Evaluation of h, p and hp FEM for Elastostatic Plane Problems


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Bekiroğlu S. , Ayvaz Y. , Itır Özdemir Y.

The 8th International Congress on Advances in Civil Engineering, Gazimagusa, Kıbrıs (Kktc), 15 - 17 Eylül 2008, ss.123-131

  • Basıldığı Şehir: Gazimagusa
  • Basıldığı Ülke: Kıbrıs (Kktc)
  • Sayfa Sayısı: ss.123-131

Özet

Finite element method (FEM) has become indispensable for numerical simulation in engineering field, especially pure displacement based FEM seems to be conforming in many aspects, such as well-known and easily adaptable method to any other complex analysis like transient and nonlinear ones. This paper firstly gives some impression about production of “p-method” constructed from Lagrange polynomial, Serendipity form and Lagrange and Legendre polynomial based hierarchical forms. Secondly, the performances of “p-method”, “hmethod”, and “hp-method” are discussed on displacement and stress scores in point of degree of freedom when an elastostatic rectangular plane problem with half circle notches is considered. By the way, Blending function method is performed to exactly represent real geometrical curve boundaries. The analyses are performed by a research oriented finite element program developed in MATLAB and the obtained solutions are verified by ANSYS solutions.
 
Keywords: “p-method”, “h-method”, “hp-method”, blending function method, elastostatic plane problem.