中文摘要：

建立了线弹性组分连续变化梯度材料的位移波动方程和速度波动方程，这2个方程的特征方程及特征线上质点应力、质点应变与质点速度在位移波阵面上的相容关系和质点应变变化率、质点应力变化率与质点加速度在速度波阵面上的相容关系。

英文摘要：

The wave differential equations of displacement and velosity propagating in linear-elastic functionally gradient material （FGM） with constituents varied continuously and smoothly have been established. Their characteristic equations have been found. The compatible relations between stress and velocity; stain and velocity; varying ratio of stain and acceleration; varying ratio of stress and acceleration along characteristic lines have been obtained.