Static behaviour of two-directional functionally graded sandwich beams using various beam theories

Abstract

This paper presents the static behaviour of two-directional functionally graded sandwich beams by using the Euler-Bernoulli, Timoshenko and Reddy-Bickford beam theories and the Symmetric Smoothed Particle Hydrodynamics (SSPH) method. The SSPH code developed based on the present formulation of the functionally graded sandwich beam is validated by solving a simply supported conventional functionally graded beam problem. Numerical results which are in terms of maximum dimensionless transverse deflections, dimensionless axial and transverse shear stresses are compared with the analytical solutions and the results from previous studies. Various FG sandwich beam structures are investigated by considering different beam theories, aspect ratios (L/h) and sets of boundary conditions and using power-law distribution.

Mechanical Behavior of 2D FGP Beam with Uneven Porosity Distribution

“…A 2D FGP beam with length L = 1m, b = 0.1m, length to thickness ratio L/h = 20 and distributed load q = 10 4 N/m is considered and the material properties can be seen in Table 1 for two-phase. L as well as all results related to this proposed method for boundary condition (CC_clamped-clamped) are compared with other solutions from [9] by author Karamanli based on Smoothed Particle Hydrodynamics (SSPH) method as shown in Table 2 under coefficient of porosity  = 0. It can be seen that the results obtained from this study are approximate with the solutions of SSPH method.…”

“…In recent years, functionally graded structures have been used in many modern engineering applications due to varying material properties over dimensions which allow them to improve the strength of material, high resistance to temperature shocks and high strength to weight ratio. Authors [1][2][3][4][5][6][7][8][9][10][11][12] devoted a considerable number of studies to predicting and to understanding the mechanics of functionally graded structures. In [1], the main idea of this paper's developed method was the control over the produced gradient and did not require burning binder phase.…”

Nonlinear buckling and post-buckling analyses of functionally graded circular shallow arches

“…For the specified geometry, the difference between the results of the Euler-Bernoulli theorem and the higher order theories considering the transverse shear deformation is negligible. 115–120 Therefore, the displacement field is given as follows 105,121–123 :…”

Dynamic Analyses of Two-Dimensional Functionally Graded Timoshenko Beam using Finite element Method

“…For example. Karamanli [6] illustrated the bending analysis of laminated beams with two-directional FG material based on different theories (Euler-Bernoulli (EB), First order shear deformation (FOSD) and Reddy-Bickford). Several parameters were studied, such as aspect ratio, BCs, PL index, and sandwich structures.…”