The Laguerre polynomial method has been successfully used to investigate the dynamic responses of a half-space.However,it fails to obtain the correct stress at the interfaces in a layered half-space,especially when th...The Laguerre polynomial method has been successfully used to investigate the dynamic responses of a half-space.However,it fails to obtain the correct stress at the interfaces in a layered half-space,especially when there are significant differences in material properties.Therefore,a coupled Legendre-Laguerre polynomial method with analytical integration is proposed.The Rayleigh waves in a one-dimensional(1D)hexagonal quasicrystal(QC)layered half-space with an imperfect interface are investigated.The correctness is validated by comparison with available results.Its computation efficiency is analyzed.The dispersion curves of the phase velocity,displacement distributions,and stress distributions are illustrated.The effects of the phonon-phason coupling and imperfect interface coefficients on the wave characteristics are investigated.Some novel findings reveal that the proposed method is highly efficient for addressing the Rayleigh waves in a QC layered half-space.It can save over 99%of the computation time.This method can be expanded to investigate waves in various layered half-spaces,including earth-layered media and surface acoustic wave(SAW)devices.展开更多
Conventional orthogonal polynomial approach can solve the multilayered plate only when the material properties of two adjacent layers do not change significantly. This paper de- veloped an improved orthogonal polynomi...Conventional orthogonal polynomial approach can solve the multilayered plate only when the material properties of two adjacent layers do not change significantly. This paper de- veloped an improved orthogonal polynomial approach to solve wave propagation in multilayered plates with very dissimilar material properties. Through numerical comparisons among the exact solution, the results from the conventional polynomial approach and from the improved poly- nomial approach, the validity of the improved polynomial approach is illustrated. Finally, it is shown that the conventional polynomial approach can not yield correct continuous normal stress profiles. The improved orthogonul polynomial approach has overcome this drawback.展开更多
In this paper, the propagation of guided thermoelastic waves in laminated orthotropic plates subjected to stress-free, isothermal boundary conditions is investigated in the context of the Green-Naghdi (GN) generaliz...In this paper, the propagation of guided thermoelastic waves in laminated orthotropic plates subjected to stress-free, isothermal boundary conditions is investigated in the context of the Green-Naghdi (GN) generalized thermoelastic theory (without energy dissipation). The coupled wave equations and heat conduction equation are solved by the Legendre orthogonal polynomial series expansion approach. The validity of the method is confirmed through a comparison. The dispersion curves of thermal modes and elastic modes are illustrated simultaneously. Dispersion curves of the corresponding pure elastic plate are also shown to analyze the influence of the thermoelasticity on elastic modes. The displacement and temperature distributions are shown to discuss the differences between the elastic modes and thermal modes.展开更多
As one of the popular non-classical continuum theories in functionally graded material(FGM)nanostructures,the modified nonlocal theory(MNT)has been applied in various mechanical problems.However,due to the difficult s...As one of the popular non-classical continuum theories in functionally graded material(FGM)nanostructures,the modified nonlocal theory(MNT)has been applied in various mechanical problems.However,due to the difficult solution process,the original integral formulation of MNT(IMNT)is transformed into a differential formulation of MNT(DMNT),which results in an inevitable approximation error.To clarify the consistency and difference between two formulations,the Lamb wave characteristics in viscoelastic FGM nanoplates are investigated.Two mathematical models are established based on the IMNT and DMNT,and solved by the proposed displacement-based and strain-based Legendre polynomial series approaches(LPSAs),respectively.Comparisons with the available data verify the validates of the presented LPSAs.Numerical examples indicate that the results from the DMNT and IMNT are significantly different at high frequencies.Several important differences are discovered.For example,the escape frequency only appears in the results from DMNT,but not in IMNT.In addition to comparing with classical structures,more attention should be paid to the attenuation characteristics of nonlocal nanostructures.展开更多
基金Project supported by the National Natural Science Foundation of China(No.12102131)the Natural Science Foundation of Henan Province of China(No.242300420248)the International Science and Technology Cooperation Project of Henan Province of China(No.242102521010)。
文摘The Laguerre polynomial method has been successfully used to investigate the dynamic responses of a half-space.However,it fails to obtain the correct stress at the interfaces in a layered half-space,especially when there are significant differences in material properties.Therefore,a coupled Legendre-Laguerre polynomial method with analytical integration is proposed.The Rayleigh waves in a one-dimensional(1D)hexagonal quasicrystal(QC)layered half-space with an imperfect interface are investigated.The correctness is validated by comparison with available results.Its computation efficiency is analyzed.The dispersion curves of the phase velocity,displacement distributions,and stress distributions are illustrated.The effects of the phonon-phason coupling and imperfect interface coefficients on the wave characteristics are investigated.Some novel findings reveal that the proposed method is highly efficient for addressing the Rayleigh waves in a QC layered half-space.It can save over 99%of the computation time.This method can be expanded to investigate waves in various layered half-spaces,including earth-layered media and surface acoustic wave(SAW)devices.
基金supported by the National Natural Science Foundation of China(No.11272115)
文摘Conventional orthogonal polynomial approach can solve the multilayered plate only when the material properties of two adjacent layers do not change significantly. This paper de- veloped an improved orthogonal polynomial approach to solve wave propagation in multilayered plates with very dissimilar material properties. Through numerical comparisons among the exact solution, the results from the conventional polynomial approach and from the improved poly- nomial approach, the validity of the improved polynomial approach is illustrated. Finally, it is shown that the conventional polynomial approach can not yield correct continuous normal stress profiles. The improved orthogonul polynomial approach has overcome this drawback.
基金supported by the National Natural Science Foundation of China (No. 10802027)
文摘In this paper, the propagation of guided thermoelastic waves in laminated orthotropic plates subjected to stress-free, isothermal boundary conditions is investigated in the context of the Green-Naghdi (GN) generalized thermoelastic theory (without energy dissipation). The coupled wave equations and heat conduction equation are solved by the Legendre orthogonal polynomial series expansion approach. The validity of the method is confirmed through a comparison. The dispersion curves of thermal modes and elastic modes are illustrated simultaneously. Dispersion curves of the corresponding pure elastic plate are also shown to analyze the influence of the thermoelasticity on elastic modes. The displacement and temperature distributions are shown to discuss the differences between the elastic modes and thermal modes.
基金Project funded by China Postdoctoral Science Foundation,2021M701102Xianhui Wang,Henan University Science and Technology Innovation Team Support Plan,23IRTSTHN016,Jiangong Yu.
文摘As one of the popular non-classical continuum theories in functionally graded material(FGM)nanostructures,the modified nonlocal theory(MNT)has been applied in various mechanical problems.However,due to the difficult solution process,the original integral formulation of MNT(IMNT)is transformed into a differential formulation of MNT(DMNT),which results in an inevitable approximation error.To clarify the consistency and difference between two formulations,the Lamb wave characteristics in viscoelastic FGM nanoplates are investigated.Two mathematical models are established based on the IMNT and DMNT,and solved by the proposed displacement-based and strain-based Legendre polynomial series approaches(LPSAs),respectively.Comparisons with the available data verify the validates of the presented LPSAs.Numerical examples indicate that the results from the DMNT and IMNT are significantly different at high frequencies.Several important differences are discovered.For example,the escape frequency only appears in the results from DMNT,but not in IMNT.In addition to comparing with classical structures,more attention should be paid to the attenuation characteristics of nonlocal nanostructures.