In this contribution, we present a diffuse modeling approach to embed material interfaces
into nonconforming meshes with a focus on linear elasticity. For this purpose, a regularized
indicator function is employed that describes the distribution of the different materials by a
scalar value. The material in the resulting diffuse interface region is redefined in terms of this
indicator function and recomputed by a homogenization of the adjacent material parameters.
The applied homogenization method fulfills the kinematic compatibility across the interface …

In the numerical analysis of heterogeneous materials, weak discontinuities arise in the field
variables due to rapidly changing mechanical properties at material interfaces. Details about
the local topology of heterogeneous microstructures are typically taken from imaging
methods or are given in terms of random distributions. To avoid costly meshing processes,
the embedded domain method can be employed, where the physical domain is embedded
into a regular background mesh, that is used for computation. In [1], the material interface is …