Finite Element Method: An Overview

Authors

  • Vishal JAGOTA Department of Mechanical Engineering, Shoolini University, Solan
  • Aman Preet Singh SETHI Department of Mechanical Engineering, B.B.S.B. Engineering College, Fatehgarh
  • Khushmeet KUMAR Department of Mechanical Engineering, Shoolini University, Solan

Keywords:

FEM, discretization, numerical analysis, approximate solution

Abstract

The finite element method (FEM) is a numerical analysis technique for obtaining approximate solutions to a wide variety of engineering problems. A finite element model of a problem gives a piecewise approximation to the governing equations. The basic premise of the FEM is that a solution region can be analytically modeled or approximated by replacing it with an assemblage of discrete elements (discretization). Since these elements can be put together in a variety of ways, they can be used to represent exceedingly complex shapes.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Author Biographies

Vishal JAGOTA, Department of Mechanical Engineering, Shoolini University, Solan

Assistant Professor, Department of Mechanical Engineering

Aman Preet Singh SETHI, Department of Mechanical Engineering, B.B.S.B. Engineering College, Fatehgarh

Professor, Department of Mechanical Engineering

Khushmeet KUMAR, Department of Mechanical Engineering, Shoolini University, Solan

Assistant Professor, Department of Mechanical Engineering

References

RW Clough. The finite element method in plane stress analysis. In: Proceedings of the 2nd ASCE Conference on Electronic Computation, Pittsburgh, 1960.

R Courant. Variational methods for the solutions of problems of equilibrium and vibrations. Bull. Am. Math. Soc. 1943; 49, 1-23.

A Hrenikoff. Solution of problems in elasticity by the framework method. J. Appl. Mech. 1941; 8, 169-75.

D McHenry. A lattice analogy for the solution of plane stress problems. J. Inst. Civ. Eng. 1943; 21, 59-82.

NM Newmark. Numerical Methods of Analysis in Engineering. In: LE Grinter (ed.). Macmillan, New York, 1949.

G Kron. Tensorial analysis and equivalent circuits of elastic structures. J. Franklin Inst. 1944; 238, 399-442.

G Kron. Equivalent circuits of the elastic field. J. Appl. Mech. 1944; 66, A149-A161.

H Argyris. Energy theorems and structural analysis. Aircraft Eng. 1954; 26, 347-94.

H Argyris. Energy theorems and structural analysis. Aircraft Eng. 1955; 27, 42-158.

H Argyris. The matrix theory of statics. (in German) Ingenieur Archiv. 1957; 25, 174-92.

JH Argyris. The analysis of fuselages of arbitrary cross-section and taper. Aircraft Eng. 1959; 31, 62-283.

JH Argyris and S Kelsey. Energy theorems and structural analysis. Butterworth, London, 1960.

J Turner, RW Clough, HC Martin and LC Topp. Stiffness and deflection analysis of complex structures. J. Aeronaut. Sci. 1956; 23, 805-54.

C Zienkiewicz and YK Cheung. Finite elements in the solution of field problems. Engineer. 1965; 220, 507-10.

Downloads

Published

2013-01-28

How to Cite

JAGOTA, V., SETHI, A. P. S., & KUMAR, K. (2013). Finite Element Method: An Overview. Walailak Journal of Science and Technology (WJST), 10(1), 1–8. Retrieved from https://wjst.wu.ac.th/index.php/wjst/article/view/499

Issue

Section

Review Article