Structural shakedown: a new methodology for estimating the residual displacements

    Liudas Liepa Affiliation
    ; Gediminas Blaževičius Affiliation
    ; Dovilė Merkevičiūtė Affiliation
    ; Juozas Atkočiūnas Affiliation


A vector of residual forces of the ideally elastic-plastic structure at shakedown is obtained by solving the static analysis problem. A unique distribution of the residual forces is determined if the analysis is based on the minimum complementary deformation energy principle. However, the residual displacements developing in the shakedown process of ideally elastic-plastic structures under variable repeated loads can vary non-monotonically. Nevertheless mathematical models for the optimization problems of steel structures at shakedown must include the conditions for strength (safety) and stiffness (serviceability). Residual displacements determined by the plastic deformations are included in the stiffness conditions; therefore to improve the optimal solution it is necessary to determine upper and lower bounds of the residual displacement variations. This paper describes an improved methodology for estimating the variation bounds of the residual displacements at shakedown.

Keyword : elastic-plastic structures, shakedown, unloading phenomenon, residual displacements, energy principles, mathematical programming

How to Cite
Liepa, L., Blaževičius, G., Merkevičiūtė, D., & Atkočiūnas, J. (2016). Structural shakedown: a new methodology for estimating the residual displacements. Journal of Civil Engineering and Management, 22(8), 1055-1065.
Published in Issue
Nov 25, 2016
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