Premium
ON THE SELECTION OF A LOCKING‐FREE hp ELEMENT FOR ELASTICITY PROBLEMS
Author(s) -
CHILTON LAWRENCE,
SURI MANIL
Publication year - 1997
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/(sici)1097-0207(19970615)40:11<2045::aid-nme158>3.0.co;2-z
Subject(s) - elasticity (physics) , finite element method , compressibility , mathematics , element (criminal law) , linear elasticity , mathematical optimization , structural engineering , engineering , materials science , physics , mechanics , composite material , political science , law
We consider the design of robust elements that can be used in hp codes for elasticity problems. Our goal is to identify an element that is free of locking for the case of a nearly incompressible material, both in terms of the h version and the p version. By this we mean that the displacements as well as the stresses should converge optimally. For the standard finite element method, locking is observed in the stresses for the p version and in both the stresses and displacements for the h version. Hence, we recommend a mixed formulation. Several mixed methods are tested, and a method that is optimal both in terms of h and p is identified. © 1997 by John Wiley & Sons, Ltd.