A three-dimensional nonlinear finite-element model of a 22-day-old newborn ear canal is presented. The geometry is based on a clinical x-ray CT scan. A nonlinear hyperelastic constitutive law is applied to model large deformations. The Young's modulus of the soft tissue is found to have a significant effect on the ear-canal volume change, which ranges from approximately 27% to 75% over the stat...

We study the stability of magnetorheological elastomers (MREs) undergoing finite deformations in the presence of a magnetic field and derive a general condition for the onset of macroscopic instabilities. In particular, we focus on anisotropic MREs with magnetoactive particles that are aligned along a particular direction, forming chain-like structures. We idealize the microstructure of such an...

We present a variational model to study the quasistatic growth of brittle cracks in hyperelastic materials, in the framework of finite elasticity, taking into account the non-interpenetration condition.

1. Abstract Equations governing the behavior of rectangular plates made of functionally graded materials (FGMs) are determined in this paper using the variational approach. Derivation of such equations is based on Reissner–Mindlin plate theory that is extended to handle two-constituent material distribution through the thickness. Material properties are assumed to vary with the power law in ter...

[Reaction: see text] A hydrocarbon oxidation approach has been applied to the construction of several linear (E)-allylic alcohols that have served as intermediates in the synthesis of natural products and natural product-like molecules. In the original syntheses, these intermediates were constructed using a standard Wittig-type olefination approach. We report here that routes to these same inte...

This paper presents an overview on applications of HFS-FEM to functionally graded materials. Recent developments on the hybrid fundamental solution (HFS) based finite element model (FEM) of steady-state heat transfer, transient heat conduction, nonlinear heat transfer, and elastic problems of functionally graded materials (FGMs) are described. Formulations for all cases are derived by means of ...

Non-invasive measurements of glucocorticoid (GC) concentrations, including cortisol and corticosterone, serve as reliable indicators of adrenocortical activities and physiological stress loads in a variety of species. As an alternative to invasive analyses based on plasma, GC concentrations in saliva still represent single-point-of-time measurements, suitable for studying short-term or acute st...

The aim of this paper is to establish a nonlinear variational approach to the reconstruction of moving density images from indirect dynamic measurements. Our approach is to model the dynamics as a hyperelastic deformation of an initial density including preservation of mass. Consequently we derive a variational regularization model for the reconstruction, which besides the usual data fidelity a...

In this work, we derive a closed-form criterion for the onset of cavitation in compressible, isotropic, hyperelastic solids subjected to non-symmetric loading conditions. The criterion is based on the solution of a boundary value problem where a hyperelastic solid, which is infinite in extent and contains a single vacuous inhomogeneity, is subjected to uniform displacement boundary conditions. ...

In this paper we introduce a elastic and hyperelastic model to describe the pressure dependent material stress in joint cartilage. We used the pressure dependent E-modulus E = f(s) to calculate the material stress. E = f(s) is a degree 4 polynomial [1]. The indentor was pressed 0.4 mm into the tissue. The results show that the maximal stress at the contact zone between indentor and cartilage ac...