Size effect and geometrically nonlinear effect on thermal post-buckling of micro-beams: a new theoretical analysis

With the development of modern constructional technique, more attention on the size effect is paid by academics and engineers. The normal section bearing capacity of Reinforced Concrete Column is analyzed by eccentrically compressed theory firstly. The size effect on normal section bearing capacity of reinforced concrete column is obtained by theoretical analysis and experimental summary. The size effect formula of concrete compressive strength is proposed. Finally, a research thinking of size effect on bearing capacity is suggested.

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A Nonlinear Approach to the Stability Analysis of Space Beam Structures

International Journal of Space Structures ◽

10.1177/026635118900400402 ◽

1989 ◽

Vol 4 (4) ◽

pp. 193-217 ◽

Cited By ~ 6

Author(s):

C. Borri ◽

S. Chiostrini

Keyword(s):

Beam Element ◽

Incremental Algorithm ◽

Geometrically Nonlinear ◽

Nonlinear Formulation ◽

Perturbative Approach ◽

Nonlinear Approach ◽

Spatial Beam ◽

Post Buckling ◽

Implementation Aspects ◽

The Stability

In the context of a nonlinear stability theory of elastic structures, the geometrically nonlinear formulation of a spatial beam element (recently introduced by several authors) is reviewed for application to a perturbative approach of the post-buckling analysis of space beam grids or frames. The implementation aspects of the procedure in an iterative-incremental algorithm are discussed, and the performances of several implemented iteration strategies are brought out, with the aim of improving the usual known ones. The adopted strategy to detect and trace post-buckling equilibrium paths is then discussed. Finally, some numerical examples are used to demonstrate the characteristics and capabilities of the analytical model.

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An Optimized Approach for Tracing Pre- and Post-Buckling Equilibrium Paths of Space Trusses

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455419500408 ◽

2019 ◽

Vol 19 (04) ◽

pp. 1950040

Author(s):

Alireza Habibi ◽

Shaahin Bidmeshki

Keyword(s):

Nonlinear Behavior ◽

Truss Structures ◽

Equilibrium Path ◽

Geometrically Nonlinear ◽

Arc Length ◽

Space Truss ◽

Highly Nonlinear ◽

Post Buckling ◽

Space Trusses ◽

Total Lagrangian Formulation

In this paper, a novel optimization-based method is proposed to analyze steel space truss structures undergoing large deformations. The geometric nonlinearity is considered using the total Lagrangian formulation. The nonlinear solution is obtained by introducing and minimizing an objective function subjected to the displacement-type constraints. The proposed approach can fully follow the equilibrium path of the geometrically nonlinear space truss structures not only before the limit point, but also after it, namely, including both the pre- and post-buckling paths. Moreover, a direct estimation of the buckling loads and their corresponding displacements is possible by using the method. Particularly, it has been shown that the equilibrium path of a structure with highly nonlinear behavior, multiple limit points, snap-through, and snap-back phenomena can be traced via the proposed algorithm. To demonstrate the accuracy, validity, and robustness of the proposed procedure, four benchmark truss examples are analyzed and the results compared with those by the modified arc-length method and those reported in the literature.

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Buckling and post-buckling behaviour of rectangular plates under linearly varying compression and shear: part 1 — Theoretical analysis

Thin-Walled Structures ◽

10.1016/0263-8231(92)90055-2 ◽

1992 ◽

Vol 14 (1) ◽

pp. 59-87 ◽

Cited By ~ 7

Author(s):

J. Zaraś ◽

J. Rhodes ◽

M. Królak

Keyword(s):

Theoretical Analysis ◽

Rectangular Plates ◽

Post Buckling

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Fiber Orientation Effect in the Dynamic Buckling of Debonded Regions in Laterally Loaded FRP Strengthened Walls

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.624.470 ◽

2014 ◽

Vol 624 ◽

pp. 470-477 ◽

Cited By ~ 1

Author(s):

Dvir Elmalich ◽

Oded Rabinovitch

Keyword(s):

Fiber Orientation ◽

Numerical Approach ◽

Shear Loading ◽

Element Formulation ◽

Geometrically Nonlinear ◽

Nonlinear Dynamic Response ◽

Critical Displacement ◽

Buckling Behavior ◽

Post Buckling ◽

Laterally Loaded

This paper studies the effect of lamination and fiber orientation on the geometrically nonlinear dynamic response of debonded regions in walls strengthened with FRP. The paper adopts an analytical/numerical approach and uses a specially tailored finite element formulation for the layered structure. By means of this analytical/numerical tool, two strengthening layouts for a wall segment subjected to a dynamic shear loading are compared. In the first layout, the fibers are oriented along the width and height of the segment and in the second one, they are oriented along its diagonals. The analysis reveals that the two layouts are involved with significantly different critical points and significantly different dynamic post-buckling behaviors. Specifically, it shows that the diagonal layout, which better serves the shear loading scenario, is involved with a much smaller critical displacement and a dynamic post-buckling behavior that is governed by the stiffer compressed and tensed diagonals.

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