Steady-State Limit of Elastoplastic Trusses for the Plastic Shakedown Region

[+] Author and Article Information
K. Uetani, Y. Araki

Graduate School of Engineering, Kyoto University, Sakyo, Kyoto 606-8501, Japan

J. Appl. Mech 67(3), 581-589 (Apr 21, 1999) (9 pages) doi:10.1115/1.1285837 History: Received August 14, 1998; Revised April 21, 1999
Copyright © 2000 by ASME
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Classification of the response in a plane of loading combinations
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The positions and the nodal displacements at the two ends of a truss element
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A bilinear kinematic hardening rule
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Classification of all possible types of the cyclic response
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The equilibrium state Γβ(μ) at which the last loading occurs before Γμ
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Fundamental concepts of the SSL theory: (a) the equilibrium state space and (b) the steady-state space
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(a) The ICL program and (b) the loading process at each amplitude level
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Key differences between (a) the previous method and (b) the present method
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The yielding conditions (a) σμβ(μ)+2σy and (b) σμβ(μ)
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(a) The transition from the elastic range to the strain hardening range and (b) the transition from the straining hardening range to the elastic range
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(a) The two-bar truss and (b) the ten-bar plane truss
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The SSL for (a) the two-bar truss and (b) the ten-bar truss
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The cyclic forced displacement programs: (a) STIDAC and (b) STIDAD
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The SSL and the results of the parametric response analysis
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The relations between U5 and the number of load reversals for the ten-bar truss under (a) ψ̄<ψssl and (b) ψ̄>ψssl
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An example of a new yielding point: (a) the transition in an element where the number of yielding point increases and (b) the transition in another element
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(a) The change of the load factor and (b) the examination of strain reversals



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