Multi-Scale and Adaptive Modeling of Materials and Structures

J. S. Chen, Professor
Department of Civil and Environmental Engineering
University of California, Los AngelesIn this presentation, the mathematical and computational framework based on (1) wavelet multi-scale homogenization and (2) asymptotic expansion method for multi-scale modeling of materials and structures will be first presented. A variationally consistent approach to obtain multi-scale Euler equations, as well as the associated numerical methods solving scale-coupling functions, will be introduced. For demonstration purposes, a multi-scale variational formulation for multi-scale modeling of stressed grain growth with evolving microstructures will be presented. Many local instability problems (such as wrinkling formation) exhibit multiple length scales in the spatial domain. The extension of scale-coupling approach to eigenvalue problems and problems with local instability will be discussed. Due to the difference in the required resolution in spatial discretization at different length scale levels, adaptive computational method plays an important role in the multi-scale modeling. An adaptive numerical method based on a meshfree reproducing kernel approximation will be introduced. Finally, a multi-scale and adaptive modeling of structural failure under blast loading will be presented. Refreshments will be served at 2:30p.m.**ALL FIRST-YEAR MATERIALS SCIENCE GRADUATE STUDENTS ARE REQUIRED TO ATTEND**

Location: Vivian Hall of Engineering (VHE) - 217

Audiences: Everyone Is Invited

Contact: Petra Pearce