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CIRP Encyclopedia of Production Engineering pp 1–6Cite as

Finite Element Analysis

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Synonyms

FEA; FEM; Finite elements; Numerical methods; Simulation

Definition

Finite Element Analysis (FEA) is based on the Finite Element Method (FEM). The FEM is a mathematical method which transforms an analytically difficult to solve or unsolvable problem described by a variational formulation or by a system of differential equations into an algebraic problem. The under consideration overall system structure is replaced by a calculation model that divides the structure into a number of small subdivisions (finite elements). If the mechanical problem is described by a differential equation, the equation must be transformed into a variational formulation. The unknown and the variational function are then approximated by a simple interpolation polynomial. By determining that the coefficients of the variational function can take every possible value, an algebraic system of equations is obtained, with which the coefficients of the interpolation function for the unknown can be determined....

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References

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Authors and Affiliations

  1. Institute of Forming Technology and Machines (IFUM), Leibniz Universität Hannover (LUH), Garbsen, Germany

    Bernd-Arno Behrens

Authors
  1. Bernd-Arno Behrens
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Corresponding author

Correspondence to Bernd-Arno Behrens .

Editor information

Editors and Affiliations

  1. Engineering, paris, France

    The International Academy for Production

Section Editor information

  1. Institute of Forming Technology and Machines (IFUM), Leibniz Universität Hannover (LUH), Garbsen, Germany

    Bernd-Arno Behrens

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Behrens, BA. (2018). Finite Element Analysis. In: The International Academy for Production (eds) CIRP Encyclopedia of Production Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35950-7_16824-1

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  • DOI: https://doi.org/10.1007/978-3-642-35950-7_16824-1

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-35950-7

  • Online ISBN: 978-3-642-35950-7

  • eBook Packages: Springer Reference EngineeringReference Module Computer Science and Engineering

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