A cubic quadrilateral spline element with concave shapes

(整期优先)网络出版时间:2013-03-13
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Basicrequirementforapplyingisoparametricelementisthattheelementhastobeconvexandnoviolentdistortionisallowed.Inthispaper,acubicquadrilateralsplineelementwith12nodeshasbeendevelopedusingthetriangularareacoordinatesandtheB-netmethod,whichcanexactlymodelthecubicfieldforquadrilateralelementwithbothconvexandconcaveshapes.Neithermappingnorcoordinatetransformationisrequiredandthesplineelementcanobtainhighaccuracysolutionsandinsensitivetomeshdistortions.