By using Morse potential model,we calculate the temperature dependence of critical resolved shear stress (CRSS) of some single crystals. Dislocation-phonon interaction is considered in this paper. Theoretical calculat...By using Morse potential model,we calculate the temperature dependence of critical resolved shear stress (CRSS) of some single crystals. Dislocation-phonon interaction is considered in this paper. Theoretical calculations fit experimental law well. Investigations show: interatomic force is the physical intrinsic that controls the plastic deformation processing of materials, and thetemperature dependence of CRSS mainly comes from the temperature dependence of dislocationvibration.展开更多
In this paper,we study the existence and local uniqueness of multi-peak solutions to the Kirchhoff type equations-(ε^(2)a+εb∫_(R^(3))|■u|^(2))△u+V(x)u=u^(p),u>0 in R^(3),which concentrate at non-degenerate cri...In this paper,we study the existence and local uniqueness of multi-peak solutions to the Kirchhoff type equations-(ε^(2)a+εb∫_(R^(3))|■u|^(2))△u+V(x)u=u^(p),u>0 in R^(3),which concentrate at non-degenerate critical points of the potential function V(x),where a,b>0,1<p<5 are constants,andε>0 is a parameter.Applying the Lyapunov-Schmidt reduction method and a local Pohozaev type identity,we establish the existence and local uniqueness results of multi-peak solutions,which concentrate at{a_(i)}1≤i≤k,where{a_(i)}1≤i≤k are non-degenerate critical points of V(x)asε→0.展开更多
In this paper,the influences of surface effects on free transverse vibration and buckling of piezoelectric nanowires are investigated by surface energy density elasticity theory.Analytical relations are given for the ...In this paper,the influences of surface effects on free transverse vibration and buckling of piezoelectric nanowires are investigated by surface energy density elasticity theory.Analytical relations are given for the natural frequencies of nanowires by taking into account the effects of surface energy density and surface relaxation parameter.By implementing this theory with consideration of surface effects under clamped-clamped boundary conditions,the natural frequencies of nanowires are calculated.It is shown that the natural frequency depends on both the surface effects and piezoelectricity.A closed-form solution is also obtained to calculate the critical buckling voltage.This study is expected to provide useful insights for the design of piezoelectric nanowire-based nanodevices.展开更多
文摘By using Morse potential model,we calculate the temperature dependence of critical resolved shear stress (CRSS) of some single crystals. Dislocation-phonon interaction is considered in this paper. Theoretical calculations fit experimental law well. Investigations show: interatomic force is the physical intrinsic that controls the plastic deformation processing of materials, and thetemperature dependence of CRSS mainly comes from the temperature dependence of dislocationvibration.
基金supported by the Natural Science Foundation of China(11771166,12071169)the Hubei Key Laboratory of Mathematical Sciences and Program for Changjiang Scholars and Innovative Research Team in University#IRT17R46。
文摘In this paper,we study the existence and local uniqueness of multi-peak solutions to the Kirchhoff type equations-(ε^(2)a+εb∫_(R^(3))|■u|^(2))△u+V(x)u=u^(p),u>0 in R^(3),which concentrate at non-degenerate critical points of the potential function V(x),where a,b>0,1<p<5 are constants,andε>0 is a parameter.Applying the Lyapunov-Schmidt reduction method and a local Pohozaev type identity,we establish the existence and local uniqueness results of multi-peak solutions,which concentrate at{a_(i)}1≤i≤k,where{a_(i)}1≤i≤k are non-degenerate critical points of V(x)asε→0.
基金This work was supported by the Higher Education Innovation Capacity Enhancement Project of Gansu Province(Grant No.2020A-176).
文摘In this paper,the influences of surface effects on free transverse vibration and buckling of piezoelectric nanowires are investigated by surface energy density elasticity theory.Analytical relations are given for the natural frequencies of nanowires by taking into account the effects of surface energy density and surface relaxation parameter.By implementing this theory with consideration of surface effects under clamped-clamped boundary conditions,the natural frequencies of nanowires are calculated.It is shown that the natural frequency depends on both the surface effects and piezoelectricity.A closed-form solution is also obtained to calculate the critical buckling voltage.This study is expected to provide useful insights for the design of piezoelectric nanowire-based nanodevices.
