Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Variational approach to dynamic analysis of third-order shear deformable plates within gradient elasticity
Aalto University, Finland.ORCID iD: 0000-0001-8515-9907
Aalto University, Finland.
Texas A&M University, USA.
2015 (English)In: Meccanica (Milano. Print), ISSN 0025-6455, E-ISSN 1572-9648, Vol. 50, no 6, 1537-1550 p.Article in journal (Refereed) Published
Abstract [en]

A variational approach based on Hamilton’s principle is used to develop the governing equations for the dynamic analysis of plates using the Reddy third-order shear deformable plate theory with strain gradient and velocity gradient. The plate is made of homogeneous and isotropic elastic material. The stain energy, kinetic energy, and the external work are generalized to capture the gradient elasticity (i.e., size effect) in plates modeled using the third-order shear deformation theory. In this framework, both strain and velocity gradients are included in the strain energy and kinetic energy expressions, respectively. The equations of motion are derived, along with the consistent boundary equations. Finally, the resulting third-order shear deformation (strain and velocity) gradient plate theory is specialized to the first-order and classical strain gradient plate theories.

Place, publisher, year, edition, pages
Springer, 2015. Vol. 50, no 6, 1537-1550 p.
Keyword [en]
Strain gradient elasticity; Velocity gradient; Shear deformation; Equations of motion; Boundary conditions; Third-order theory; Variational approach
National Category
Applied Mechanics
Research subject
Materials Engineering
Identifiers
URN: urn:nbn:se:kau:diva-65041DOI: 10.1007/s11012-015-0105-4ISI: 000352145400010OAI: oai:DiVA.org:kau-65041DiVA: diva2:1154100
Available from: 2017-11-01 Created: 2017-11-01 Last updated: 2017-11-01Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full texthttps://doi.org/10.1007/s11012-015-0105-4

Search in DiVA

By author/editor
Mousavi, S. Mahmoud
In the same journal
Meccanica (Milano. Print)
Applied Mechanics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 5 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf