Accession Number:

ADA582244

Title:

Numerical Methods for Material Systems with Microstructure

Descriptive Note:

Final rept. 1 May 2009-30 Apr 2012

Corporate Author:

DUKE UNIV DURHAM NC

Personal Author(s):

• Dolbow, John E.
• Annavarapu, Chandrasekhar

Report Date:

2012-12-14

Pagination or Media Count:

6.0

Abstract:

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.

Descriptors:

• *NUMERICAL ANALYSIS
• FINITE ELEMENT ANALYSIS
• MICROSTRUCTURE

Subject Categories:

• Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE