ISSN:
0029-5981
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
A new family of conforming triangular plate bending elements, based on the Displacement Method of formulation, is developed in detail in Reference 9. The elements can be of any order n-4, and do not present excess nodal continuties at the corner nodes. For a given element, the assumed vertical displacement w consists of a polynomial expansion supplemented by three rational function. Polynomial completeness is of order n for even n, and of order n-1 for odd values of n. This family is proposed as a desirable alternative to refined triangular elements which incorporate all three curvatures as corner node variables,8 or require constraint equations to enforce inter-element compatibility,10 The purpose of this paper is to describe the quintic member of the family. The traditional difficulties associated with the discontinuous curvatures of the rational functions are solved in a straightforward fashion. The element has the same good accuracy as the other, well-known, quintic triangle, 3,4,8 and some additional advantages accruning from the simplicity of its nodal variables. A similar performance can be anticipated with the other members of the family.
Additional Material:
9 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620120704
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