功能梯度材料板中Lamb波传播特性研究

对材料性能参数沿厚度连续变化的横观各向同性热应力缓和型功能梯度材料板中Lamb波的传播问题,采用幂级数法,求得其相速度方程.借助数值算例,分析了参数梯度变化对Lamb波频散曲线的影响,并与相应陶瓷板和金属板中的频散曲线进行了对比.进一步研究了参数梯度变化对波结构的影响,揭示了Lamb波在这种非均质板中的传播行为,所得结果可以为功能梯度材料及结构的超声表征与检测提供理论依据.

PROPAGATION PROPERTIES OF LAMB WAVES IN A FUNCTIONLLY GRADED MATERIAL PLATE

For propagation of Lamb waves in a transversely isotropic functionally graded material (FGM) plate with material parameters varying continuously along thickness direction,power series technique is adopted for theoretical derivations and the phase velocity equations are obtained.Numerical calculations are performed to study the influence of material parameters graded variation on dispersion relations.These relations are compared with those in corresponding ceramic and metal plates,respectively.Further invest...