Abstract
Abstract In various industrial applications, materials are usually considered in the form of composites in order to take advantage of further enhanced physical properties, particularly by designing complex microstructures. Therefore, it is of high interest to computationally model as well as predict the response of not only elastic materials but also materials showing characteristic coupling phenomena. In the present contribution, we are considering the computational homogenization of deformation–diffusion processes (see also 1,4) in a minimization-based formulation (see 2,3,6). In this approach, the primary fields are the rate of the deformation map and fluid volume flux which is incorporated in a rate-type variational principle. The time-discrete version of the problem is implemented into a conforming Raviart–Thomas-type finite element formulation. Finally, we present numerical examples to show further aspects of the formulation.
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