[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 …
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 …
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
Lattice-type periodic metamaterials with beam-like struts have been extensively investigated
in recent years thanks to the progress in additive manufacturing technologies. However …
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
A geometrically nonlinear, shear-deformable 3D beam formulation with inelastic material
behavior and its numerical discretization by a mixed isogeometric collocation method are …
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
We introduce an efficient computational framework for the simulation of complex beam
networks and architected materials. At its core stands a thermodynamics-informed neural …
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
A variational formulation of a beam model is presented for predicting the inelastic and
geometrically nonlinear mechanical behavior of cellular and truss‐based architected …
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 …
elastoplastic cross-sectional warping problem has been proposed by Herrnböck et …
[HTML][HTML] A robust finite strain isogeometric solid-beam element
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 …
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
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 …
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 …
wherein the rod material can obey an arbitrary three-dimensional stored energy density …