Development Of Finite Element Analysis Research Articles

An extension of Herrmann's principle to nonlinear elasticity

A variational formulation for finite isothermal deformations of isotropic hyperelastic materials is presented. This is equivalent to nonlinear elastic field (Lagrangean) equations expressed in terms of the displacement field and a scalar function that is associated with the hydrostatic mean stress when specialized to classical elasticity. The variational formulation is particularly useful in the development of finite element analysis of nearly incompressible and incompressible materials. For slightly compressible materials small volume changes are not assumed in our model. The formulation gives a reasonable transition of results for materials varying from compressible to incompressible and is general in the sense that it admits a general form of constitutive equation. The formulation for incompressible materials is recovered from the compressible one simply as a limit. It can be considered as an extension of Herman's principle to nonlinear elasticity. Several numerical simulations are presented that show the performance of the proposed formulation and the convergence behavior of different types of elements for compressible and incompressible elasticity.

The finite element method as a research and teaching tool in the analysis of local skin flaps.

The finite element analysis (FEA) is a recently introduced method in biomechanics that permits modeling of complex structures considering them as an aggregate of small elements. Skin flaps are highly suggested to be amenable to the continuum mechanic laws that underly the development of FEA. A combination of "large deformation analysis," based on FEA with the criteria for skin flap selection, was attempted. Serial defects were experimentally created on piglet skin stripes, which were consequently covered through designing appropriate flaps. Skin samples were modeled after the development of a computer FEA program and they were scanned by incorporating their photographs. On the graphic interfaces the flap movement, the closure of the defect, and the whole deformation were found to match with the skin stripe postincisional alterations. This work permits the prediction and offers planning guides for different skin reconstructions.

Some recent trends and developments in finite element analysis for incompressible thermal flows

AbstractA numerical procedure for solving the time‐dependent, incompressible Navier–Stokes and energy equations is presented. The present method is based on a set of finite element equations of the primitive variable formulation, and a time‐splitting procedure which has unique features in its formulation as well as in its evaluation from the viewpoint of efficiency and accuracy. The applicability of the proposed formulation was verified by computations and comparison with known results.

Some recent developments in finite element analysis

A survey of some recent results in the development of adaptive finite element software systems is presented. The points of view and terminology are those of an engineer-analyst and emphasis is on applications to structural stress analysis.