STATIC ANALYSIS OF NANOPLATES BASED ON THE NONLOCAL KIRCHHOFF AND MINDLIN PLATE THEORIES USING DQM

Authors

  • HASSAN KANANIPOUR DEPARTMENT OF CIVIL ENGINEERING, UNIVERSITY OF SCIENCE AND CULTURE, TEHRAN, IRAN. P.O. BOX: 13145-871

Keywords:

NANOPLATE, SMALL-SCALE EFFECT, MINDLIN PLATE, KIRCHHOFF PLATE, DIFFERENTIAL QUADRATURE METHOD.

Abstract

IN THIS STUDY, STATIC ANALYSIS OF THE TWO-DIMENSIONAL RECTANGULAR NANOPLATES ARE INVESTIGATED BY THE DIFFERENTIAL QUADRATURE METHOD (DQM). NUMERICAL SOLUTION PROCEDURES ARE PROPOSED FOR DEFLECTION OF AN EMBEDDED NANOPLATE UNDER DISTRIBUTED NANOPARTICLES BASED ON THE DQM WITHIN THE FRAMEWORK OF KIRCHHOFF AND MINDLIN PLATE THEORIES. THE GOVERNING EQUATIONS AND THE RELATED BOUNDARY CONDITIONS ARE DERIVED BY USING NONLOCAL ELASTICITY THEORY. THE DIFFERENCE BETWEEN THE TWO MODELS IS DISCUSSED AND BENDING PROPERTIES OF THE NANOPLATE ARE ILLUSTRATED. CONSEQUENTLY, THE DQM HAS BEEN SUCCESSFULLY APPLIED TO ANALYZE NANOPLATES WITH DISCONTINUOUS LOADING AND VARIOUS BOUNDARY CONDITIONS FOR SOLVING KIRCHHOFF AND MINDLIN PLATES WITH SMALL-SCALE EFFECT, WHICH ARE NOT SOLVABLE DIRECTLY. THE RESULTS SHOW THAT THE ABOVE MENTIONED EFFECTS PLAY AN IMPORTANT ROLE ON THE STATIC BEHAVIOR OF THE NANOPLATES.

Downloads

Published

2014-07-05

Issue

Vol. 11 No. 10 (2014)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

 

  1. 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.
  2. 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.
  3. 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).