SIMPLE FLAT TRIANGULAR SHELL ELEMENT REVISITED

被引:30
作者
OLSON, MD
BEARDEN, TW
机构
[1] Department of Civil Engineering, University of British Columbia, Vancouver, British Columbia
[2] Edmonton, Alberta
关键词
D O I
10.1002/nme.1620140105
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The 18 degree‐of‐freedom flat triangular shell element is reformulated by combining the well‐known bending triangle with a plane stress triangle incorporating in‐plane rotations at each vertex. Both elements are displacement formulated. The plane stress element's displacement interpolation is incomplete and hence convergence to exact solutions is precluded. Comprehensive test results are presented for several types of problem including plane stress, thin shells and folded plates. The results indicate that the element does produce rapidly convergent answers. However these answers are not the correct ones, although they may be acceptable engineering approximations in many applications. Further, the element seems to provide reasonably good results even for relatively coarse element grids. Copyright © 1979 John Wiley & Sons, Ltd
引用
收藏
页码:51 / 68
页数:18
相关论文
共 12 条
[1]  
ARGYRIS JH, 1977, COMPUT METHODS APPL, V10, P339
[2]  
BEARDEN TW, 1976, THESIS UBC VANCOUVER
[3]  
BEAVERS JE, 1974, THESIS VANDERBILT U
[4]  
Cowper G. R., 1973, International Journal for Numerical Methods in Engineering, V7, P405, DOI 10.1002/nme.1620070316
[5]  
DUNGAR R, 1969, J STRAIN ANAL, V0004, P00010
[6]  
GALLAGHER RH, 1975, P WORLD C FIN ELEM M
[7]  
HOLAND I, 1969, FINITE ELEMENT METHO, P43
[8]  
JOHNSON CD, 1968, J STRUCT DIV ASCE, V94, P1441
[9]  
NEILLE D, 1977, THESIS UBC VANCOUVER
[10]  
TIMOSHENKO SP, 1959, THEORY PLATES SHELLS, P558