TY - JOUR
T1 - A smoothed finite element method for shell analysis
AU - Nguyen-Thanh, Nhon
AU - Rabczuk, Timon
AU - Nguyen-Xuan, H.
AU - Bordas, Stéphane P A
PY - 2008/12/1
Y1 - 2008/12/1
N2 - A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples.
AB - A four-node quadrilateral shell element with smoothed membrane-bending based on Mindlin-Reissner theory is proposed. The element is a combination of a plate bending and membrane element. It is based on mixed interpolation where the bending and membrane stiffness matrices are calculated on the boundaries of the smoothing cells while the shear terms are approximated by independent interpolation functions in natural coordinates. The proposed element is robust, computationally inexpensive and free of locking. Since the integration is done on the element boundaries for the bending and membrane terms, the element is more accurate than the MITC4 element for distorted meshes. This will be demonstrated for several numerical examples.
KW - MITC4 elements
KW - Shell elements
KW - Smoothed finite elements (SFEM)
UR - http://www.scopus.com/inward/record.url?scp=55049125442&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2008.05.029
DO - 10.1016/j.cma.2008.05.029
M3 - Article
AN - SCOPUS:55049125442
SN - 0045-7825
VL - 198
SP - 165
EP - 177
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 2
ER -