Electro-mechanical responses of transversely isotropic piezoelectric nano-plate based on the nonlocal strain gradient theory with flexoelectric effect

DOI10.1007/s00707-023-03690-4zbMath1529.74047OpenAlexW4386033532MaRDI QIDQ6058578

Shasha Zhou, Rongmin Zhang, Anqing Li, Shen-Jie Zhou, Jinwei Qiao, Lu Qi

Publication date: 1 November 2023

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-023-03690-4

zbMATH Keywords

rectangular plateHamilton principledistributed loadcentral deflectionclamped boundary conditioncentral electric potential

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Plates (74K20) Micromechanics of solids (74M25) Electromagnetic effects in solid mechanics (74F15)

Cites Work

• A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
• Microstructure-dependent couple stress theories of functionally graded beams
• A size-dependent Kirchhoff micro-plate model based on strain gradient elasticity theory
• A theory of flexoelectricity with surface effect for elastic dielectrics
• Electromechanical responses of piezoelectric nanoplates with flexoelectricity
• Nonlocal theories for bending, buckling and vibration of beams
• Static and dynamic analysis of micro beams based on strain gradient elasticity theory
• Flexoelectric effect on vibration responses of piezoelectric nanobeams embedded in viscoelastic medium based on nonlocal elasticity theory
• Nonlinear axisymmetric bending analysis of strain gradient thin circular plate
• Experiments and theory in strain gradient elasticity.
• Free vibration analysis of nonlocal strain gradient beams made of functionally graded material
• A micro scale Timoshenko beam model based on strain gradient elasticity theory
• Analysis of elastic bulk waves in functionally graded triclinic nanoplates using a quasi-3D bi-Helmholtz nonlocal strain gradient model
• Size-dependent pull-in instability of torsional nano-actuator