A theoretically improved and easily implemented version of the Ahmad Thick Shell element
作者:
M. A. Talha,
期刊:
International Journal for Numerical Methods in Engineering
(WILEY Available online 1979)
卷期:
Volume 14,
issue 1
页码: 125-142
ISSN:0029-5981
年代: 1979
DOI:10.1002/nme.1620140110
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractAn implementation of the Ahmad Thick Shell element using vector manipulation, reduced integration and the incorporation of the missing term in the approximating polynomial is presented. The first two aspects are merely applications. The theory is presented elsewhere6,7,11,18and will not be repeated for the sake of conciseness. The third aspect was achieved by adding to the original nodal configuration a central node having only one degree‐of‐freedom. That node is then eliminated to preserve the original number of degrees‐of‐freedom.The Ahmad thick shell element is adequately presented in finite element literature.1‐3The co‐ordinate definition and the displacement field are retained and will not be dealt with henceforth. However, a different concept of the strain definition due to Irons is used and the bending terms are included in the modulus matrix.The element like all second generation isoparametric elements is easily implemented through a shape function subroutine suitable for quadrilaterals. It reproduces exactly rigid body motion for any combination of elements of any geometry even for elements withcurved sides and variable thickness. Although Ahmad's thick shell element passed the patch test for unequal parallelograms but not for quadrilaterals the version presented passes that test for quadrilaterals.In spite of its credentials, the new version denoted by A has a major setback. the presence of one too many spurious mechanism
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