This paper presents the application of the hybrid finite element-element free Galerkin (FE-EFG) method for the forward and inverse problems of electrical impedance tomography (EIT). The proposed method is based on the complete electrode model. Finite element (FE) and element-free Galerkin (EFG) methods are accurate numerical techniques. However, the FE technique has meshing task problems and th...

ABSTRACT Soft materials, such as soft biological tissue and silicone rubber, are non-linear materials which require the classical uniaxial biaxial tensile testing methods for characterisation. Unfortunately, in special cases, tissue, samples smaller than 10 mm χ size these produce unwanted stress strain gradients due to fastening techniques associated with methods. Micro-indentation is proposed...

In geometric inverse problems, it is assumed that some parts of domain boundaries are not accessible and geometric shape and dimensions of these parts cannot be measured directly. The aim of inverse geometry problems is to approximate the unknown boundary shape by conducting some experimental measurements on accessible surfaces. In the present paper, the artificial neural network is used to sol...

This work is concerned with the development of inverse-type inequalities for piecewise polynomial functions and, in particular, functions belonging to hp-finite element spaces. The cases of positive and negative Sobolev norms are considered for both continuous and discontinuous finite element functions.The inequalities are explicit both in the local polynomial degree and the local mesh size.The...

In this study, shear and peel stress distributions in the viscoelastic adhesive layer of a single-lap joint (SLJ) with functionally graded (FG) adherends are investigated. The study focuses on the effect of different adherend profiles and material composition on the time-dependent stress concentration/distribution in balanced and unbalanced SLJs. For this purpose, the Reddy model is applied to ...

A hybrid approach to determining cornea mechanical properties in vivo using a combination of nano-indentation and inverse nite element analysis This item was submitted to Loughborough University's Institutional Repository by the/an author. A hybrid approach to determining cornea mechanical properties in vivo using a combination of nano-indentation and inverse nite element analysis. A hybrid app...

We present a range of mesh-dependent inequalities for piecewise constant and continuous piecewise linear finite element functions u defined on locally refined shape-regular (but possibly nonquasi-uniform) meshes. These inequalities involve norms of the form �h � u� W s,p (Ω) for positive and negative s and �, where h is a function which reflects the local mesh diameter in an appropriate way. Th...