TY - GEN
T1 - Simpler formulation and numerical validation for a nonlinear high order finite shell element
AU - Cai, Songbai
AU - Izzuddin, B. A.
AU - Elghazouli, A.
AU - Shen, Pusheng
PY - 2011
Y1 - 2011
N2 - Although various shell elements has been developed by a lot of researchers, so far not many have very successfully achieved in computational efficiency or modeling accuracy yet. This paper presents a simpler formulation and computational validation of a serial of high order, high performance shell elements. And an analysis program has been completed in FORTRAN on the formulation of nonlinear element tangential stiffness matrix presented. Various numerical examples for 2D membrane structures and bending of plate have been carried out by the program and accurate results hvev been obtained for comparison with other research. This indicate that the formulation for the high order, high performance shell elements is correct and furthermore, the program is reliable, and efficient and convenient for application to high accuracy engineering analysis of any membrane structure and bending problems of shells/plates.
AB - Although various shell elements has been developed by a lot of researchers, so far not many have very successfully achieved in computational efficiency or modeling accuracy yet. This paper presents a simpler formulation and computational validation of a serial of high order, high performance shell elements. And an analysis program has been completed in FORTRAN on the formulation of nonlinear element tangential stiffness matrix presented. Various numerical examples for 2D membrane structures and bending of plate have been carried out by the program and accurate results hvev been obtained for comparison with other research. This indicate that the formulation for the high order, high performance shell elements is correct and furthermore, the program is reliable, and efficient and convenient for application to high accuracy engineering analysis of any membrane structure and bending problems of shells/plates.
KW - High order FEM
KW - Newton-Raphson iteration
KW - Nonlinear analysis
KW - Numerical validation
KW - Shell element
KW - Simpler formulation
UR - http://www.scopus.com/inward/record.url?scp=80052932261&partnerID=8YFLogxK
U2 - 10.4028/www.scientific.net/AMM.88-89.110
DO - 10.4028/www.scientific.net/AMM.88-89.110
M3 - Conference article published in proceeding or book
AN - SCOPUS:80052932261
SN - 9783037852361
T3 - Applied Mechanics and Materials
SP - 110
EP - 115
BT - Computer-Aided Design, Manufacturing, Modeling and Simulation, CDMMS 2011
T2 - International Conference on Computer-Aided Design, Manufacturing, Modeling and Simulation, CDMMS 2011
Y2 - 13 September 2011 through 16 September 2011
ER -