In modern ages between 1980 and 2000, the work on

finite element method has been increased for the implementation in pressure vessels, shell bending and basic three dimension situations in elastic structural analysis [4,5] with also fluid flow and heat transfer [7].

All articles related to the application of 3D

finite element in orthodontics were collected.

Conclusion: Fast, personalized model establishment can simulate fixation dislodgement before operation, and personalized

finite element analysis was performed to successfully predict whether nail dislodgement would disrupt femur fracture or not.

As a powerful tool in computational stochastic mechanics, the stochastic

finite element method (SFEM) appeared.

In the present study, the numerical analyses using

finite element methods, that is, static and dynamic analyses according to the rigid or flexible characteristics of dynamic properties for a 200A butterfly valve in a nuclear power plant, were performed according to the dictates of the KEPIC MFA [3].

With the rapid development of computer technology,

finite element simulation has been developed to study the mechanics of machining, optimization of cutting parameters, cutting tool design, and so forth.

Finite element method based software package COMSOL Multiphysics and its Conjugate Heat Transfer interface was selected to perform the modelling.

The programs are based on the analytical calculation method and

finite element method (FEM), Figure 1.

Babuska, "The

finite element method for elliptic equations with discontinuous coefficients," Commputing, vol.

When finite difference method and standard Galerkin

finite element method are used to solve this model, one have to calculate the derivative of the numerical solution to determine the coefficient.

Two-dimensional plane strain

finite element analyses were carried out in order to obtain the computational stress intensity factor solutions for the pre-existing cracks between the upper and lower sheets near the roots of the continuous welds with idealized and realistic weld geometries.