Nonlocal strain gradient plate model for nonlinear large-amplitude vibrations of functionally graded porous micro/nano-plates reinforced with GPLs

A unified nonlocal strain gradient plate model for nonlinear axial instability of functionally graded porous micro/nano-plates reinforced with graphene platelets

Analytical effective elastic properties of particulate composites with soft interfaces around anisotropic particles

Nonlinear secondary resonance of nanobeams under subharmonic and superharmonic excitations including surface free energy effects

Surface elastic shell model for nonlinear primary resonant dynamics of FG porous nanoshells incorporating modal interactions

Combining Goldenveizer-Novozhilov shell theory, thin plate theory and electro-elastic surface theory, the size-dependent vibration of nano-sized piezoelectric double-shell structures under simply supported boundary condition is presented, and the surface energy effect on the natural frequencies is discussed. The displacement components of the cylindrical nano-shells and annular nano-plates are expanded as the superposition of standard Fourier series based on Hamilton's principle. The total stresses with consideration of surface energy effect are derived, and the total energy function is obtained by using Rayleigh-Ritz energy method. The free vibration equation is solved, and the natural frequency is analyzed. In numerical examples, it is found that the surface elastic constant, piezoelectric constant and surface residual stress show different effects on the natural frequencies. The effect of surface piezoelectric constant is the maximum. The effect of dimensions of the double-shell under different surface material properties is also examined.

Surface energy effect on free vibration of nano-sized piezoelectric double-shell structures

Interface energy effect on the dispersion relation of nano-sized cylindrical piezoelectric/piezomagnetic composites

The propagation behavior of Love wave in 0.67Pb(Mg1/3Nb2/3)O–0.33PbTiO3 (PMN–0.33PT) single crystal layered structure with the inhomogeneous initial stress varying along thickness is studied in this paper. The interface between PMN–PT layer and elastic substrate is perfectly bonded. The surface of the layered system is free of traction and electrically shorted or open. PMN–0.33PT single crystal is considered [011]c polarized, and has macroscopic symmetry of orthogonal mm2. The Frobenius method is employed to solve governing equation with variable coefficient. The analytical dispersion equations are derived for different boundary conditions. The numerical results show that the Frobenius method can provide a good asymptotic approximation when the retained number of items in Frobenius series is sufficient. It is found that the inhomogeneous initial stress has strong effect on the dispersion characteristics comparing with constant initial stress, whereas has less effect on the cut-off frequency for the first two modes of Love wave. The gradient coefficients of inhomogeneous initial stress can obviously affect the phase velocity and corresponding electromechanical coupling factor, and can also change the distributions of mechanical displacement, electrical potential and stress. The obtained results can provide a predictable and theoretical basis for design and manufacture of high performance surface acoustic wave devices.

Effect of an inhomogeneous initial stress on Love wave propagation in 0.67Pb(Mg1/3Nb2/3)O3–0.33PbTiO3 single crystal layered structure poled along [011]c

Dynamic effective shear modulus of nanocomposites containing randomly distributed elliptical nano-fibers with interface effect

Dynamic strength around a coated nanowire with surfaces/interfaces in a half solid.

Xiang-Lin Liu

Papers

Surface energy effect on free vibration of nano-sized piezoelectric double-shell structures

Interface energy effect on the dispersion relation of nano-sized cylindrical piezoelectric/piezomagnetic composites

Effect of an inhomogeneous initial stress on Love wave propagation in 0.67Pb(Mg1/3Nb2/3)O3–0.33PbTiO3 single crystal layered structure poled along [011]c

Dynamic effective shear modulus of nanocomposites containing randomly distributed elliptical nano-fibers with interface effect

Dynamic strength around a coated nanowire with surfaces/interfaces in a half solid.