Back to Departmental Colloquium: Spring 2014
Departmental Colloquium
Date: Thursday, Apr 3, 2014
Time: 4:00PM
Location: LCB 219
Mitchell Luskin
University of Minnesota
Title |
Mathematical Foundations for Multiscale Materials Modeling and Computing |
Abstract |
Predictive computational models for materials must include the interactions of multiple spatial and temporal scales. These scales can be classified as microscopic, mesoscopic, and macroscopic for simplicity, but there are typically structures at many scales with varying degrees of separation. The promise of technologies based on engineered high performance materials make materials modeling an increasing focus of research and development. Temporal and spatial multiscale challenges appear because the material response of crystalline solids is characterized by the nucleation, dynamics, and pattern formation of defects such as point defects (vacancies, interstitials, impurities), line defects (dislocations), and surface defects (grain boundaries, surfaces, cracks, etc.). To overcome these challenges and reach mesoscopic scales, new mathematical foundations and computational algorithms are needed for spatial coarse-graining (atomistic-to-continuum coupling methods) and temporal coarse-graining (accelerated dynamics methods), as well as methods combining spatial and temporal coarse-graining. |
Computational Mathematics
Applied Mathematics
Data Science and Machine Learning