This paper focuses on modeling of a coupled magnetoelastic problem. The model for magnetostriction is developed for isotropic ferromagnetic materials commonly used in electrical machines. The constitutive equations of the model are written on the basis of the Helmholtz free energy in which the strain tensor and the magnetic flux density vector are chosen as the basic variables. Numerical soluti...

7000 series aluminum alloys are widely used in the automotive industries for structural lightweight components due to their exceptional high strength to weight ratio. however, this class of aluminum alloy is difficult to join by conventional fusion welding techniques so friction stir welding (fsw) widely is used for welding this alloys. the process has been demonstrated to be effective and is c...

In this paper, we first review the impact of the powerful finite element method (FEM) in structural engineering, and then address the shortcomings of FEM as a tool for riskbased decision making and incomplete-data-based failure analysis. To illustrate the main shortcoming of FEM, i.e., the computational results are point estimates based on “deterministic” models with equations containing mean v...

The purpose of this paper is to present a nearly optimal preconditioned iterative method to solve indeenite linear systems of equations arising from h-adaptive procedures for the symmetric coupling of Finite Elements and Boundary Elements. This solver is nearly optimal in the sense, that its convergence rate grows only logarithmically with the number of unknowns. The algorithm is based on the c...

This note is concerned with the essential part of Finite Element Methods (FEM) approximation error analysis for quasi-Newtonian modelling thixo-viscoplastic (TVP) flow problems. The developed FEM settings thixotropic generalized Navier-Stokes equations based on a constrained monotonicity and continuity coupled system, which cornerstone an efficient monolithic Newton-multigrid solver. manifested...

The fast development of computer power and computational algorithms has made it possible to design complex transducers and arrays using computer simulation. Practical examples are given here for transducer modeling using 3-D finite element method (FEM) instead of the traditional 1-D equivalent circuit models. The merits and deficiencies of the frequency domain and time domain FEM formulations w...

To analyze resonances in an axisymmetric inhomogeneous cavity, a higher-order finite element method (FEM) is developed. Mixed higher-order node-based and edge-based elements are applied to eigenvalue analysis for the azimuthal component and meridian components of the field, respectively. Compared with the lower-order FEM, the higher-order FEM can improve accuracy with the same number of unknown...

An updated Lagrangian implicit FEM model for the analysis of large thermo-mechanically coupled hyperelasticviscoplastic deformations of isotropic porous materials is considered. An appropriate framework for constitutive modelling is introduced that includes a stress-free thermally expanded con9guration and a plastically deformed unstressed damaged con9guration. A two-level iterative scheme is e...

The Boundary Element Method (BEM) can be used to predict the scattering of sound in rooms. It reduces the problem of modelling the volume of air to one involving only the surfaces; hence the number of unknowns scales more favourably with problem size and frequency than it does for volumetric methods such as FEM and FDTD. The time domain BEM predicts the transient scattering of sound, and is usu...