TY - JOUR
T1 - Stability analysis of structures via a new complementary energy method
AU - Murakawa, H.
AU - Reed, K. W.
AU - Atluri, S. N.
AU - Rubenstein, R.
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1981/6
Y1 - 1981/6
N2 - A new procedure for the analyses of finite deformations and stability of structures, based on a complementary energy principle and an associated hybrid-mixed finite element method, is presented. In this procedure, the description of kinematics is based on the polar-decomposition of the displacement gradient into pure stretch and rigid rotation. The details of the procedure are illustrated through the problems of (i) post-buckling of a column, (ii) the elastica, and (iii) finite-displacements of a transversely loaded beam.
AB - A new procedure for the analyses of finite deformations and stability of structures, based on a complementary energy principle and an associated hybrid-mixed finite element method, is presented. In this procedure, the description of kinematics is based on the polar-decomposition of the displacement gradient into pure stretch and rigid rotation. The details of the procedure are illustrated through the problems of (i) post-buckling of a column, (ii) the elastica, and (iii) finite-displacements of a transversely loaded beam.
UR - http://www.scopus.com/inward/record.url?scp=0019267892&partnerID=8YFLogxK
U2 - 10.1016/0045-7949(81)90104-8
DO - 10.1016/0045-7949(81)90104-8
M3 - Article
AN - SCOPUS:0019267892
VL - 13
SP - 11
EP - 18
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
IS - 1-3
ER -