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Equivalent homogeneous finite element for composite materials via reissner principle. Part II: Finite element for shells
Author(s) -
Peseux B.,
Dubigeon S.
Publication year - 1991
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620310805
Subject(s) - finite element method , hull , shell (structure) , homogeneous , structural engineering , composite number , engineering , element (criminal law) , naval architecture , mechanical engineering , mathematics , materials science , composite material , marine engineering , combinatorics , political science , law
The lateral hulls of multi‐shelled ships such as Catamarans or Trimarans can be considered as rigid solids, or compared to thin walled beams in multi‐layered materials for the global statical or dynamical behaviour of the ship. Unfortunately this approximation no longer hold after a detailed study of the hulls. Working in these problems we proceed to a fine analysis of the stress field at the neighbourhood of the linkage shell‐arm or of the holes for access input to the hull itself. Analysis with a beam model is inadequate and the shell theory must be more appropriate. Numerous papers have been devoted to shell elements, see References 1 to 8 to mention just a few. Some of them require a reduced or selective integration scheme. 9‐12 We choose to start from the Ahmad element, 13, 14 which is suitable for moderate thick shells. 15.16 The final aim of this paper is to explain how to build up a multi‐layered equivalent homogeneous shell element which is both economical and accurate. Some examples will be given and compared with those obtained with the Ahmad finite element.