This review paper focuses on Fiber-Reinforced Topology Optimization (FRTO) methods for
automated manufacturing techniques, addressing topology and morphology optimization …

In a recent publication, an approach to optimize the orientation of anisotropic materials was
presented. This strategy was embedded into the thermodynamic topology optimization …

Phase field models have become an effective tool for predicting complex crack
configurations including initiation, propagation, branching, intersecting and merging …

Solving transient heat transfer equations is required to understand the evolution of
temperature and heat flux. This physics is highly dependent on the materials and …

The modeling of damage processes in materials constitutes an ill‐posed mathematical
problem which manifests in mesh‐dependent finite element results. The loss of ellipticity of …

Simulating structures with history-dependent material models and uncertain material
parameters is often computationally expensive. In contrast, the time-separated stochastic …

Damage processes are modeled by a softening behavior in a stress/strain diagram. This
reveals that the stiffness loses its ellipticity and the energy is thus not coercive. A numerical …

A strategy for tension/compression anisotropy enhancement of topology optimization
approaches is presented. To this end, a spectral decomposition of stresses and strains into …

The benefit of adaptive meshing strategies for a recently introduced thermodynamic
topology optimization is presented. Employing an elementwise gradient penalization …

Numerical simulation of bone remodelling enables the investigation of short-and long-term
stability of bone implants and thus can be an essential tool for surgical planning. The first …