Hybrid-mixed low-order finite elements for geometrically exact shell models: Overview and comparison

M Lavrenčič, B Brank - Archives of Computational Methods in Engineering, 2021 - Springer
We critically review and compare fifteen mixed and mixed-hybrid nonlinear shell finite
element formulations with 4 nodes in order to identify those that are closest to the “optimal” …

A risk‐targeted seismic performance assessment of elephant‐foot buckling in walls of unanchored steel storage tanks

LE Vasquez Munoz, M Dolšek - Earthquake Engineering & …, 2023 - Wiley Online Library
Unanchored steel storage tanks are used in industrial plants to store oil and other
petrochemical liquids. In a major earthquake, such tanks may sustain different types of …

Buckling and wrinkling of thin membranes by using a numerical solver based on multivariate Taylor series

H Tian, M Potier-Ferry, F Abed-Meraim - International Journal of Solids and …, 2021 - Elsevier
Buckling and wrinkling of thin structures often lead to very complex response curves that are
hard to follow by standard path-following techniques, especially for very thin membranes in …

[HTML][HTML] Crack propagation simulation without crack tracking algorithm: embedded discontinuity formulation with incompatible modes

A Stanić, B Brank, A Ibrahimbegovic… - Computer methods in …, 2021 - Elsevier
We show that for the simulation of crack propagation in quasi-brittle, two-dimensional solids,
very good results can be obtained with an embedded strong discontinuity quadrilateral finite …

Steady-state non-linear vibrations of plates using Zener material model with fractional derivative

P Litewka, R Lewandowski - Computational Mechanics, 2017 - Springer
The paper is devoted to non-linear vibrations of plates, made of the Zener viscoelastic
material modelled with the Caputo fractional derivative, and in particular to their response to …

[HTML][HTML] Modeling large deformations of thin-walled SMA structures by shell finite elements

L Porenta, M Lavrenčič, J Dujc, M Brojan… - … in Nonlinear Science …, 2021 - Elsevier
Many shape memory alloy (SMA) applications, such as biomedical devices,
electromechanical actuators, and elastocaloric cooling devices, are based on thin-walled flat …

Implicit dynamic buckling analysis of thin‐shell isogeometric structures considering geometric imperfections

Y Guo, M Pan, X Wei, F Luo, F Sun… - International Journal for …, 2023 - Wiley Online Library
In continuation of our previous work on nonlinear stability analysis of trimmed isogeometric
thin shells, this contribution is an extension to dynamic buckling analyses for predicting …

A simple finite element for the geometrically exact analysis of Bernoulli–Euler rods

C da Costa e Silva, SF Maassen, PM Pimenta… - Computational …, 2020 - Springer
This work develops a simple finite element for the geometrically exact analysis of Bernoulli–
Euler rods. Transversal shear deformation is not accounted for. Energetically conjugated …

Fracture of quasi-brittle solids by continuum and discrete-crack damage models and embedded discontinuity formulation

A Stanić, B Brank, D Brancherie - Engineering fracture mechanics, 2020 - Elsevier
We derive a finite element formulation for modelling fracture in 2d quasi-brittle solids. The
kinematics of isoparametric quadrilateral is enriched by strong discontinuity in …

Simulation of shell buckling by implicit dynamics and numerically dissipative schemes

M Lavrenčič, B Brank - Thin-walled structures, 2018 - Elsevier
Shell buckling process is studied by implicit structural dynamics time-stepping schemes with
numerical dissipation (in the high-frequency range), which fall into the class of Generalized …