Elastic buckling and static bending of shear deformable functionally graded porous beam

By Da Chen, Jie Yang, S. Kitipornchai. 2015

504 citations recorded by the source corpus.

This paper presents the elastic buckling and static bending analysis of shear deformable functionally graded (FG) porous beams based on the Timoshenko beam theory. The elasticity moduli and mass density of porous composites are assumed to be graded in the thickness direction according to two different distribution patterns. The open-cell metal foam provides a typical mechanical feature for this study to determine the relationship between coefficients of density and porosity. The partial differential equation system governing the buckling and bending behavior of porous beams is derived based on the Hamilton’s principle. The Ritz method is employed to obtain the critical buckling loads and transverse bending deflections, where the trial functions take the form of simple algebraic polynomials. Four different boundary conditions are considered in the paper. A parametric study is carried out to investigate the effects of porosity coefficient and slenderness ratio on the buckling and bending characteristics of porous beams. The influence of varying porosity distributions on the structural performance is highlighted to shed important insights into the porosity design to achieve improved buckling resistance and bending behavior.

Subfields: Civil and Structural Engineering, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/7f3116f35c43fa3e6c1cc6941c8c5dcb6c94c9c4

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In Civil and Structural Engineering

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

Vibration analysis of functionally graded graphene platelet reinforced cylindrical shells with different porosity distributions (2019, methodology): “[3] studied static bending and buckling of metal foam porous beams with functionally graded (FG) porosities using a shear deformation beam model.”
Modeling and analysis of functionally graded sandwich beams: a review (2019, methodology): “[141] presented the elastic buckling and static bending of FG porous beams with various boundary conditions and two different porosity distributions using the Timoshenko beam theory.”