Introduction to the Finite Element Method

  • Abraham I. Beltzer


Compared to the direct methods considered earlier, the finite element technique further extends the idea of discretization, this time of the very structure or solid under investigation. This allows to broaden the class of problems amenable to solution so as to include those dealing directly with modern technology. On the other hand, a sufficiently fine mesh and/or high order of approximation within elements, ensure that the error is kept reasonably small. This technique requires the processing of extensive data and may efficiently be implemented with the help of computers only.


Finite Element Method Stiffness Matrix Composite Beam Interpolation Function Trial Function 
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  1. The number of relevant sources is almost endless. Only a few are given below.Google Scholar
  2. Cook, R.D. (1981) Concepts and Applications of Finite Element Analysis, J. Wiley.Google Scholar
  3. Huebner, K.M. (1975) The Finite Element Method for Engineers, Wiley.Google Scholar
  4. Noor, A.K. and Andersen, C.M. (1979) Computerized Symbolic Manipulation in Structural Mechanics—Progress and Potential, Comp. Struct. Vol. 10, pp. 95–118.CrossRefMATHGoogle Scholar
  5. Shames, I.M. and Dym, C.L. (1985) Energy and Finite Element Methods in Structural Mechanics, McGraw Hill.Google Scholar
  6. Timoshenko, S. and Woinowsky-Krieger, S. (1959) Theory of Plates and Shels, McGraw-Hill.Google Scholar
  7. Zienkiewich, O.C. (1986) The Finite Element Method, McGraw-Hill.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Abraham I. Beltzer
    • 1
  1. 1.Holon Institute for Technological EducationAffiliated with Tel Aviv UniversityHolonIsrael

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