ABSTRACT

This chapter presents a simple multiscale analysis technique for a polycrystalline material. The nature of such a material is still too complex to fully understand in all length scales. More refined multiscale techniques will be developed as more knowledge is available to bridge different length scales. The chapter also presents a systematic approach for multiscale modeling to implement characteristics of different length scales of a polycrystalline material into the structural behavior, from the nanoscale to the macroscale. The macroscale is an engineering structural level whose dimension can range generally from centimeters to meters. Macroscale analysis is undertaken for load-carrying engineering structures such as test coupons or structural components subjected to loading. In the nanoscale analysis, the nanoscale crack is modeled discretely. The nanoscale model is subjected to the stress field at the boundary as determined in the microscale analysis.