Quadratic and cubic transition elements | Zendy

Hussain M. A. | Zendy; Vasilakis J. D. | Zendy; Pu S. L. | Zendy

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Quadratic and cubic transition elements

Author(s) -

Hussain M. A.,

Vasilakis J. D.,

Pu S. L.

Publication year - 1981

Publication title -

international journal for numerical methods in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.421

H-Index - 168

eISSN - 1097-0207

pISSN - 0029-5981

DOI - 10.1002/nme.1620170908

Subject(s) - quadrilateral , quadratic equation , singularity , computation , mathematics , square root , square (algebra) , gravitational singularity , enhanced data rates for gsm evolution , cubic function , cubic form , element (criminal law) , geometry , mathematical analysis , finite element method , structural engineering , engineering , algorithm , law , telecommunications , political science

Quadratic and cubic quadrilateral isoparametric elements are investigated for use as transition elements for use a crack tip elements. Computations for a single element are explicitly carried out using a symbolic algebraic manipulation program and in addition to the desired square root singularity, additional singularities are revealed. Cubic transitional elements were used for a double‐edge crack problem and only marginal improvement is found for a well‐laid out grid.

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