A Review of the Application of Finite Element Method (FEM) to Localized Corrosion Modeling

CORROSION ◽  
10.5006/3282 ◽  
2019 ◽  
Vol 75 (11) ◽  
pp. 1285-1299 ◽  
Author(s):  
Chao Liu ◽  
Robert G. Kelly
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Technique ◽  
Chemical Species ◽  
Approximate Solutions ◽  
Localized Corrosion ◽  
Fem Modeling ◽  
Different Types ◽  
History Of ◽  
Element Method

The modeling of localized corrosion has usually focused on calculating the spatial and/or temporal distributions of chemical species, potential, and current. These are affected by the reactions considered, the geometry, and the modes of mass transport of importance. Finite element method (FEM) is a numerical technique to obtain approximate solutions to the differential equations based on different types of discretization in which the domain of interest is divided into different types of elements. The introduction of the FEM opened a variety of opportunities for increasing the complexity, and therefore the fidelity, of the localized corrosion conditions considered. This article first briefly introduces the FEM technique before describing the choices the modeler has with regards to the governing equations for the system. The history of the application of FEM to localized corrosion is given, highlighting the different aspects of localized corrosion that have been successfully modeled. Finally, some of the current challenges in FEM modeling of localized corrosion are outlined.

scholarly journals Aspects of the analysis of frame-panel interaction

1971 ◽  
Vol 4 (1) ◽  
pp. 126-144
Author(s):  
P. J. Moss ◽  
A. J. Carr
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Material Nonlinearity ◽  
The Finite Element Method ◽  
Computer Methods ◽  
Different Types ◽  
Failure Properties ◽  
Element Method

Some of the aspects involved in modelling frame-panel interaction by computer methods are discussed. These include the different types of infill and their strength and failure properties, the forces of interaction, and methods for handling material nonlinearity.
 The use of the finite element method to implement the analysis is described and examples are presented to illustrate the application of the method.

The Finite-Element Method—Part I

1989 ◽  
Author(s):  
Shiro Kobayashi ◽  
Soo-Ik Oh ◽  
Taylan Altan
Keyword(s):  
Heat Transfer ◽  
Finite Element Method ◽  
Finite Element ◽  
Ritz Method ◽  
Approximate Solutions ◽  
Plane Elasticity ◽  
Heat Transfer Analysis ◽  
Deformation Analysis ◽  
The Finite Element Method ◽  
Element Method

The concept of the finite-element procedure may be dated back to 1943 when Courant approximated the warping function linearly in each of an assemblage of triangular elements to the St. Venant torsion problem and proceeded to formulate the problem using the principle of minimum potential energy. Similar ideas were used later by several investigators to obtain the approximate solutions to certain boundary-value problems. It was Clough who first introduced the term “finite elements” in the study of plane elasticity problems. The equivalence of this method with the well-known Ritz method was established at a later date, which made it possible to extend the applications to a broad spectrum of problems for which a variational formulation is possible. Since then numerous studies have been reported on the theory and applications of the finite-element method. In this and next chapters the finite-element formulations necessary for the deformation analysis of metal-forming processes are presented. For hot forming processes, heat transfer analysis should also be carried out as well as deformation analysis. Discretization for temperature calculations and coupling of heat transfer and deformation are discussed in Chap. 12. More detailed descriptions of the method in general and the solution techniques can be found in References [3-5], in addition to the books on the finite-element method listed in Chap. 1. The path to the solution of a problem formulated in finite-element form is described in Chap. 1 (Section 1.2). Discretization of a problem consists of the following steps: (1) describing the element, (2) setting up the element equation, and (3) assembling the element equations. Numerical analysis techniques are then applied for obtaining the solution of the global equations. The basis of the element equations and the assembling into global equations is derived in Chap. 5. The solution satisfying eq. (5.20) is obtained from the admissible velocity fields that are constructed by introducing the shape function in such a way that a continuous velocity field over each element can be denned uniquely in terms of velocities of associated nodal points.

Buckling analysis of plates of arbitrary shape

1984 ◽  
Vol 26 (1) ◽  
pp. 77-91 ◽  
Author(s):  
D. Bucco ◽  
J. Mazumdar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Arbitrary Shape ◽  
Numerical Technique ◽  
Buckling Analysis ◽  
Contour Method ◽  
Elastic Plates ◽  
Standard Finite Element Method ◽  
Thin Elastic Plates ◽  
Element Method

AbstractA simple and efficient numerical technique for the buckling analysis of thin elastic plates of arbitrary shape is proposed. The approach is based upon the combination of the standard Finite Element Method with the constant deflection contour method. Several representative plate problems of irregular boundaries are treated and where possible, the obtained results are validated against corresponding results in the literature.

Application of FEM Modeling to Simulate Metal Flow in Forging a Titanium Alloy Engine Disk

1983 ◽  
Vol 105 (4) ◽  
pp. 251-258 ◽  
Author(s):  
S. I. Oh ◽  
J. J. Park ◽  
S. Kobayashi ◽  
T. Altan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Titanium Alloy ◽  
Metal Flow ◽  
The Finite Element Method ◽  
Fem Modeling ◽  
Forging Process ◽  
Deformation Mechanics ◽  
Effects Of Temperature ◽  
Element Method

The isothermal forging of a titanium alloy engine disk is analyzed by the rigid-viscoplastic finite element method. Deformation mechanics of the forging process are discussed, based on the solution. The effects of temperature and heat conduction on the forging process are also investigated by coupled thermo-viscoplastic analysis. Since the dual microstructure / property titanium disk can be obtained by controlling strain distribution during forging, the process modeling by the finite element method is especially attractive.

Element Selection and Meshing in Finite Element Contact Analysis

2010 ◽  
Vol 152-153 ◽  
pp. 279-283
Author(s):  
Run Bo Bai ◽  
Fu Sheng Liu ◽  
Zong Mei Xu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Contact Problem ◽  
Nonlinear Problem ◽  
Mechanical Engineering ◽  
Contact Analysis ◽  
The Finite Element Method ◽  
Different Types ◽  
Set Up ◽  
Element Method

Contact problem, which exists widely in mechanical engineering, civil engineering, manufacturing engineering, etc., is an extremely complicated nonlinear problem. It is usually solved by the finite element method. Unlike with the traditional finite element method, it is necessary to set up contact elements for the contact analysis. In the different types of contact elements, the Goodman joint elements, which cover the surface of contacted bodies with zero thickness, are widely used. However, there are some debates on the characteristics of the attached elements of the Goodman joint elements. For that this paper studies the type, matching, and meshing of the attached elements. The results from this paper would be helpful for the finite element contact analysis.

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