HYBRID STRESS AND ANALYTICAL FUNCTIONS FOR ANALYSIS OF THIN PLATES BENDING
Keywords:
FINITE ELEMENT, HYBRID STRESS FUNCTIONAL, THIN PLATE, TRIANGULAR ELEMENT, QUADRILATERAL ELEMENT.Abstract
IN THIS PAPER, TWO EFFICIENT ELEMENTS FOR ANALYZING THIN PLATE BENDING ARE PROPOSED. THEY ARE A TRIANGULAR ELEMENT (
THS) AND A QUADRILATERAL ELEMENT (QHS), WHICH HAVE 9 AND 12 DEGREES OF FREEDOM, RESPECTIVELY. FORMULATIONS OF THESE ELEMENTS ARE BASED ON HYBRID VARIATIONAL PRINCIPLE AND ANALYTICAL HOMOGENEOUS SOLUTION OF THIN PLATE EQUATION. INDEPENDENT FIELDS IN HYBRID FUNCTIONAL ARE INTERNAL STRESS AND BOUNDARY DISPLACEMENT FIELD. THE INTERNAL STRESS FIELD HAS BEEN CALCULATED USING ANALYTICAL HOMOGENEOUS SOLUTION AND BOUNDARY FIELD IS RELATED TO THE NODAL DEGREE OF FREEDOMS BY THE BOUNDARY INTERPOLATION FUNCTIONS. TO CALCULATE THESE FUNCTIONS, THE EDGES OF ELEMENT ARE ASSUMED TO BEHAVE LIKE AN EULER–BERNOULLI BEAM. THE HIGH ACCURACY AND EFFICIENCY OF THE PROPOSED ELEMENTS ARE DEMONSTRATED IN THE SEVERE TESTS.Downloads
Published
2013-10-22
Issue
Section
Articles
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).