Article (Scientific journals)
A new variational principle for finite elastic displacements
Fraeijs de Veubeke, Baudouin
1972In International Journal of Engineering Science, 10 (9), p. 745-763
Peer Reviewed verified by ORBi
 

Files


Full Text
VarPrinFiniteDispl.pdf
Publisher postprint (989.28 kB)
Request a copy

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
Elasticity; Large displacements; Variational principles; Use of rotational degrees of freedom
Abstract :
[en] After a discussion of existing variational principles, a new set of variational principles, of displacement, canonical or complementary energy types, is found to derive from the polar decomposition of the jacobian. It involves the engineering strain tensor and its conjugate stress tensor is to be regarded as a function of the Piola tensor and the material rotaion. The complementary energy formulation is discussed in terms of firs order stress functions. The presence of the rotational degrees of freedom opens the possibility of discretizing the rotational equilibrium equaions in approximate solutions.
Research center :
U.Lg - L.T.A.S.
Disciplines :
Aerospace & aeronautics engineering
Author, co-author :
Fraeijs de Veubeke, Baudouin ;  Université de Liège - ULiège
Language :
English
Title :
A new variational principle for finite elastic displacements
Alternative titles :
[fr] Un nouveau principe variationnel pour les déplacements élastiques finis
Publication date :
1972
Journal title :
International Journal of Engineering Science
ISSN :
0020-7225
Publisher :
Elsevier, Netherlands
Volume :
10
Issue :
9
Pages :
745-763
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 14 December 2010

Statistics


Number of views
179 (14 by ULiège)
Number of downloads
7 (5 by ULiège)

Scopus citations®
 
128
Scopus citations®
without self-citations
126
OpenCitations
 
141

Bibliography


Similar publications



Contact ORBi