A high-order continuation for bifurcation analysis of functionally graded material sandwich plates

Chaabani, Hamza; Mesmoudi, Said; Boutahar, Lhoucine; Bikri, Khalid El

doi:10.1007/s00707-022-03216-4

Cited by 12 publications

(2 citation statements)

References 47 publications

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“…This could mean, for example, a transition from a stable equilibrium to an unstable one, or the emergence of new oscillatory behavior. 20,22,23,29,[31][32][33][34][35][36][37][38][39][40] Bifurcation analysis has applications in many areas of science and engineering. For example, in physics, bifurcation analysis can be used to understand the behavior of complex systems such as fluid flows.…”

Section: Buckling Phenomon: Effect Of Boundary Conditionsmentioning

confidence: 99%

“…In particular, bifurcation analysis is concerned with identifying critical parameter values at which the behavior of the system undergoes a qualitative change. This could mean, for example, a transition from a stable equilibrium to an unstable one, or the emergence of new oscillatory behavior 20,22,23,29,31–40 . Bifurcation analysis has applications in many areas of science and engineering.…”

Section: Buckling Phenomon: Effect Of Boundary Conditionsmentioning

confidence: 99%

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Radial point interpolation‐Chebychev method with asymptotic numerical method for nonlinear buckling analysis of graphene oxide powder‐reinforced composite beams

Askour,

Rammane,

Mesmoudi

et al. 2024

Numerical Meth Engineering

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SummaryThis study aims to analyze the buckling and post‐buckling behaviors of multilayer nanocomposite beams reinforced with graphene oxide powders (GOPs) at low concentrations. The GOPs are randomly oriented and evenly distributed throughout the composite layers, with their weight fraction varying in the thickness direction. The Halpin‐Tsai model is employed to estimate each layer's effective material properties. The nonlinear governing equations for the FG‐GOPRC beam are derived based on the first‐order shear deformation beam theory, and a nonlinear algebraic system is formulated using the principle of potential energy. In this research, a comprehensive parametric analysis is conducted to examine the influence of various factors on the buckling and post‐buckling behaviors of the composite beams. These factors include the distribution pattern and weight fraction of graphene platelets (GPLs) nanofillers, as well as the geometry, size, slenderness ratio, and boundary conditions of the beams. Through the analysis, the study highlights the significant strengthening effect of these factors on the buckling and post‐buckling performance of the composite beams. The findings from this investigation contribute to a deeper understanding of the behavior of multilayer nanocomposite beams reinforced with GOPs. This knowledge can be valuable in designing and optimizing of composite structures for enhanced buckling resistance and post‐buckling performance.

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