Mechanical properties of rocks with inclusions, which may correspond to porous rocks under limiting conditions, are influenced by their shape, distributions, and intrinsic properties. Many different averaging methods such as homogenization, micro-mechanics and microstructure methods are proposed to estimate average thermo-hydro-mechanical properties of rocks. In this paper, the authors evaluate...

The finite element method can be viewed as a machine that automates the discretization of differential equations, taking as input a variational problem, a finite element and a mesh, and producing as output a system of discrete equations. However, the generality of the framework provided by the finite element method is seldom reflected in implementations (realizations), which are often specializ...

We develop an adaptive nite element algorithm for reactive ow simulations. The underlying equations are the Navier-Stokes equations for low-Mach-number ows and an additional system of convection-diiusion-reaction equations for the chemical species. Especially in combustion problems the reaction terms are very stii and nonlinear. This set of equations represents a complicated system of PDEs whic...

Good slip resistant tread patterns of outer-sole of military boot are vital to minimize the risk or severity of slip in combat and physical training situations. A series of non-linear, three-dimensional finite element analyses of footwear and ground interaction based upon the Drucker-Prager elastic-perfectly plastic material model was investigated. This study was aimed at how plastic failure of...

The present study presents a new methodology developed for an analytical model of a composite fuselage. It also presents finite element analyses of a simplified model and comparisons with more complete models. These comparisons show that there is a very good correlation between both models for the cases studied. Therefore, the applicabilty of the proposed procedure was demonstrated. Based on fi...

We address the Korteweg-de Vries equation as an interesting model of high order partial differential equation, and show that using the classical spectral element method, i.e. a high order continuous Galerkin approximation, it is possible to develop satisfactory schemes, in terms of accuracy, computational efficiency, simplicity of implementation and, if required, conservation of the lower invar...

The paper proposed the practical metal cutting process using FEM to simulate the traditional cutting process, the simulation and the analysis of the results are based on the support of DEFORM3D finite element software, and the characteristic between Galerkin Algorithm and FEM analysis is also analyzed. Then the paper processed the modeling procedure for FEM using Lagrange and Euler algorithm, t...

The deformation of aeronautical monolithic components due to CNC machining is a bottle-neck issue in the aviation industry. The residual stress releases and redistributes in the process of material removal, and the distortion of the monolithic component is generated. The traditional one-side machining method will produce oversize deformation. Based on the three-stage CNC machining method, the q...

Many science and engineering problems can be mathematically modeled as a boundary value problem. Thus, it is very important to build a method to solve for a boundary value problem. For some simple boundary value problems, for example, a two-dimensional Laplace equation, it may be possible to solve it analytically by separation of variables. However, in most applications, boundary value problems...

Extended finite element method (XFEM) is the most effective numerical method to solve discrete mechanical problem. Crack growth problem of two-dimension finite length rectangle panel is researched based on Abaqus XFEM frame. Stress intensity factor is obtained respectively by theoretical calculation and XFEM simulation, which proves reliability of XFEM and the software.