[HTML][HTML] Physics-augmented neural networks for constitutive modeling of hyperelastic geometrically exact beams

JO Schommartz, DK Klein, JCA Cobo… - Computer Methods in …, 2025 - Elsevier
We present neural network-based constitutive models for hyperelastic geometrically exact
beams. The proposed models are physics-augmented, ie, formulated to fulfill important …

[HTML][HTML] An efficient displacement-based isogeometric formulation for geometrically exact viscoelastic beams

G Ferri, D Ignesti, E Marino - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
We propose a novel approach to the linear viscoelastic problem of shear-deformable
geometrically exact beams. The generalized Maxwell model for one-dimensional solids is …

[HTML][HTML] Inelastic finite deformation beam modeling, simulation, and validation of additively manufactured lattice structures

O Weeger, I Valizadeh, Y Mistry, D Bhate - Additive Manufacturing Letters, 2023 - Elsevier
Lattice-type periodic metamaterials with beam-like struts have been extensively investigated
in recent years thanks to the progress in additive manufacturing technologies. However …

Mixed isogeometric collocation for geometrically exact 3D beams with elasto-visco-plastic material behavior and softening effects

O Weeger, D Schillinger, R Müller - Computer Methods in Applied …, 2022 - Elsevier
A geometrically nonlinear, shear-deformable 3D beam formulation with inelastic material
behavior and its numerical discretization by a mixed isogeometric collocation method are …

Two-scale off-and online approaches to geometrically exact elastoplastic rods

L Herrnböck, A Kumar, P Steinmann - Computational Mechanics, 2023 - Springer
This work compares two different computational approaches to geometrically exact
elastoplastic rods. The first approach applies an elastoplastic constitutive model in terms of …

Homogenization of fully nonlinear rod lattice structures: on the size of the RVE and micro structural instabilities

L Herrnböck, P Steinmann - Computational Mechanics, 2022 - Springer
This work investigates the possibility of applying two-scale computational homogenization to
rod lattice structures emerging, for instance, from additive manufacturing. The influence of …

A strategy for scaling the hardening behavior in finite element modelling of geometrically exact beams

T Gärtner, SJ van den Boom, J Weerheijm… - Computational …, 2024 - Springer
A yield function in the stress resultant space of geometrically exact beams based on the
elastoplastic cross-sectional warping problem has been proposed by Herrnböck et …

Buckling optimization of additively manufactured cellular structures using numerical homogenization based on beam models

D Hübner, L Herrnböck, F Wein, J Mergheim… - Archive of Applied …, 2023 - Springer
Interest in components with detailed structures increased with the progress in advanced
manufacturing techniques. Parts with lattice elements can provide improved global buckling …

Uniformly strained anisotropic elastoplastic rods: determination of elastoplastic constitutive relations and yield surface in terms of rod's variables

A Kumar - European Journal of Mechanics-A/Solids, 2023 - Elsevier
This work presents a formulation for the elastoplastic deformation of the rod's cross-section
wherein the rod material can obey an arbitrary three-dimensional stored energy density …

[PDF][PDF] Numerische Methoden zur Modellierung elastoplastischer Balken und ihre Anwendung auf periodische Gitterstrukturen

L Herrnböck - 2023 - researchgate.net
Diese Arbeit entstand während meiner Zeit am Lehrstuhl für Technische Mechanik der
Friedrich-Alexander-Universität Erlangen-Nürnberg. Währenddessen habe ich von vielen …