Fatigue failure of strucutres is normally caused by cracks that extend beyond a safe size. Flaws are present to some extend in all structural parts, either as a result of manufacturing fabrication defects or damage in service. Crack growth is a complex phenomenon to model and simplifications are assumed. In recent years, there has been an increasing realisation that advanced computational metho...

Thermo-hyperelastic problems at finite strains belong to a category of non-linear coupled problems that impose challenges on their numerical treatment. We present the weak-form for a 1-D coupled, stationary, thermo-hyperelastic system with constant or temperature-dependent material properties. The coupled system is discretized by a ‘monolithic’ high-order finite element method (p-FEM) based on ...

An extended spectral domain approach (ESDA) is applied to evaluate the scattering parameter of laterally slotted coaxial antenna for hyperthermia treatment. The results calculated by ESDA are in good agreement with that by Finite Element Method (FEM) simulation. Computational labor of the present method is far lighter than that of FEM, and the method is suitable for the iterative computation th...

This paper presents research on a non-symmetric damage element developed initially for the Ularc Finite Element Method (FEM) program. The paper outlines the mathematical development of the beam element, provides details of the use of the damage model in the FEM implementation, and sets out the limitations of the method. Recent mathematical research has focussed on implementing a symmetric finit...

Electrophysiological modeling of Magnetoand Electro-encephalography (MEG and EEG) rely on accurate forward solvers that relate source activities to sensor measurements. In comparing a Boundary Element (BEM) and a Finite Element Method (FEM) for forward electroencephalography, in our early numerical experiments, we found the FEM to have a better accuracy than the BEM. This triggered a quest to i...

A numerical approach based on high-order stabilized finite elements is proposed to solve thermo-acoustic and visco-acoustic problems accounting for non-uniform mean flow effects. The the Linearized Navier-Stokes equations written in conservative form frequency domain. An adaptive polynomial Finite-Element Method (FEM) using hierarchic shape functions applied accuracy ease-of-use. new enrichment...

A cortical bone tissue is susceptible to fracture that can be caused by events, such as traumatic falls, sports injuries and traffic accidents. A proper treatment of bones and prevention of their fracture can be supported by in-depth understanding of deformation and fracture behaviour of this tissue in such dynamic events. Parameters such as damage initiation under impact, damage progression an...

the natural vibrations of clamped annular isotropic sector plates are analyzed using the extended kantorovich method (ekm). a conformal mapping is used to transform a sector with identified geometry to a rectangular plate which the solution is available in literature and solved by dalaei and kerr [1] using ekm. the developed iterative scheme converges very rapidly to the final result. the obtai...