功能梯度材料板中P-SV波的传播特性

Characteristics of P-SV waves propagation in the functionally graded material plate

了解功能梯度材料板中波的传播特性,对这种材料的无损检测十分重要.研究了非均匀FGM板中面内PSV波的传播规律,采用WKBJ方法推导了FGM板中PSV波的频散关系方程式,得出了FGM板PSV波的近似解析解,同时给出了它们的数值实现算法,以实用的金属(Ni)-陶瓷(TiC)梯度材料板模型为实例,研究了当板中几个材料参数变化时PSV波的频散关系变化规律,并给出了PSV波波面上与各阶频散关系对应的位移分布曲线图,板厚度变化时,波数相应变化,对应于同一导波相速度,随着板的厚度增大,面内耦合波波数相应减小,当板厚度不变,材料组成成分比率发生改变时,波数相应发生变化,当金属含量比率逐渐降低,同样的相速度下,耦合波的波数随之增大,随着波速的增大,频散曲线趋于平缓.

It is very important to comprehend the characteristic of wave propagation in FGM plate for the material detecting without injury.The law of PSV wave propagation in inhomogeneous FGM plate were studied. The dispersion relations of PSV wave propagation in the functionally graded material plate were obtained by using the method of WKBJ.The approximate analytical solution of PSV wave propagation in the FGM plate was derived.The method of numerical calculation was provided.An example of Metal （Ni ）-Ceramic （Tic ） Practical FGM plate model,the dispersion relations of PSV wave propagation in the FGM plate with different material parameters were studied.And the displacement curves along the cross section were plotted,when plate thick changed,the wave number was changing accordingly ,corresponding to the same phase velocity,the coupled wave numble decreased accordingly along with the plate’s thick incresing ,when plate’s thick remian unchanged,the ingredient ratio of material changed,the wave number was changing accordingly,when the metal content ratio decreased gradually,the coupled wave number increased accordingly ,under same phase velocity, dispersion cave slopes gently corresponded to wave velocity increasing.