Journal ArticleDOI
Axi-symmetrical deflection and buckling of circular porous-cellular plate
TLDR
In this article, the authors proposed a solution of the problem of buckling and deflection of a circular porous plate with simply supported edge under radial uniform compression and uniformly distributed load (pressure).Abstract:
The main goal of this paper is a solution of the problem of buckling and deflection. A circular porous plate with simply supported edge under radial uniform compression and uniformly distributed load (pressure) is considered. Mechanical properties of the isotropic porous material vary across the thickness of the plate. Middle plane of the plate is its symmetry plane. A field of displacements (geometric model of nonlinear hypothesis) is described. The principle of stationarity of the total potential energy allowed to get a system of differential equations that govern the plate stability. A critical load and a deflection are determined. The results obtained for porous plates are compared to homogeneous circular plates.read more
Citations
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Elastic buckling and static bending of shear deformable functionally graded porous beam
TL;DR: In this paper, the elastic buckling and static bending analysis of shear deformable functionally graded (FG) porous beams based on the Timoshenko beam theory is presented, where the elasticity moduli and mass density of porous composites are assumed to be graded in the thickness direction according to two different distribution patterns.
Journal ArticleDOI
Free and forced vibrations of shear deformable functionally graded porous beams
TL;DR: In this paper, the free and forced vibration characteristics of functionally graded (FG) porous beams with non-uniform porosity distribution whose elastic moduli and mass density are nonlinearly graded along the thickness direction were investigated.
Journal ArticleDOI
Free vibration analysis of saturated porous FG circular plates integrated with piezoelectric actuators via differential quadrature method
TL;DR: The free vibration analysis of a circular plate made up of a porous material integrated by piezoelectric actuator patches has been studied in this article, where the plate is assumed to be thin and its shear deformations have been neglected.
Journal ArticleDOI
Natural frequencies of functionally graded plates with porosities via a simple four variable plate theory: An analytical approach
TL;DR: In this article, the free vibration analysis of rectangular plates composed of functionally graded materials with porosities is investigated based on a simple first-order shear deformation plate theory, where the network of pores in assumed to be empty or filled by low pressure air and the material properties of the plate varies through the thickness.
Journal ArticleDOI
Buckling analysis of functionally graded circular plates made of saturated porous materials based on higher order shear deformation theory
TL;DR: In this paper, the buckling analysis of radially loaded solid circular plate made of porous material is presented, where the boundary conditions of the plate are assumed to be clamped and the plate is assumed to have geometrically perfect.
References
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Journal ArticleDOI
Manufacture, characterisation and application of cellular metals and metal foams
TL;DR: The possibilities for manufacturing metal foams or other porous metallic structures are reviewed in this article, where various manufacturing processes are classified according to the state of matter in which the metal is processed, such as solid, liquid, gaseous or ionised.
Book
The Behavior of Sandwich Structures of Isotropic and Composite Materials
TL;DR: In this paper, Navier et al. presented a solution for the bending of a composite material Sandwich Plate, with mid-plane symmetry and no bending-twisting coupling.
Journal ArticleDOI
Analysis of elastic modulus of conventional foams and of re-entrant foam materials with a negative Poisson's ratio
J.B Choi,Roderic S. Lakes +1 more
TL;DR: In this paper, Young's modulus of conventional and re-entrant open cell foams are obtained by modeling the three-dimensional unit cell as an idealized 14-sided unit cell.
Journal Article
Elastic buckling of a porous beam
TL;DR: In this article, a straight beam of a rectangular cross-section pivoted at both ends and loaded with a lengthwise compressive force is considered, where the modulus of elasticity is minimal on the beam axis and assumes maximum values at its top and bottom surfaces.