411 Concurrent Multiscale Modeling in Solids and Structures: Coupling Methods from Micro to Macro Scales

Alejandro Mota, Sandia National Laboratories
Irina Tezaur, Sandia National Laboratories
Coleman Alleman, Sandia National Laboratories
Materials such as metals, metal alloys, ceramics, glass, sands, soils, and others develop very fine regions of concentrated strain or stress when subject to certain loading conditions. Phenomena active in these regions are associated with micro scale characteristic lengths and times, but may lead to the eventual fracture and failure of macro scale systems and structures. The ability to model these phenomena is of critical significance in engineering applications.

It is not feasible to conduct micro-scale simulations for macroscopic problems to fully resolve very fine regions. So that computational resources can be efficiently allocated, it is advantageous to perform multiscale analysis. A fine scale model is used ­in regions to resolve fields that lead to fracture or failure. Away from these regions, a less expensive coarse scale model is used to capture the far field behavior with lower spatio-temporal resolution and/or reduced-order physics.

In concurrent multiscale modeling, the quantities needed in the coarse scale model are computed on-the-fly from the fine scale models as the computation proceeds. In addition, far-field information from the coarse scale model is provided to the fine scale models. This type of concurrent exchange of information between scales is critical for the simulation of phenomena such as fracture and failure, as loading and other information is transferred back and forth between the scales.

Multiscale modeling is highly interdisciplinary, with developments occurring independently across fields. This minisymposium focuses on the fundamental modeling and computational principles underlying concurrent multiscale methods as used for solids and structures.