Analysis of Bending and Buckling of Circular Porous Plate Using First-Order Shear Deformation Theory
الموضوعات : فصلنامه شبیه سازی و تحلیل تکنولوژی های نوین در مهندسی مکانیک
A.R. Yadegari Naeini Yadegari Naeini
1
(
MSc Student, Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Ir
)
A. Ghasemi
2
(
Assistant Prof., Department of Mechanical Engineering, Najafabad Branch, Islamic Azad University, Isfahan, Iran.
)
الکلمات المفتاحية: Bending, First Order Shear Deformation Theory, Porous material, A circle sheet, Elastic buckling,
ملخص المقالة :
Porous materials are lightweight, flexible and resistant to hairline cracks, so today with the development of technology porous structure produced for use in various industries. This structure widely use in beams, plates and shells. The purpose of this paper is to investigate the effect of porosity in axial symmetry in bending and buckling load sheet for analysis. For this purpose, a circular plate with simply supported edges under uniform radial pressure and vertical pressure distribution is investigated. Mechanical properties of porous sheet are isotropic and variable in thickness direction is considered. Right movement is extended in accordance with the first order shear deformation theory. Then, using the principle of virtual work and applying the calculus of variations, differential equations, and equations for bending sheet stability are achieved, continue using these equations and Galerkin method, bending and buckling of the sheet is calculated. Buckling load is calculated for all types of porosity can be observed with increasing porosity, critical buckling load decreases. Buckling load is calculated for all types of porosity can be observed with increasing porosity, critical buckling load decreases. The distribution of bending stress and deflection analysis sheet was obtained. To verify the results of bending and buckling of the sheet, the results were compared with homogeneous sheet with classical theory.
[1] Benhart J. Manufactore, characterisation and application of cellular metals and metals foam, Progress in Materials Science, vol. 46, 2005, pp. 559-632.
[2] Stasiewicz P., Magnucki K., Elastic buckling of a Pours beam, Theoretical and Applied Mechanics. vol. 140, 2008, pp. 287-298.
[3] Magnucki K, Malinowski M., Bending and buckling of a rectangular porous plat, Steel and Composite Structures, vol. 6, No. 4, 2010, pp. 319-328.
[4] Magnucki K., Malinowski M., buckling of a rectangular porous plate, Steel and Composite Structures, vol. 6, No. 4, 2010, pp. 405-418.
[5] Jasion P., Magnucki M., Global and local buckling of a sandwich circular and beam-rectangular plate with metal foam core, Thin-Walled Structures, vol. 61, 2012, pp. 154-161.
[6] Ma L.S., Wang T.J., Axisymmetric post-buckling of a functionally graded circular plate subjected to uniformly distribute radial compression, Materials Science Forum, vol. 423/425, 2013, pp.719–24.
[7] Magnucki B., Mathematical modelling of a rectangular sandwich plate with metal foam core, Journal of theoretical and applied mechanics, vol. 49, No. 2, 2013, pp. 439-455.
[8] Belica T., Malinowski M., Magnucki K., Dynamic stability of an isotopic metal foam cylindrical shell subjected to external pressure and axial compression, Journal of Applied Mechanics, vol. 78, No. 4, 2014, pp. 041003-1-041003-8.
[9] Debowski D., Magnucki K., Malinowski M., Dynamic stability of a metal foam rectangular plate, Steel and Composite Structures, vol. 10, No. 2, 2012, pp. 151-168.
[10] Choi J.B., Lakes R.S., Analysis of elastic module of conventional foams and of re-entrant foam materials with a negative Poisson's ratio, International Journal of mechanic science, vol. 37, 2005, pp. 51-59.
[11] Volmir A.S., stability of deformation system, 2007, Nauka: Moscow.
.
