Analysis of sandwich beam structures using kriging based higher order models

Abstract

a b s t r a c tFunctionally graded composite materials can provide continuously varying properties, which distribution can vary according to a specific location within the composite. More frequently, functionally graded materials consider a through thickness variation law, which can be more or less smoother, possessing however an important characteristic which is the continuous properties variation profiles, which eliminate the abrupt stresses discontinuities found on laminated composites. This study aims to analyze the transient dynamic behavior of sandwich structures, having a metallic core and functionally graded outer layers. To this purpose, the properties of the particulate composite metal-ceramic outer layers, are estimated using Mori-Tanaka scheme and the dynamic analyses considers first order and higher order shear deformation theories implemented though kriging finite element method. The transient dynamic response of these structures is carried out through Bossak-Newmark method. The illustrative cases presented in this work, consider the influence of the shape functions interpolation domain, the properties through-thickness distribution, the influence of considering different materials, aspect ratios and boundary conditions.

Assessing Static and Dynamic Response Variability due to Parametric Uncertainty on Fibre-Reinforced Composites

“…with the transformed reduced elastic stiffness coefficients given in the literature [11,12]. The coefficients σ stand for the stress tensor components and ε and γ represent the normal and total shear strains, respectively.…”

“…Accordingly, the stress-strain relationships for each ply in the laminate coordinate system can be written as: (1) with the transformed reduced elastic stiffness coefficients given in the literature [11,12]. The coefficients σ ij stand for the stress tensor components and ε ii and γ ij represent the normal and total shear strains, respectively.…”

Dynamic Response of Soft Core Sandwich Beams with Metal-Graphene Nanocomposite Skins

“…The correlation coefficient was set to the value 2 (Loja et al [33]). It is relevant to note that the use of these interpolants does not require the later use of selective integration for the shear stiffness coefficients matrix.…”

A study on the structural behaviour of FGM plates static and free vibrations analyses

“…These interpolation functions are adequate to be used within FEM as they have the Kronecker delta and consistency properties. Moreover, the adaptation of an existing FEM code to be able to use these interpolating functions is easily carried out [9].…”

“…These topics will be considered in the present work, where dual-phase FGMs, are studied. The first distribution law considered in this work is the power exponent law [9] and according to the present formulation, and the cases that will be further studied, it returns the volume fraction of ceramic inclusions that exists at a specific coordinate (z) across the thickness (h) of the plate. This distribution law is given as:…”