Benchmarking computational shell models

P Krysl, JS Chen - Archives of Computational Methods in Engineering, 2023 - Springer
The practice of verification of shell finite element formulations is discussed from a variety of
viewpoints: The provenance of benchmark target values, the suitability of benchmark …

Discontinuous Galerkin isogeometric analysis with peridynamic model for crack simulation of shell structure

Y Xia, H Wang, G Zheng, G Shen, P Hu - Computer Methods in Applied …, 2022 - Elsevier
A discontinuous Galerkin (DG) isogeometric analysis (IGA) formulation with peridynamic
(PD) model is proposed for the simulation of cracks in shell structure. A micro-beam PD …

Isogeometric shape optimization of nonlinear, curved 3D beams and beam structures

O Weeger, B Narayanan, ML Dunn - Computer Methods in Applied …, 2019 - Elsevier
Straight beams, rods and trusses are common elements in structural and mechanical
engineering, but recent advances in additive manufacturing now also enable efficient …

[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 …

Phase-field model of brittle fracture in Reissner–Mindlin plates and shells

G Kikis, M Ambati, L De Lorenzis, S Klinkel - Computer Methods in Applied …, 2021 - Elsevier
In this paper, a phase-field model is presented for the description of brittle fracture in a
Reissner–Mindlin plate and shell formulation. The shell kinematics as well as the phase …

Static, free vibrational and buckling analysis of laminated composite beams using isogeometric collocation method

GS Pavan, H Muppidi, J Dixit - European Journal of Mechanics-A/Solids, 2022 - Elsevier
Isogeometric collocation (IGA-C) method is a computational approach to solve boundary
value problems. In this method (IGA-C), the differential equations are solved in strong form …

[HTML][HTML] An isogemetric analysis formulation for the dynamics of geometrically exact viscoelastic beams and beam systems with arbitrarily curved initial geometry

G Ferri, E Marino - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
We present a novel formulation for the dynamics of geometrically exact Timoshenko beams
and beam structures made of viscoelastic material featuring complex, arbitrarily curved initial …

Two-field formulations for isogeometric Reissner–Mindlin plates and shells with global and local condensation

G Kikis, S Klinkel - Computational Mechanics, 2022 - Springer
In this paper, mixed formulations are presented in the framework of isogeometric Reissner–
Mindlin plates and shells with the aim of alleviating membrane and shear locking. The …

Isogeometric analysis of shear-deformable, in-plane functionally graded microshells by Mindlin's strain gradient theory

TM Le, D Vo, ZY Aung, E Atroshchenko, TQ Bui… - Engineering with …, 2024 - Springer
This paper proposes a general strain-gradient and shear-deformable isogeometric
microshell formulation based on the complete Mindlin's form II strain gradient theory (SGT) …

Mixed stress-displacement isogeometric collocation for nearly incompressible elasticity and elastoplasticity

F Fahrendorf, S Morganti, A Reali, TJR Hughes… - Computer Methods in …, 2020 - Elsevier
We propose a mixed stress-displacement isogeometric collocation method for nearly
incompressible elastic materials and for materials exhibiting von Mises plasticity. The …