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- Title
考虑挠曲电与温度效应的 Mindlin-Medick 板 理论及其应用.
- Authors
鲁 双; 李东波; 陈晶博; 席 勃
- Abstract
Based on the Hamiltonian variational principle, the 2D field equations and boundary conditions for flexoelectricity were derived, and the corresponding governing equations were obtained through substitution of the constitutive relation and geometric equations into the field equation. The in-plane tensile deformation, thickness-stretch deformation, symmetric thickness-shear deformation, and their coupled flexoelectric polarization of flexoelectric nanoplates caused by inhomogeneous temperature changes, were studied. The displacement fields and electric potential fields were solved with the double Fourier series method. The results demonstrate that, all fields are sensitive to the temperature load, which raises the prospect of controlling the mechanical and electrical behaviors of flexoelectric nanoplates by means of the temperature field. The effects of the thermal field and mechanical field on the displacement field were compared and examined. The work extends the Mindlin-Medick plate structure analysis theory in view of the flexoelectric and temperature effects, and provides a reference for the structural design of micro- and nano-scale devices.
- Subjects
ELECTRIC displacement; TEMPERATURE effect; VARIATIONAL principles; SEPARATION of variables; FOURIER series
- Publication
Applied Mathematics & Mechanics (1000-0887), 2023, Vol 44, Issue 9, p1122
- ISSN
1000-0887
- Publication type
Article
- DOI
10.21656/1000-0887.440017