Exact analytical solutions for the local and global buckling of sandwich beam-columns under various loadings

Douville, Marc-André; Grognec, Philippe Le

doi:10.1016/j.ijsolstr.2013.04.013

Cited by 56 publications

(23 citation statements)

References 25 publications

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“…This hypothesis has been shown to give misleading results not only when the core is isotropic [44], but also when the core is highly orthotropic, e.g., for honeycomb cores [30]. In [45], the core has been modeled as a 2D isotropic continuum (plane stress setting for narrow beams), instead of resorting to a kinematic model as done in the previously cited works. A refined plate model originally formulated for composite laminates has been shown to grasp both overall and local buckling modes of sandwich struts [46].…”

Section: Models For Overall Buckling and Wrinkling Of Sandwich Strutsmentioning

confidence: 99%

Linearized global and local buckling analysis of sandwich struts with a refined quasi-3D model

D′Ottavio¹,

Polit²

2014

Acta Mech

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HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d'enseignement et de recherche français ou étrangers, des laboratoires publics ou privés.

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Section: Models For Overall Buckling and Wrinkling Of Sandwich Strutsmentioning

confidence: 99%

Linearized global and local buckling analysis of sandwich struts with a refined quasi-3D model

D′Ottavio¹,

Polit²

2014

Acta Mech

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“…Kien [11] analyzed large displacement response of tapered cantilever beams made of axially FG material using the finite element method. Douville and Grognec [12] presented elastic buckling analyses of classical sandwich beam-columns. The core was considered as a two-dimensional continuous solid and two faces represented by Euler-Bernoulli beams.…”

Section: Introductionmentioning

confidence: 99%

Transient analysis of a three-layer microbeam subjected to electric potential

Arefi

Zenkour

2017

International Journal of Smart and Nano Materials

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In this paper, free vibration, wave propagation, and bending analyses of a sandwich microbeam integrated with piezoelectric face-sheets resting on Pasternak foundation under electric potential are presented based on the strain gradient theory and Euler-Bernoulli beam theory. The material properties of core are assumed variable along the thickness direction and piezoelectric face-sheets are assumed homogeneous piezoelectric materials. A two-dimensional electric potential distribution along the axial and transverse direction is applied on the face-sheets of microbeam. Hamilton principal is used to derive governing differential equations of motion. Three behaviors of sandwich microbeam including free vibration, wave propagation, and bending analyses are studied in this paper. Some numerical results are presented to capture the effect of important parameters of the problem such as in-homogeneous index, applied voltage, parameters of foundation, and material length scales. The numerical results indicate that the effect of electric potential along the axial direction is very small rather than one along the transverse direction where initial voltage is applied. ARTICLE HISTORY

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“…A variational model representing the nonlinear mode interaction between weak axis Euler buckling and the elastic local buckling of the flange plates was described. Other structural components such as sandwich struts [9,10,11], stringer-stiffened and corrugated plates [12,13,14,15,16,17,18] and thin-walled beams under uniform bending [19], are also known to suffer from the interaction of global and local modes of instability.…”

Section: Introductionmentioning

confidence: 99%

Imperfection sensitivity of thin-walled I-section struts susceptible to cellular buckling

Bai

Wadee

2015

International Journal of Mechanical Sciences

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A variational model that describes the nonlinear interaction between global and local buckling of an imperfect thin-walled I-section strut under pure compression is developed. An initial out-of-straightness of the entire strut and an initial local out-of-plane displacement in the flanges are introduced as a global and a local type of imperfection respectively. A system of differential and integral equilibrium equations is derived for the structural component from variational principles, an approach that was previously validated. Imperfection sensitivity studies focus on cases where the global and local critical loads are similar. Numerical results reveal that the strut exhibiting cellular buckling (or 'snaking') is highly sensitive to both types of imperfections. The worst forms of local imperfection are identified in terms of the initial wavelength, amplitude and degree of localization and these change with the generic imperfection size and highlight the potential dangers of unsafe predictions of actual load-carrying capacity.

show abstract

Exact analytical solutions for the local and global buckling of sandwich beam-columns under various loadings

Cited by 56 publications

References 25 publications

Linearized global and local buckling analysis of sandwich struts with a refined quasi-3D model

Linearized global and local buckling analysis of sandwich struts with a refined quasi-3D model

Transient analysis of a three-layer microbeam subjected to electric potential

Imperfection sensitivity of thin-walled I-section struts susceptible to cellular buckling

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