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 …

Limit and shakedown isogeometric analysis of structures based on Bézier extraction

HV Do, H Nguyen-Xuan - European Journal of Mechanics-A/Solids, 2017 - Elsevier
An effective numerical approach is proposed for calculating limit and shakedown load
multipliers of structures. The key idea is to integrate isogeometric analysis (IGA) based on …

A numerical approach to the yield strength of shell structures

J Bleyer, P De Buhan - European Journal of Mechanics-A/Solids, 2016 - Elsevier
This work investigates the formulation of lower and upper bound finite elements for the yield
design (or limit analysis) of shell structures. The shell geometry is first discretized into …

Limit and shakedown analysis under uncertainty

M Staat - International Journal of Computational Methods, 2014 - World Scientific
Structural reliability analysis is based on the concept of a limit state function separating
failure from safe states of a structure. Upper and lower bound theorems of limit and …

Limit states of structures in n-dimensional loading spaces with limited kinematical hardening

JW Simon - Computers & Structures, 2015 - Elsevier
The load bearing capacity of engineering structures subjected to varying thermo-mechanical
loading can be determined most conveniently by shakedown analysis. Admittedly, if limited …

Probabilistic limit and shakedown analysis of thin plates and shells

TN Trần, R Kreißig, M Staat - Structural Safety, 2009 - Elsevier
The reliability analysis of plates and shells with respect to plastic collapse or to inadaptation
is formulated on the basis of limit and shakedown theorems. Based on a direct definition of …

Elastic modulus reduction method for limit analysis of thin plate and shell structures

B Yu, LF Yang - Thin-walled structures, 2010 - Elsevier
The paper proposes an efficient numerical method, namely, the elastic modulus reduction
method (EMRM) to calculate lower-bound limit loads of thin plate and shell structures. To …

Shakedown and safety assessment

N Zouain - Encyclopedia of Computational Mechanics Second …, 2018 - Wiley Online Library
The main subjects of this chapter are the variational formulations for the computation of a
safety factor in shakedown analysis, the numerical procedures available to implement this …

An extended shakedown theory on an elastic–plastic spherical shell

J Atkočiūnas, T Ulitinas, S Kalanta, G Blaževičius - Engineering Structures, 2015 - Elsevier
The article analyses one of possible optimization methodologies for ideal elastic–plastic
structures at shakedown and its application for shallow spherical shells having prescribed …