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On artificial strain of thin curved elements
Author(s) -
Gattass Marcelo,
Abel John F.
Publication year - 1987
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.1620241110
Subject(s) - arch , stiffness , shell (structure) , finite element method , element (criminal law) , interpretation (philosophy) , structural engineering , geometry , mathematics , mathematical analysis , computer science , engineering , mechanical engineering , political science , law , programming language
This paper presents an attempt to clarify further the nature of the overstiffness of thin curved structural elements. It follows the approach presented by Ashwell and co‐workers 1,2 who based their study on shape functions of arch elements. Such elements display the same stiff behaviour as complex shell elements but are simpler to study and understand. An examination of several discretizations for a two‐dimensional curved beam‐column element for linear elastic analysis of arches is performed. This examination and the numerical results obtained from these approximations provide a new interpretation of the artificial strains based on the mapping variables of shape functions. Two new methods to reduce the artificial stiffness of the element are proposed.