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        Development of a 2D isoparametric finite element model based on the layerwise approach for the bending analysis of sandwich plates

        Mohamed-Ouejdi Belarbi,Abdelouahab Tati,Houdayfa Ounis,Adel Benchabane 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.57 No.3

        The aim of this work is the development of a 2D quadrilateral isoparametric finite element model, based on a layerwise approach, for the bending analysis of sandwich plates. The face sheets and the core are modeled individually using, respectively, the first order shear deformation theory and the third-order plate theory. The displacement continuity condition at the interfaces „face sheets-core‟ is satisfied. The assumed natural strains method is introduced to avoid an eventual shear locking phenomenon. The developed element is a four-nodded isoparametric element with fifty two degrees-of-freedom (52 DOF). Each face sheet has only two rotational DOF per node and the core has nine DOF per node: six rotational degrees and three translation components which are common for the all sandwich layers. The performance of the proposed element model is assessed by six examples, considering symmetric/unsymmetric composite sandwich plates with different aspect ratios, loadings and boundary conditions. The numerical results obtained are compared with the analytical solutions and the numerical results obtained by other authors. The results indicate that the proposed element model is promising in terms of the accuracy and the convergence speed for both thin and thick plates.

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        Pulsatile flow of thixotropic blood in artery under external body acceleration and uniform magnetic field: Biomedical Application

        Cheffar Louiza,Benslimane Abdelhakim,Bekkour Karim,Sadaoui Djamel,Benchabane Adel 한국유변학회 2023 Korea-Australia rheology journal Vol.35 No.4

        In this work, a numerical model is carried out to investigate the magneto-hemodynamics of blood driven by an oscillating pressure gradient and exposed to a uniform magnetic field and an external body acceleration. The non-Newtonian nature of blood was taken into account using a time-dependent thixotropic model. Incompressible, axisymmetric, and laminar flow assumptions were used to simplify the non-linear partial differential equations. The velocity field and wall shear stress distribution are numerically solved using the finite difference method. The analytical solution of the velocity distribution of a fully developed pulsatile flow of a Newtonian fluid is used to validate the numerical solution. Further research is done into how structural traits, the average of the pressure gradient, body acceleration, and the magnetic field affect the magneto-hemodynamic properties of blood. The findings indicate how the various characteristics taken into account affected the blood's magneto-hemodynamic behavior in arteries.

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