On Some Issues in Shakedown Analysis

[+] Author and Article Information
G. Maier

Department of Structural Engineering, Technical University (Politecnico), Piazza L. da Vinci, 32, I-20133 Milan, Italy

J. Appl. Mech 68(5), 799-808 (Feb 28, 2001) (10 pages) doi:10.1115/1.1379368 History: Received February 28, 2001
Copyright © 2001 by ASME
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Influence of the penalty factor on the plastic collapse limit (dashed line) and on the violation (measured by a norm of the plastic volumetric strain field) of the normality constraint (solid line)
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Incremental collapse mechanism with relevant Mises-equivalent plastic strain rate field (a) for an idealized gravity dam interpreted as a poroplastic system under periodic live load (bα)
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Self-adaptive limit analysis governed by a normalized measure of the plastic strain rate density of the collapse mechanism in piecewise-linearized plasticity
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Upper bounds on the residual displacement at the top of the idealized poroplastic dam model of Fig. 4, as a function of the mesh refinement (point A corresponds to the finite element mesh shown in Fig. 4)
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Shakedown analysis of a metal-matrix composite subjected to uniaxial average stress Σ: (a) representative volume; (b) incremental collapse mechanism for θ=30 deg; (c) shakedown limit (solid line SDA) versus plastic collapse limit evaluated by the present kinematic method (dashed line LA) and by the static method in 71 (dotted line) (σ0m being the matrix yield stress); (d) convergence on the shakedown limit in the former procedure with penalty factor 106
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Shakedown analysis of a perforated plate: (a) representative volume and finite element mesh; (b) shakedown limit locus (solid line) in the average stress plane for rectangular loading domains like those defined by points A and B; for comparison, the plastic collapse locus in dashed lines (σ0 being the material yield stress)




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