Premium
Equivalent homogeneous finite element for composite materials via reissner principle. Part I: Finite element for plates
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.1620310804
Subject(s) - finite element method , mixed finite element method , strain energy , shell (structure) , stiffness matrix , finite element limit analysis , homogeneous , extended finite element method , mathematical analysis , element (criminal law) , composite number , stiffness , transverse plane , matrix (chemical analysis) , mathematics , structural engineering , materials science , engineering , composite material , algorithm , combinatorics , political science , law
Abstract The stiffness matrix in the finite element method for multi‐layered materials is generally computed by expressing the strain energy in each layer and adding them together. In order to lower the computing time, which may be prohibitive if the number of layers is high, and to get accurate information on the stresses, especially on transverse shear stresses, we present a new finite element using the Reissner principle. In the first part the case of plates will be detailed: extensions to shell problems will be presented in the second part. The efficiency of the method is tested on a special analytic solution, and some examples are given.