where ∇ and ∇· are the gradient and divergence operators, Ω ⊂ R is an open bounded cubic domain with boundary Γ, n indicates the outward unit normal vector along Γ, A−1 = (αij)3×3 is a full positive definite matrix uniformly in Ω. Mixed finite element methods [1] should be employed to discretize the system (1.1). The main content of this paper is to present an analysis for the extrapolation of ...

fiber reinforced polymers (frp) have widely used for the purposes of enhances strength and ductility of concrete columns. proper design of such hybrid columns, however, requires a better recognition of the behavior of concrete columns confined with frp. in this paper, the influence of frp thickness, concrete compressive strength, and column size on the performance of eccentrically loaded reacti...

Many practical applications require the analysis of elastic wave propagation in a homogeneous isotropic media in an unbounded domain. One widely used approach for truncating the infinite domain is the socalled method of Perfectly Matched Layers (PMLs). Most existing PML formulations are developed for finite difference methods based on the first-order velocity-stress form of the elastic equation...

‎In this paper we propose a numerical scheme to solve the one dimensional nonlinear Klein-Gorden equation‎. ‎We describe the mathematical formulation procedure in details‎. ‎The scheme is three level explicit and based on nonstandard finite difference‎. ‎It has nonlinear denominator function of the step sizes‎. ‎Stability analysis of the method has been given and we prove that the proposed meth...

A three dimensional realistically shaped mathematical model, to investigate temperature distribution in a 3D IC has been developed taking into account heat carried by thermal vias and heat generation by the heat sources in the various device layers. Keeping in view the various heterogeneous variations of the thermo physical parameters and nature of the various layers, the 3D IC has been divided...

Installing stone columns in the ground is an effective improvement technique to increase the load bearing capacity and reduce the consolidation settlement of the loose or weak cohesive soils. In addition to the increase in the bearing capacity and reduction in the settlement, stone columns can accelerate the dissipation rate of the excess pore water pressure generated by the surcharge, which ex...

In this paper, natural frequencies of the sandwich plates with soft flexible core and composite face sheets are obtained. Three-Dimensional (3D) finite element method (FEM) is used for constructing and analyzing of the sandwich plates to obtain their natural frequencies. Continuity conditions for transverse shear stresses at the interfaces as well as transverse flexibility and transverse normal...

The performance of any finite element (FE) structural analysis is directly related to the global number of nodes and degrees of freedom (DOF) of the discretized structure and mesh distribution attributes. It is obvious that the appropriate numerical analysis needs finer elements in the zone of interest, e.g. zone of high stress concentration and intensity, and coarser elements for farther porti...