Finite elements computational modeling of coupled elastic waveguides

Computational modeling of effects of alloying elements on elastic coefficients

Models for composition and temperature dependencies of single-crystal elastic stiffness coefficients are developed and applied to the Al12Mg17 and hexagonal closed-packed solution phases in the Mg–Al system based on data from first-principles calculations. In combination with models for multi-phases, the bulk, shear, and Young’s moduli of Mg–Al alloys are predicted and compared with available e...

Finite elements in computational electromagnetism

This article discusses finite element Galerkin schemes for a number of linear model problems in electromagnetism. The finite element schemes are introduced as discrete differential forms, matching the coordinate-independent statement of Maxwell’s equations in the calculus of differential forms. The asymptotic convergence of discrete solutions is investigated theoretically. As discrete different...

Computational and Programming Aspects of Transition Elements in a Three-dimensional Finite Element Program

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...

3-d Modeling of Coupled Subsurface Flow-stress by Mixed Finite Elements

The accurate simulation of coupling between flow and stress in saturated porous media is a major issue in a broad variety of fields, ranging from reservoir engineering to biomechanics. Despite the intensive research carried out in recent years, the numerical solution to the partial differential equations governing the behaviour of real fluid saturated heterogeneous porous media still represents...

Finite element optical modeling of liquid crystal waveguides