Journal
COMPUTERS & STRUCTURES
Volume 118, Issue -, Pages 53-58Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compstruc.2012.07.003
Keywords
Finite elements; C-1 continuity; Shape functions; Triangular element; Gradient elasticity
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We derive generic formulae for all possible C-1 continuous polynomial interpolations for triangular elements, by considering individual shape functions, without the need to prescribe the type of the degrees of freedom in advance. We then consider the possible ways in which these shape functions can be combined to form finite elements with given properties. The simplest case of fifth-order polynomial functions is presented in detail, showing how two existing elements can be obtained, as well as two new elements, one of which shows good numerical behaviour in numerical tests. (C) 2012 Elsevier Ltd. All rights reserved.
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