Surface effect and non-local elasticity in wave propagation of functionally graded piezoelectric nano-rod excited to applied voltage

DOI10.1007/s10483-016-2039-6zbMath1336.74023OpenAlexW2324659530MaRDI QIDQ285783

F. Blanchet-Sadri, M. Dambrine

Publication date: 19 May 2016

Published in: AMM. Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-016-2039-6

zbMATH Keywords

wave propagationlove rod modelnon-homogeneous indexnon-local elasticitysurface effectvoltage

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Composite and mixture properties (74E30) Electromagnetic effects in solid mechanics (74F15)

Related Items (8)

Analytical solution approach for nonlinear buckling and postbuckling analysis of cylindrical nanoshells based on surface elasticity theory ⋮ Propagation of Love-type wave in functionally graded pre-stressed magneto-visco-elastic fiber-reinforced composite structure ⋮ Dynamics of thermoelastic Lamb waves in functionally graded nanoplates based on the modified nonlocal theory ⋮ A consistent variational formulation of Bishop nonlocal rods ⋮ Analysis of a doubly curved piezoelectric nano shell: nonlocal electro-elastic bending solution ⋮ Aifantis versus Lam strain gradient models of Bishop elastic rods ⋮ A nonlocal strain gradient shell model incorporating surface effects for vibration analysis of functionally graded cylindrical nanoshells ⋮ Analysis of Love-type acoustic wave in a functionally graded piezomagnetic plate sandwiched between elastic layers

Cites Work

• Nonlinear thermoelastic analysis of thick-walled functionally graded piezoelectric cylinder
• Application and analysis of functionally graded piezoelectrical rotating cylinder as mechanical sensor subjected to pressure and thermal loads
• Natural frequency analysis of functionally graded rectangular nanoplates with different boundary conditions via an analytical method
• Nonlinear vibration analysis of laminated composite Mindlin micro/nano-plates resting on orthotropic Pasternak medium using DQM
• A continuum theory of elastic material surfaces
• Surface stress in solids
• A generalized nonlocal elasticity solution for the propagation of longitudinal stress waves in bars
• Non-local elastic plate theories
• Vibration and buckling analysis of a piezoelectric nanoplate considering surface effects and in-plane constraints

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