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A primal–dual algorithm for shakedown analysis of structures
Computer Methods in Applied Mechanics and Engineering, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vu, D. K., Yan, A. M., Nguyen-Dang, H.
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Shakedown Analysis of Nonsandwich Structures*
Journal of Structural Mechanics, 1984ABSTRACT This paper presents a simple method of evaluating the alternating plasticity limit of structures with nonsandwich cross sections under combined stresses. Mathematical programming and matrix formulations are used. A procedure that enables the actual shakedown limit of the nonsandwich structure to be found is then given.
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Variational Principles for Shakedown Analysis
2000The safety factor for elastic shakedown of structures under variable loads is considered. Variational principles for shakedown analysis are reviewed in a unified presentation, suitable to finite element discretizations, and considering nonlinear yield functions. Extremum principles for bounds to shakedown loads are also presented.
Nestor Zouain, José Luís Silveira
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Dynamic shakedown by modal analysis
Meccanica, 1984zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Limit and shakedown analysis of 3-D steel frames
Engineering Structures, 2008Abstract This paper presents an efficient algorithm for both limit and shakedown analysis of 3-D steel frames by the kinematic method using linear programming technique. Several features in the application of linear programming for rigid-plastic analysis of three-dimensional steel frames are discussed, as: change of the variables, automatic choice of
Hoang, Van Long, Nguyen, Dang Hung
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Finite element shakedown analysis of two‐dimensional structures
International Journal for Numerical Methods in Engineering, 2005AbstractIn the present paper, the formulation proposed by Casciaro and Garcea (Comput. Meth. Appl. Mech. Eng., 2002; 191:5761–5792) and applied to the shakedown analysis of plane frames, is extended to the analysis of two‐dimensional flat structures in both the cases of plane‐stress and plane‐strain.
GARCEA, Giovanni +3 more
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Shakedown Analysis of Nonprismatic Beams
Journal of the Structural Division, 1967A theoretical investigation of the shakedown theorem for non-prismatic beams of elastic-plastic and strain-hardening material is presented. Analytical expressions for shakedown analysis of continuous beams with variable cross section under statical loading have been derived.
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A general method for shakedown analysis
Computers & Structures, 1988A numerical method for classical shakedown (SD) analysis is discussed. As the basis of the present method, a revised Melan theorem is introduced. It can be stated as follows: shakedown occurs if and only if there exists a constant, self-equilibrated stress field \(\sigma^ 0\), such that its superposition on any \(\sigma^ e(E_ j)\) forms a stress ...
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Ratcheting/Shakedown Analysis of Cracked Structures
Volume 1: Codes and Standards, 2011The classical approaches in shakedown analysis are based the assumption that the stresses are eventually within the elastic range of the material everywhere in a component (elastic shakedown). Therefore, these approaches are not very useful to predict the ratcheting limit (ratchet limit) of a cracked component/structure in which the magnitude of stress
R. Adibi-Asl, W. Reinhardt
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On Some Issues in Shakedown Analysis
Journal of Applied Mechanics, 2001Shakedown analysis, and its more classical special case of limit analysis, basically consists of “direct” (as distinct from time-stepping) methods apt to assess safety factors for variable repeated external actions and procedures which provide upper bounds on history-dependent quantities.
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