In this paper, we use high order compact finite difference methods to solve one-dimensional Bratu-type equations numerically. The convergence analysis of the methods are discussed and it is shown that the theoretical order of the method is consistent with its numerical rate ofconvergence. We calcula...

In this paper, the wave propagation approach is presented to analyze the vibration and wave power reflection in FG rectangular plates based on first order shear deformation plate theory. Wave propagat

This paper demonstrates a study on some significant latest i ovations in the approximated techniques to find the approximate solutions of Caputo fractional Volterra-Fredholm integro-differential equations. To apply this, the study uses modified Adomian decomposition method (MADM) and modified variat...

At high altitudes, the air pressure is much lower than it is at sea level and contains fewer oxygen molecules and less oxygen is taken at each breath. This requires more deep and rapid breathing to ge

In this note, small amplitude free vibration of a double-beam system in presence of i er layer nonlinearity investigated. The nonlinearity is due to i er layer material and is not related to large a

In this paper, the equivalent linearization method with a weighted averaging proposed by Anh (2015) is applied to analyse the transverse vibration of quintic nonlinear Euler-Be oulli beams subjected to the axial loads. The proposed method does not require small parameter in the equation which is dif...

This study targets the behavior of shear buildings equipped with tuned liquid column dampers (TLCD) which attenuates dynamic load induced vibration. TLCDs are a passive damping system used in tall buildings. This kind of damper has proven to be very efficient, being an excellent alte ative to mass d...

In this paper, free convection flow and heat transfer of nanofluids of different shapes nano-size particles over a vertical plate at very low and high Prandtl number are analyzed. The gove ing system

In this article, a new low-dimensional modelling approach, based on the proper orthogonal decomposition (POD) method, is presented. After projecting the gove ing equations of flow dynamics along POD

This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM). A semi-ana

Self-healing concrete (SHC) has received a tremendous attention due to its advanced ability of automatic crack detection and crack repairing compared to standard concrete. Two main approaches considered to-date of self-healing mechanism are autogenous and autonomous healing. In the past several year...

The use of composite materials is an effective technique to enhance the capacity of reinforced concrete columns subjected to seismic loading due to their high tensile strength. In this paper, numerica

Peridynamics (PD) is a nonlocal continuum theory based on integro-differential equations without spatial derivatives. The elongation fracture criterion is implicitly incorporated in the PD theory and

The influence of physical damping on the numerical stability of time integration analysis is an open question since decades ago. In this paper, it is shown that, under specific very general conditions, physical damping can be disregarded when studying the numerical stability. It is also shown that, ...

Up to now, a few formulas have been suggested by scholars for the amount of discharge from openings, however, the effect of opening's geometry on the amount of discharge has not addressed thoroughly.

This paper reformulates a time-discontinuous finite element method (TD-FEM) based on a new class of shape functions, called complex Fourier hereafter, for solving two-dimensional elastodynamic problem

In this paper, a generalized particle system (GPS) method, a general method to describe multiple strong form representation based particle methods is described. Gradient, divergence, and Laplacian ope

Pipes are widely used in many industrial and mechanical applications and devices. Although there are many different constructions according to the specific application and device, these can show helic

Composite axisymmetric shells have numerous applications; many researchers have taken advantage of the general shell element or the semi-analytical formulation to analyze these structures. The present study is devoted to the nonlinear analysis of composite axisymmetric shells by using a 1D three nod...

In a friendly meeting between Professor Manolis Papadrakakis (Technical University of Athens, Athens, Greece), Dr. Michalis Fragiadakis (Technical University of Athens, Athens, Greece), Dr. Vissarion