Theoretical Formulation of Finite-Element Methods in Linear-Elastic Analysis of General Shells

Satyanadham Atluri, H. H. Theodore Pian

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1-41
Number of pages41
JournalJournal of Structural Mechanics
Volume1
Issue number1
DOIs
StatePublished - Jan 1972

Fingerprint Dive into the research topics of 'Theoretical Formulation of Finite-Element Methods in Linear-Elastic Analysis of General Shells'. Together they form a unique fingerprint.

Cite this