37 citations · 66 across the 5 of their papers we have counts for
7 papers
Reliable training of neural hyperelastic models via full-field data
Konrad Friedrichs, Franz Dammaß, Karl A. Kalina +1
We present a systematic investigation of the robustness and limitations of equilibrium gap-based calibrations for hyperelastic physics-augmented neural networks (PANNs), where we c…
Construction of minimal integrity basis for anisotropic hyperelasticity via structural tensors
Brain M. Riemer, Jörg Brummund, Karl A. Kalina +3
We present minimal integrity bases for all common anisotropies in hyperelasticity via the structural tensor concept, which can be used to formulate any algebraic invariant function…
Precise, efficient and flexible modeling of crystallizing elastomers based on physics-augmented neural networks
Konrad Friedrichs, Franz Dammaß, Karl A. Kalina +1
We propose a precise and efficient physics-augmented neural network (PANN) to model strain-induced crystallization in rubbery polymers. We demonstrate that the model can be flexibl…
When invariants matter: The role of I1 and I2 in neural network models of incompressible hyperelasticity
Franz Dammaß, Karl A. Kalina, Markus Kästner
For the formulation of machine learning-based material models, the usage of invariants of deformation tensors is attractive, since this can a priori guarantee objectivity and mater…
Rate- and temperature-dependent ductile-to-brittle fracture transition: Experimental investigation and phase-field analysis for toffee
Franz Dammaß, Dennis Schab, Harald Rohm +1
The mechanical behaviour of many materials, including polymers or natural materials, significantly depends on the rate of deformation. As a consequence, a rate-dependent ductile-to…
Phase-field modelling and analysis of rate-dependent fracture phenomena at finite deformation
Franz Dammaß, Karl A. Kalina, Marreddy Ambati +1
Fracture of materials with rate-dependent mechanical behaviour, e.g. polymers, is a highly complex process. For an adequate modelling, the coupling between rate-dependent stiffness…