组分连续变化梯度材料中应力波的传播特性

Wave Propagation in FGM with Constituents Varied Continuously and Smoothly

建立了线弹性组分连续变化梯度材料的波动方程、特征方程及特征线上应力、应变与材料质点速度的相容关系。讨论了特征线的可能形态。研究了应力波在这类材料中传播时的传播特性。研究发现:应力波在这类材料中传播时,波速仅是波所经过位置的函数;波速在大多数情况下是变化的;但波速的变化不会产生新的冲击波。

The wave differential equation and its characteristic equation for linear-elastic functionally gradient material （FGM） with constituents varied continuously and smoothly were established. The compatible relations between stress, strain and velocity along characteristic lines were obtained. The possible forms of characteristic lines were described. It is found that the wave speed was the function of the coordinate when a wave propagates in such kind materials. The wave speed changes in most cases, but this change will not cause a new impact effect in the material,