TY - JOUR
T1 - Theoretical Formulation of Finite-Element Methods in Linear-Elastic Analysis of General Shells
AU - Atluri, Satyanadham
AU - Theodore Pian, H. H.
PY - 1972/1
Y1 - 1972/1
N2 - A systematic classification of the variational functionals whose stationarity conditions (Euler equations) can be used alternately to solve for the various unknowns in a boundary-value problem in linear-shell theory is made. The application of these alternate variational principles to a finite-element assembly of a shell and thus, the development of the properties of an individual discrete element are studied in detail. A classification of the finite-element methods, formulated from the variational principles by systematically relaxing the continuity requirements at the interelement boundaries of adjoining discrete elements is made.
AB - A systematic classification of the variational functionals whose stationarity conditions (Euler equations) can be used alternately to solve for the various unknowns in a boundary-value problem in linear-shell theory is made. The application of these alternate variational principles to a finite-element assembly of a shell and thus, the development of the properties of an individual discrete element are studied in detail. A classification of the finite-element methods, formulated from the variational principles by systematically relaxing the continuity requirements at the interelement boundaries of adjoining discrete elements is made.
UR - http://www.scopus.com/inward/record.url?scp=84963450599&partnerID=8YFLogxK
U2 - 10.1080/03601217208905331
DO - 10.1080/03601217208905331
M3 - Article
AN - SCOPUS:84963450599
SN - 0360-1218
VL - 1
SP - 1
EP - 41
JO - Journal of Structural Mechanics
JF - Journal of Structural Mechanics
IS - 1
ER -