  This paper proposes an extension of the finite cell method (FCM) to V-rep
models, a novel geometric framework for volumetric representations. This
combination of an embedded domain approach (FCM) and a new modeling framework
(V-rep) forms the basis for an efficient and accurate simulation of mechanical
artifacts, which are not only characterized by complex shapes but also by their
non-standard interior structure. These objects gain more and more interest in
the context of the new design opportunities opened by additive manufacturing,
mainly when graded or micro-structured material is applied. Two different types
of functionally graded materials (FGM) are considered: The first one,
multi-material FGM, is described using the V-rep models' inherent property to
assign different properties throughout the interior of a domain. The second,
single-material FGM -- which is heterogeneously micro-structured --
characterizes the effective material behavior of representative volume elements
by homogenization and performs large-scale simulations using the embedded
domain approach.
