An accurate coupled field piezoelectric beam finite element formulation is presented. The formulation is based on First-order Shear Deformation Theory (FSDT) with layerwise electric potential. An appropriate through-thickness electric potential distribution is derived using electrostatic equilibrium equations, unlike conventional FSDT based formulations which use assumed independent layerwise l...

Numerical formulations of density functional theories for inhomogeneous fluids (Fluid-DFTs) require the solution of large systems of equations with many degrees of freedom (DOFs) per node on a computational grid. Historically solvers for these problems have used simple Picard iterations across DOFs or, more recently, fully-coupled general algebraic techniques. In this paper we look at Fluid-DFT...

We derive and analyze two equivalent integral formulations for the time-harmonic electromagnetic scattering by a dielectric object. One is a volume integral equation (VIE) with a strongly singular kernel and the other one is a coupled surface-volume system of integral equations with weakly singular kernels. The analysis of the coupled system is based on standard Fredholm integral equations, and...

Analysis of an aeroelastic bridge system consisting of the fundamental vertical and torsional modes of vibration offers an expeditious assessment of bridge flutter performance. It also produces valuable insight into the multimode coupled bridge response to strong winds. This paper presents closed-form formulations for estimating the modal frequencies, damping ratios, and coupled motions of the ...

Abstract Weak formulations of boundary value problems are the basis various numerical discretization schemes. They classically derived applying method weighted residuals or a variational principle. For electrodynamical and caloric problems, approaches not straightforwardly obtained from physical principles like in mechanics. Maxwell’s equations energy charge balances thus frequently tailored ap...

in this paper, we study the existence of coupled coincidence andcoupled common fixed points for single-valued and fuzzy mappingsunder a contractive condition in metric space. presented theoremsextend and improve the main results of abbas and$acute{c}$iri$acute{c}$ {itshape et al.} [m. abbas, l.$acute{c}$iri$acute{c}$, {itshape et al.}, coupled coincidenceand common fixed point theorems for hybr...

In this paper, new formulations for the energy dissipation of lossy transmission lines driven by CMOS inverters are provided. These formulations are obtained using an approximated expression for the driving-point impedance of lossy coupled transmission lines which itself is derived by solving Telegrapher’s equations. A comprehensive analysis of energy is performed for both step and flattened ra...

Net-shape liquid composite molding (LCM) processes for the manufacturing of composite structures involve the permeation of a reactive thermoset polymeric resin through complex, fiber woven preforms. The physical behavior during the processing thus involves coupled multi-physics phenomena consisting of mass, thermal and species transport. The flow process models based on conservation of mass are...

This work is devoted to a study and summary of different Infinite Element (IE) formulations for Helmholtz problems in arbitrary exterior domains. The theoretical setting for each of the different formulations is presented and related to the mathematical existence theory. The influences of a bilinear or a sesquilinear formulation are discussed as well as possible extensions to other elements. Th...