REASONS FOR PERFORMING STUDY To improve understanding of the internal structure of the proximal phalanx (P1), response of the bone to load and possible relation to the pathogenesis of fractures in P1. OBJECTIVES To model the P1 and replicate the loads experienced by the bone in stance, walk, trot and gallop using finite element analysis. METHODS The geometry of the P1 was captured using mic...

Stress magnitude and variability as estimated from large scale finite element (FE) analyses have been associated with compressive strength of human vertebral cancellous cores but these relationships have not been explored for whole vertebral bodies. In this study, the objectives were to investigate the relationship of FE-calculated stress distribution parameters with experimentally determined s...

In this paper an optimal control approach for thermal stress reduction inside a Czochralski grown single crystal is presented. Using the lateral heat flux as a control variable, an optimal control formulation for minimizing thermal stress with a given crystal shape is derived. Since thermal stress is also affected by the lateral shape of crystals during growth, the level of the stress can be re...

Purpose. To analyze the stress distribution in an endodontically treated maxillary central incisor restored with various post-core systems and assess the benefit of ferrule using finite element analysis. Material and Methods. Twelve models with metal ceramic crown were created based on the combination of three types of post-core systems (titanium post-composite resin core, nickel-chromium post-...

dz d2Z On the plate, —= —2(1 — x) and u is zero and so from (1), —is infinite. This ox dyf/2 unpleasant singularity on the plate caused Görtier [1] to abandon finite difference methods of solution of the von Mises equation and it looked as if the comparative simplicity of ( 1 ) could never be utilized from the point of view of numerical solution. Thomson and the present author [2], however, sho...

In this paper we provide three nonparametric tests of independence between continuous random variables based on Bernstein copula and copula density. The first test is constructed based on functional of Cramér-von Mises of the Bernstein empirical copula. The two other tests are based on Bernstein density copula and use Cramér-von Mises and Kullback-Leiber divergencetype respectively. Furthermore...

In this article we derive the deflection equation of a simple beam using screw theory. The effects of tension, torsion and bending of the beam can be unified into a single equation. We begin by looking at the compliance matrix for small elements of the beam. This is loosely based on work by von Mises in the 1920s. We reproduce von Mises results for the compliance matrix of the entire beam by in...

The von Mises distribution is a maximum entropy distribution. It corresponds to the distribution of an angle of a compass needle in a uniform magnetic eld of direction, , with concentration parameter,. The concentration parameter, , is the ratio of the eld strength to the temperature of thermal uctuations. Previously, we obtained a Bayesian estimator for the von Mises distribution parameters us...