Non-linear in-plane stability analysis of FGM circular shallow arches under central concentrated force

Bateni, M.; Eslami, Mohammad H.

doi:10.1016/j.ijnonlinmec.2014.01.001

Cited by 54 publications

(14 citation statements)

References 14 publications

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“…These results are again comparable to the achievements of Bateni and Eslami 2014). The related boundary and continuity conditions are…”

Section: Mechanical Modelsupporting

confidence: 87%

Nonlinear stability analysis of FGM shallow arches under an arbitrary concentrated radial force

Kiss

2019

Int J Mech Mater Des

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The nonlinear in-plane buckling behaviour of pinned-pinned shallow circular arches made of functionally graded material (FGM) is investigated using a one-dimensional Euler-Bernoulli model. The effect of the bending moment on the membrane strain is included. The material properties vary along the thickness of the arch. The external load is a radial concentrated force at an arbitrary position. The prebuckling and buckled equilibrium equations are derived using the principle of virtual work. Analytical solutions are given for both bifurcation and limit point buckling. Comprehensive studies are performed to find the effect of various parameters on the buckling load and on the behaviour. The major findings: (1) arches have multiple stable and unstable equilibria; (2) when the load is at the crown, the lowest buckling load is related to bifurcation buckling for most geometries and material compositions but when the external force is replaced, only limit point buckling is possible; (3) the position of the load has huge influence on the buckling load; (4) such arches are sensitive to small loading imperfections when loaded in the vicinity of the crown. The paper intends to improve and extend the existing knowledge about the behaviour of pinnedpinned shallow FGM arches under arbitrary concentrated radial load.

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“…These results are again comparable to the achievements of Bateni and Eslami 2014). The related boundary and continuity conditions are…”

Section: Mechanical Modelsupporting

confidence: 87%

Nonlinear stability analysis of FGM shallow arches under an arbitrary concentrated radial force

Kiss

2019

Int J Mech Mater Des

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“…(36b) This achievement is comparable with the models by the likes of Bateni [6], Bradford et al [7], Kiss & Szeidl [8] which, in general, apply either…”

Section: The Green-lagrange Strain Tensorsupporting

confidence: 72%

“…In the latter formula ε o1 is the membrane strain on the surface x 3 = 0 (centerline) according to the classical linear theory and ψ o2 is the linearized rotation there. Whilst scientific articles like [6,7], in general, solely keep those second-order terms which are in relation with the rotation, we intend to not keep only the square of the membrane strain ε o1 . The term, linear in x 3 follows after a substitution to (20) 2 :…”

Section: The Green-lagrange Strain Tensormentioning

confidence: 99%

A Nonlinear Kinematical Model for Heterogeneous Circular Beams

Szeidl¹,

Kiss²

2015

The Publications of the MultiScience - XXIX. MicroCAD International Scientific Conference

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“…FG shallow arches can follow equilibrium track and become unstable depending on the critical load limit of internal forces (Batani and Eslami [64]). Sedighi et al [65] investigated dynamic stability analysis of asymmetric FGM-NEMS (nano electromechanical structure).…”

Section: Fgm Panels Duc and Tungmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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Non-linear in-plane stability analysis of FGM circular shallow arches under central concentrated force

Cited by 54 publications

References 14 publications

Nonlinear stability analysis of FGM shallow arches under an arbitrary concentrated radial force

Nonlinear stability analysis of FGM shallow arches under an arbitrary concentrated radial force

A Nonlinear Kinematical Model for Heterogeneous Circular Beams

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

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