[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 …

[HTML][HTML] Nonlinear two-scale beam simulations accelerated by thermodynamics-informed neural networks

H Le Clézio, K Karapiperis, DM Kochmann - Extreme Mechanics Letters, 2024 - Elsevier
We introduce an efficient computational framework for the simulation of complex beam
networks and architected materials. At its core stands a thermodynamics-informed neural …

A Variational Beam Model for Failure of Cellular and Truss‐Based Architected Materials

K Karapiperis, K Radi, Z Wang… - Advanced Engineering …, 2023 - Wiley Online Library
A variational formulation of a beam model is presented for predicting the inelastic and
geometrically nonlinear mechanical behavior of cellular and truss‐based architected …

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 …

[HTML][HTML] A robust finite strain isogeometric solid-beam element

A Shafqat, O Weeger, BX Xu - Computer Methods in Applied Mechanics …, 2024 - Elsevier
In this work, an efficient and robust isogeometric three-dimensional solid-beam finite
element is developed for large deformations and finite rotations with merely displacements …

A computational approach to obtain nonlinearly elastic constitutive relations of strips modeled as a special Cosserat rod

R Kumar, V Agarwal, A Kumar - Computer Methods in Applied Mechanics …, 2024 - Elsevier
This study presents a computational approach to obtain nonlinearly elastic constitutive
relations of strip/ribbon-like structures modeled as a special Cosserat rod. Starting with the …

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 …