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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 (Engelska)Ingår i: Meccanica (Milano. Print), ISSN 0025-6455, E-ISSN 1572-9648, Vol. 50, nr 6, s. 1537-1550Artikel i tidskrift (Refereegranskat) 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.

Ort, förlag, år, upplaga, sidor
Springer, 2015. Vol. 50, nr 6, s. 1537-1550
Nyckelord [en]
Strain gradient elasticity; Velocity gradient; Shear deformation; Equations of motion; Boundary conditions; Third-order theory; Variational approach
Nationell ämneskategori
Teknisk mekanik
Forskningsämne
Materialteknik
Identifikatorer
URN: urn:nbn:se:kau:diva-65041DOI: 10.1007/s11012-015-0105-4ISI: 000352145400010OAI: oai:DiVA.org:kau-65041DiVA, id: diva2:1154100
Tillgänglig från: 2017-11-01 Skapad: 2017-11-01 Senast uppdaterad: 2017-11-01Bibliografiskt granskad

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Förlagets fulltexthttps://doi.org/10.1007/s11012-015-0105-4

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Mousavi, S. Mahmoud
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