246 citations · 987 across the 26 of their papers we have counts for
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Physics-Informed Neural Networks for Shell Structures
Jan-Hendrik Bastek, Dennis M. Kochmann
The numerical modeling of thin shell structures is a challenge, which has been met by a variety of finite element (FE) and other formulations -- many of which give rise to new chal…
Topology Optimization of Graded Truss Lattices Based on On-the-Fly Homogenization
Bastian Telgen, Ole Sigmund, Dennis M. Kochmann
We introduce a computational framework for the topology optimization of cellular structures with spatially varying architecture, which is applied to functionally graded truss latti…
Finite-temperature surface elasticity of crystalline solids
Shashank Saxena, Miguel Spinola, Prateek Gupta +1
Surface energies and surface elasticity largely affect the mechanical response of nanostructures as well as the physical phenomenon associated with surfaces such as evaporation and…
A phase-field model for ferroelectrics with general kinetics. Part I: Model formulation
Laurent Guin, Dennis Kochmann
When subjected to electro-mechanical loading, ferroelectrics see their polarization evolve through the nucleation and evolution of domains. Existing mesoscale phase-field models fo…
Numerical approaches for investigating quasiconvexity in the context of Morrey's conjecture
Jendrik Voss, Robert J. Martin, Oliver Sander +3
Deciding whether a given function is quasiconvex is generally a difficult task. Here, we discuss a number of numerical approaches that can be used in the search for a counterexampl…