Industrial Mathematics
Laith O Mazahreh; Ibrahim M. Abu-Alshaikh
Abstract
In this paper, layerwise finite element analysis for the free vibration behavior of two-dimensional functionally graded sandwich plates with different boundary conditions is presented. The plates consist of three layers; a functionally graded layer embedded between ceramic and metal isotropic layers. ...
Read More
In this paper, layerwise finite element analysis for the free vibration behavior of two-dimensional functionally graded sandwich plates with different boundary conditions is presented. The plates consist of three layers; a functionally graded layer embedded between ceramic and metal isotropic layers. The layerwise approach is based on the third order shear deformation theory for the middle layer, while the first order shear deformation theory is used to model both the upper and lower isotropic layers. Quadrilateral 8-noded element with 13-degrees of freedom per node is used for this purpose. The present results show very good agreements with the published analytical results of plates consist of a single functionally graded layer. Furthermore, for sandwich plates good agreements were obtained when the present results are compared with similar problems solved by other methods in literature. Parametric studies were investigated for various plate parameters including applied boundary conditions, volume fraction exponents and plate side to thickness ratio.
Engineering Modeling
Laith O. Mazahreh; Ibrahim Mousa Abu-Alshaikh
Abstract
In this paper, layerwise finite element analysis for the bending behavior of two-dimensional functionally graded layered plates with different boundary conditions is presented. The plates consist of three layers; a functionally graded layer embedded between ceramic and metal isotropic layers. The layerwise ...
Read More
In this paper, layerwise finite element analysis for the bending behavior of two-dimensional functionally graded layered plates with different boundary conditions is presented. The plates consist of three layers; a functionally graded layer embedded between ceramic and metal isotropic layers. The layerwise approach is based on the third-order shear deformation theory for the middle layer, while the first-order shear deformation theory is used for both the upper and lower isotropic layers. A quadrilateral 8-noded element with 13-degrees of freedom per node is used for this purpose. The present results show very good agreements with the published results for similar problems in literature solved by other methods of plates consist of either single or layered functionally graded plates.
Engineering Modeling
Ibrahim Mousa Abu-Alshaikh
Abstract
The dynamic response of a homogeneous elastic simply-supported beam subjected to a load system moving with a uniform velocity is studied in detail in this paper. Analytical expressions for the dynamic responses of the beam and the load-moving system are obtained by means of a new technique using decomposition ...
Read More
The dynamic response of a homogeneous elastic simply-supported beam subjected to a load system moving with a uniform velocity is studied in detail in this paper. Analytical expressions for the dynamic responses of the beam and the load-moving system are obtained by means of a new technique using decomposition method whereby the generalized displacement of the beam is written as an infinite series. The method is versatile and simple so that its application to other related problems is possible. Comparisons between different cases of load-moving systems are made clear. Interaction, load, mass, velocity effects on the beam as well as on the load-moving system are investigated. It is concluded that the inertia effect of the load-moving system cannot be neglected when the traveling velocity and its mass ratio to that of the beam are large.
Computational modelling
Othman Al-Hawamdeh; Ibrahim Mousa Abu-Alshaikh; Naser Al-Huniti
Abstract
Detailed formulation and coding of exact finite element is carried out to study the static behavior of a layered beam structure. The beam element is modelled based on the first-order shear deformation theory and it is assumed to be composed of three layers whereas the middle layer is made of functionally ...
Read More
Detailed formulation and coding of exact finite element is carried out to study the static behavior of a layered beam structure. The beam element is modelled based on the first-order shear deformation theory and it is assumed to be composed of three layers whereas the middle layer is made of functionally graded material (FGM), i.e. with variable elastic properties in the thickness direction. The shape of the FGM mechanical properties variation in the thickness direction takes the form of exponential or power-law. The governing equations and boundary conditions are derived by applying the virtual work principle. Variations of displacements along the beam and stresses across the depth due to mechanical loadings are investigated. Comparative examples are carried out to highlight the static behavior difference between FGM layered beams and pure metal-ceramic beams.