应变梯度弹性固体表面效应对弹性波传播的影响

Influences of surface effects on the wave propagation in the gradient elastic solid

研究应变梯度固体表面效应对弹性波传播的影响,通过应变能密度推导出应变梯度固体中的平衡方程和界面条件,根据非传统界面条件推得弹性波反射和透射的振幅比,推导以能流密度表示的振幅比.用法向能量守恒验证了数值计算结果,根据数值计算结果,讨论了表面参数对弹性波反射和透射的影响.

Influences of surface effects on the wave propagation in the gradient elastic solid are studied.The equilibrium equation and interface conditions in strain gradient solids are deduced by strain energy density,the amplitude ratio of reflection and transmission of elastic waves is deduced by non-traditional interface conditions, and the amplitude ratio expressed by energy flux density is deduced.The numerical results are verified by the conservation of normal energy.Based on the numerical results,the effects of surface parameters on the reflection and transmission of elastic waves are discussed.