Some ‘special’ interpolation formulae for triangular and quadrilateral elements | Zendy

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Some ‘special’ interpolation formulae for triangular and quadrilateral elements

Author(s) -

Ying LungAn

Publication year - 1982

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.1620180702

Subject(s) - quadrilateral , interpolation (computer graphics) , mathematics , type (biology) , singularity , constant (computer programming) , mathematical analysis , pure mathematics , finite element method , physics , computer science , classical mechanics , structural engineering , motion (physics) , engineering , geology , paleontology , programming language

Presented herein are methods to generate special interpolation formulae of the following type: (i) C 0 continuous interpolation over triangular elements which induces a given type of singularity for the first derivatives at one of the vertices, and yet preserves ‘rigid and constant strain’ motions, (ii) C 1 continuous interpolation over triangular elements which induces a given type of singularity for second derivatives at one of the vertices.

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