Abstract
The presentation of the finite element method for the elastic membrane problem, a triangular element with straight sides and linear shape function to approximate the elevation of the elastic membrane due to lateral pressure, was employed. In this chapter, we correct ourself that there is no limitation as far as the geometry of the element and the order of approximation of the shape function is concerned. In one, two, and three dimensional problems elements with higher order geometries and approximating shape functions may be used to prepare a finite element model. Also, since it is always more efficient to employ the local coordinates for the integration purpose of the element stiffness and force matrices, the local and global coordinate systems are discussed and the Jacobian matrix is explained.
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References
Kardestuncer H (ed) (1988) Finite element handbook. McGraw-Hill, New York
Segerlind LJ (1984) Finite element analysis. Wiley, New York
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© 2014 Springer International Publishing Switzerland
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Eslami, M.R. (2014). Elements and Local Coordinates. In: Finite Elements Methods in Mechanics. Solid Mechanics and Its Applications, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-08037-6_4
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DOI: https://doi.org/10.1007/978-3-319-08037-6_4
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08036-9
Online ISBN: 978-3-319-08037-6
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