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Journal ArticleDOI

In-plane stability of arches

01 Jan 2002-International Journal of Solids and Structures (Pergamon)-Vol. 39, Iss: 1, pp 105-125
TL;DR: In this paper, the in-plane buckling of circular arches with an arbitrary cross-section and subjected to a radial load uniformly distributed around the arch axis is investigated, and an energy method is used to establish both non-linear equilibrium equations and buckling equilibrium equations for shallow arches.
About: This article is published in International Journal of Solids and Structures.The article was published on 2002-01-01. It has received 199 citations till now. The article focuses on the topics: Buckling & Arch.
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Journal ArticleDOI
TL;DR: In this article, a virtual work formulation is used to establish both the nonlinear equilibrium conditions and the buckling equilibrium equations for shallow arches, and analytical solutions for antisymmetric bifurcation buckling and symmetric snap-through buckling loads of arches subjected to this loading regime are obtained.
Abstract: This paper is concerned with the in-plane elastic stability of arches with a symmetric cross section and subjected to a central concentrated load. The classical methods of predicting elastic buckling loads consider bifurcation from a prebuckling equilibrium path to an orthogonal buckling path. The prebuckling equilibrium path of an arch involves both axial and transverse deformations and so the arch is subjected to both axial compression and bending in the prebuckling stage. In addition, the prebuckling behavior of an arch may become nonlinear. The bending and nonlinearity are not considered in prebuckling analysis of classical methods. A virtual work formulation is used to establish both the nonlinear equilibrium conditions and the buckling equilibrium equations for shallow arches. Analytical solutions for antisymmetric bifurcation buckling and symmetric snap-through buckling loads of shallow arches subjected to this loading regime are obtained. Approximations for the symmetric buckling load of shallow arches and nonshallow fixed arches and for the antisymmetric buckling load of nonshallow pin-ended arches, and criteria that delineate shallow and nonshallow arches are proposed. Comparisons with finite element results demonstrate that the solutions and approximations are accurate. It is found that the existence of antisymmetric bifurcation buckling loads is not a sufficient condition for antisymmetric bifurcation buckling to take place. DOI: 10.1061/~ASCE!0733-9399~2002!128:7~710!

129 citations

Journal ArticleDOI
Zhanpeng Liu1, Chengwei Yang1, Wei Gao1, Di Wu1, Guoyin Li1 
TL;DR: In this article, an analytical approach for nonlinear static responses and stability analysis of functionally graded porous (FGP) arches with graphene platelets (GPLs) reinforcements is presented.

113 citations

Journal ArticleDOI
TL;DR: In this article, the authors focus on recent advances in the control and application of stimuli-responsive mechanical instabilities, such as global buckling modes, wrin-kling and creasing of surfaces, and snapping transitions.
Abstract: Thin polymer films may undergo a wide variety of elastic instabilities that include global buckling modes, wrin- kling and creasing of surfaces, and snapping transitions. Tradi- tionally, these deformations have usually been avoided as they often represent a means of mechanical failure. However, a new trend has emerged in recent years in which buckling mechan- ics can be harnessed to endow materials with beneficial func- tions. For many such applications, it is desirable that such deformations happen reversibly and in response to well- defined signals or changes in their environment. While signifi- cant progress has been made on understanding and exploiting each type of deformation in its own right, here we focus on recent advances in the control and application of stimuli- responsive mechanical instabilities. V C 2014 Wiley Periodicals, Inc. J. Polym. Sci., Part B: Polym. Phys. 2014, 00, 000-000

105 citations

Journal ArticleDOI
TL;DR: In this paper, the in-plane nonlinear elastic behavior and stability of elastically supported shallow circular arches that are subjected to a radial load uniformly distributed around the arch axis were investigated.

82 citations


Cites background from "In-plane stability of arches"

  • ...Pi et al. (2002) and Bradford et al. (2002) also obtained the limiting shallowness that determines whether an arch buckles in a snap-through mode or in a bifurcation mode, or for which it does not buckle....

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  • ...Pi et al. (2002) investigated the in-plane buckling of shallow circular pin-ended and fixed arches with an arbitrary cross-section that are subjected to a uniformly distributed radial load, and obtained closed form solutions, while Bradford et al. (2002) studied in-plane stability of shallow…...

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  • ...…has been recognized by some researchers (Fung and Kaplan, 1952; Timoshenko and Gere, 1961; Gjelsvik and Bodner, 1962; Schreyer and Masur, 1966; Dickie and Broughton, 1971; Simites, 1976; Kyriakides and Arseculeratne, 1993; Power and Kyriakides, 1994; Pi et al., 2002; Bradford et al., 2002)....

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Journal ArticleDOI
TL;DR: In this paper, a nonlinear in-plane buckling analysis for fixed shallow functionally graded (FG) graphene reinforced composite arches which are subjected to uniform radial load and temperature field is presented, and the analytical solutions for the limit point and bifurcation buckling loads are obtained.

82 citations

References
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Book
01 Jan 1936

8,152 citations

Book
01 Jan 1959

1,142 citations

Book
01 Jan 1998
TL;DR: Stability analysis by Finite-element method as discussed by the authors has been used for dynamic stability analysis of columns and columns in a variety of structural and structural components, e.g., columns with Elastic Lateral Restraints.
Abstract: Stability Theory. Centrally Loaded Columns. Plates. Beams. Plate Girders. Box Girders. Beam--Columns. Horizontally Curved Steel I--Girders. Composite Columns and Structural Systems. Stability of Angle Members. Bracing. Thin--Walled Metal Construction. Circular Tubes and Shells. Members with Elastic Lateral Restraints. Frame Stability. Arches. Doubly Curved Shells and Shell--Like Structures. Selected Topics in Dynamic Stability. Stability Under Seismic Loading. Stability Analysis by Finite--Element Method. Appendices. Indexes.

1,011 citations