ISSN:
0029-5981
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
By using the theory of geodesics in differential geometry, inverse relations of the mapping for 8-node quadrilaterals with curved boundaries are derived and expressed in terms of the element geodesic co-ordinates defined at the local origin. The parameters in the expressions of the geodesic co-ordinates in terms of the isoparametric co-ordinates are suggested to be the distortion measures of the element. The mathematical meanings of these parameters can be discussed and explained by using the coefficient vectors in the equations defining the isoparametric co-ordinate transformation. This method of defining the element distortion measures is consistent and general, and can be applied to any other two- or three-dimensional isoparametric finite elements.
Additional Material:
10 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620370510
