Abstract
Many problems in mechanics are governed by harmonic and biharmonic partial differential equations. This chapter presents detail derivation of the finite element matrices for harmonic and biharmonic problems. The finite element matrices for harmonic equations in Cartesian and cylindrical coordinates, axisymmetric condition, are derived.
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Further Readings
Zienkiewicz OC, Cheung YK (1965) Finite elements in the solution of field problems. Eng J 220:507–510
Segerlind LJ (1984) Applied finite element analysis. Wiley, New York
Kantorovich LV, Krylov VI (1964) Approximate methods of higher analysis (trans: Benster CD Interscience Publishers, New York) P. Noordhoff-Groningen, The Netherlands
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© 2014 Springer International Publishing Switzerland
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Eslami, M.R. (2014). Field Problems. 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_5
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DOI: https://doi.org/10.1007/978-3-319-08037-6_5
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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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