Journal Article10.1016/0141-0296(84)90064-6
Structural shakedown analysis by dual finite-element formulations
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TL;DR: In this article, the authors established the lower and upper bound theorems for the shakedown load factor α, corresponding to a given load domain, in the case of a linear (or linearized) plastic condition.
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About: This article is published in Engineering Structures. The article was published on 01 Jan 1984. The article focuses on the topics: Shakedown & Upper and lower bounds.
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Citations
The numerical assessment of elastic-plastic sheets under variable mechanical and thermal loads using a simplified two-surface yield condition
Dieter Weichert,J. Gross-Weege +1 more
TL;DR: In this article, a finite element method for the shakedown assessment of sheets under combined thermal and mechanical loads is presented, where the generalized standard material model is adopted allowing for a certain class of kinematical hardening materials; it is realized by a simple two-surface yield condition.
110
On the numerical assessment of the safety factor of elastic-plastic structures under variable loading
TL;DR: In this paper, a finite element method for the shakedown analysis of two-dimensional structures under combined mechanical and thermal loading is presented, where linear elastic-perfectly plastic as well as linear elastic limited kinematical hardening material behaviour is taken into account.
98
A nonlinear inequality, finite element approach to the direct computation of shakedown load safety factors.
TL;DR: In this paper, a numerical scheme is presented aimed at computing shakedown load safety factors in elastic-plastic structures discretized by finite elements, which allows the prescription of a maximum violation of the constitutive law, and the use of a physically oriented solution algorithm to the linear complementarity problem.
56
Numerical shakedown analysis of damaged structures
TL;DR: In this paper, a numerical method is proposed to predict the failure of mechanical structures based on the generalization of the classical static shakedown theorem to damaged inelastic structures, which is taken into account by using the models of Lemaitre and Shichun-Hua.
49
References
Shakedown Analysis by Displacement Method and Equilibrium Finite Element
Nguyen Dang Hung,Luc Palgen +1 more
TL;DR: Lower bounds of the safety factor with respect to shakedown were obtained by use of an e... as discussed by the authors, where the authors studied perfectly-plastic structures subjected to variable loading under plane stress conditions.
A finite element formulation for shakedown problems using a yield criterion of the mean
Nguyen Dang Hung,Jan A. König +1 more
TL;DR: In this article, a finite element formulation of the load domain of shakedown is proposed, where the static approach is utilized together with the yield criterion of the mean, and the assumptions on the discrete residual stress field are adopted exactly in the same manner as for elastic asymptotic stress fields in pure equilibrium elements which guarantee the total stress transmission to be perfectly continuous.
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