 2009-30 Apr 2012
DUKE UNIV DURHAM NC
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The objective of this project was to develop an emerging, stabilized finite element method for treating general interfacial laws and microstructural representations independently of a background finite element mesh. Major research objectives and accomplishments associated with the project include 1 extension of the basic approach to account for dissipative bulk and interfacial phenomena, such as crystal plasticity and grain boundary sliding, and the adaptation of the approach to explicit dynamics 2 the leveraging of numerical analysis to greatly improve the efficiency of the method, and the exploitation of methods for multi-scale coupling to continuum models and 3 the training of a broad range of graduate students in the use of these methods.
- Numerical Mathematics