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” …

Non‐linear analysis of shells with arbitrary evolving cracks using XFEM

PMA Areias, T Belytschko - International Journal for Numerical …, 2005 - Wiley Online Library
A new formulation and numerical procedures are developed for the analysis of arbitrary
crack propagation in shells using the extended finite element method. The method is valid …

Nonlinear shell problem formulation accounting for through-the-thickness stretching and its finite element implementation

B Brank, J Korelc, A Ibrahimbegović - Computers & structures, 2002 - Elsevier
We discuss a theoretical formulation of shell model accounting for through-the-thickness
stretching, which allows for large deformations and direct use of 3d constitutive equations …

A finite‐strain quadrilateral shell element based on discrete Kirchhoff–Love constraints

PMA Areias, JH Song… - International Journal for …, 2005 - Wiley Online Library
This paper improves the 16 degrees‐of‐freedom quadrilateral shell element based on
pointwise Kirchhoff–Love constraints and introduces a consistent large strain formulation for …

[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 …

Nonlinear shell models with seven kinematic parameters

B Brank - Computer methods in applied mechanics and …, 2005 - Elsevier
We discuss design of nonlinear finite rotation shell model with seven kinematic
displacement-like parameters, which are: three displacements of the middle surface, two …

On path-following methods for structural failure problems

A Stanić, B Brank, J Korelc - Computational Mechanics, 2016 - Springer
We revisit the consistently linearized path-following method that can be applied in the
nonlinear finite element analysis of solids and structures in order to compute a solution path …

Shape optimization of truss-stiffened shell structures with variable thickness

M Kegl, B Brank - Computer methods in applied mechanics and …, 2006 - Elsevier
This paper presents an effective approach to shape optimal design of statically loaded
elastic shell-like structures. The shape parametrization is based on a design element …

Shell-based finite element model for predicting buckling stability of superelastic structures for elastocaloric cooling

L Porenta, B Brank, J Tušek, M Brojan - Thin-Walled Structures, 2024 - Elsevier
Elastocaloric cooling devices loaded in compression have shown significant potential for
fatigue-resistant operation, but for efficient operation they require thin-walled elements to …

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 …