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A micro-macro approach to modelling multi-phase materials
Lamut, Martin, 1977-
Engineering materials are heterogeneous at a certain scale, therefore we can described them as multi-phase materials. The heterogeneous nature, such as inclusions, pores, fibers and grain boundaries, ...has a significant impact on the observed macroscopic behaviour of multi-phase materials. Processing and advanced forming operations force a material to undergo complex loading paths. This results in varying microstructural responses and easily provokes anevolution of the microstructure. Therefore, there is a clear need for modelling strategies that provide a better understanding of micro- macro structure-property relations in multi-phase materials. An effective way of transferring the microscale information to the macroscale analysis is to use a multilevel finite element approach-FE2. Within the FE2 framework one conducts an embedded micro-scale computation in order to extract quantities required at a point of macroscale finite element mesh. The aplication of FE2 circumvents the need to construct an explicit macroscale constitution formulation, though at an increased computational cost. In this work a novel method for solving a coupled micro-macro mechanical problems with sensitivity analysis is presented. It enables an efficient approach to problems with complex microstructures, which are used in demanding structural components.
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