BEM Formulations Based on Kirchhoff's Hypoyhesis to Perform Linear Bending Analysis of Plates Reinforced by Beams

In this work, are discussed two formulations of the boundary element method - BEM to perform linear bending analysis of plates reinforced by beams. Both formulations are based on the Kirchhoffs hypothesis and they are obtained from the reciprocity theorem applied to zoned plates, where each sub-region defines a beam or a stab. In the first model the problem values are defined along the interfaces and the external boundary. Then, in order to reduce the number of degrees of freedom kinematics hypothesis are assumed along the beam cross section, leading to a second formulation where the collocation points are defined along the beam skeleton, instead of being placed on interfaces. on these formulations no approximation of the generalized forces along the interface is required. Moreover, compatibility and equilibrium conditions along the interface are automatically imposed by the integral equation. Thus, these formulations require less approximation and the total number of the degrees of freedom is reduced. In the numerical examples are discussed the differences between these two BEM formulations, comparing as well the results to a well-known finite element code.

How to Perform and Interpret Testicular Fine Needle Aspiration in Stallions

Although several methods of testicular biopsy have been proposed previously, testicular fine needle aspiration (FNA) has proved to be the simplest, the most rapid, inexpensive, and overall the least invasive technique for obtaining testicular biopsies Testicular FNA is indicated for fertility investigations in stallions with oligozoospermia or azoospermia It is also used for differential diagnosis of testicular enlargement After sedation the stallion's testis is punctured to obtain testicular parenchyma samples containing cells mainly from the seminiferous epithelium the material obtained is used to perform smears which are analyzed for identification and quantification of term cells and Sertoli cells The results are based on the presence of the cell types found in the smears and the proportions of Sertoli cells per germ cells In addition to being a very useful diagnostic tool, testicular FNA is also used for follow-up examinations, as it is minimally invasive

A BEM formulation based on Reissner's theory to perform simple bending analysis of plates reinforced by rectangular beams

In this work, the plate bending formulation of the boundary element method (BEM), based on the Reissner's hypothesis, is extended to the analysis of plates reinforced by rectangular beams. This composed structure is modelled by a zoned plate, being the beams represented by narrow sub-regions with larger thickness. The integral equations are derived by applying the weighted residual method to each sub-region, and summing them to get the equation for the whole plate. Equilibrium and compatibility conditions are automatically imposed by the integral equations, which treat this composed structure as a single body. In order to decrease the number of degrees of freedom, some approximations are considered for both displacements and tractions along the beam width. The accuracy of the proposed model is illustrated by simple examples whose exact solution are known as well as by more complex examples whose numerical results are compared with a well-known finite element code.