An edge‐based smoothed finite element method for primal–dual shakedown analysis of structures

TN Tran, GR Liu, H Nguyen‐Xuan… - … Journal for Numerical …, 2010 - Wiley Online Library
An edge-based smoothed finite element method (ES-FEM) using three-node linear
triangular elements was recently proposed to significantly improve the accuracy and …

Computation of limit and shakedown loads using a node‐based smoothed finite element method

H Nguyen‐Xuan, T Rabczuk… - … journal for numerical …, 2012 - Wiley Online Library
This paper presents a novel numerical procedure for computing limit and shakedown loads
of structures using a node‐based smoothed FEM in combination with a primal–dual …

A new mixed node-based solid-like finite element method (MNS-FEM) for laminated shell structures

L Leonetti, H Nguyen-Xuan, GR Liu - Thin-Walled Structures, 2023 - Elsevier
A new solid-shell finite element formulation is investigated in this paper. Departing from the
S-FEM concept of node-based stress smoothing scheme, a new pattern that introduces new …

Numerical lower bound shakedown analysis of engineering structures

JW Simon, D Weichert - Computer Methods in Applied Mechanics and …, 2011 - Elsevier
We propose a numerical method for the computation of shakedown loads of engineering
structures subjected to varying thermo-mechanical loading. The method is based on Melan's …

[HTML][HTML] On the cyclic elastoplastic shakedown behavior of an auxetic metamaterial: An experimental, numerical, and analytical study

S Wang, M Peigney, N Vermaak - Journal of the Mechanics and Physics of …, 2024 - Elsevier
This article presents the first experimental, numerical, and analytical study of the
elastoplastic shakedown response of an auxetic metamaterial structure that elucidates …

[HTML][HTML] Loading capacity prediction of the auxetic tubular lattice structures by multiscale shakedown analysis

L Wang, M Chen, G Chen, T Luo, F Liu - Composite Structures, 2023 - Elsevier
Auxetic tubular structures have raised increasing research interest due to their unique and
tailored properties. However, the complexity of multiaxial loads eliminates the availability of …

Shakedown analysis of engineering structures under multiple variable mechanical and thermal loads using the stress compensation method

H Peng, Y Liu, H Chen, J Shen - International Journal of Mechanical …, 2018 - Elsevier
The determination of shakedown load or shakedown domain is an important task in
structural design and integrity assessment. In this paper, a novel numerical procedure based …

Lower bound shakedown analysis by using the element free Galerkin method and non-linear programming

S Chen, Y Liu, Z Cen - Computer Methods in Applied Mechanics and …, 2008 - Elsevier
Shakedown analysis is a powerful tool for assessing the safety of structures under variable
repeated loads. By using the element free Galerkin (EFG) method and non-linear …

[HTML][HTML] A stabilization-free hybrid virtual element formulation for the accurate analysis of 2D elasto-plastic problems

FS Liguori, A Madeo, S Marfia, G Garcea… - Computer Methods in …, 2024 - Elsevier
A plasticity formulation for the Hybrid Virtual Element Method (HVEM) is presented. The
main features include the use of an energy norm for the VE projection, a high-order …

A unified mathematical programming formulation of strain driven and interior point algorithms for shakedown and limit analysis

G Garcea, L Leonetti - International Journal for Numerical …, 2011 - Wiley Online Library
A mathematical programming formulation of strain‐driven path‐following strategies to
perform shakedown and limit analysis for perfectly elastoplastic materials in an FEM context …