THE GENERAL PROBLEM OF ELASTIC WAVE-PROPAGATION IN MULTILAYERED ANISOTROPIC MEDIA
THE GENERAL PROBLEM OF ELASTIC WAVE-PROPAGATION IN MULTILAYERED ANISOTROPIC MEDIA
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DOI：
10.1121/1.400988
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发表时间：
1991-04-01
影响因子：
2.4
通讯作者：
NAYFEH, AH
中科院分区：
文献类型：
--
作者：
NAYFEH, AH
本文给出了简谐弹性波与n层各向异性板相互作用的精确解析处理。 板的每一层都可以具有低至单斜对称性，从而允许作为特殊情况获得更高对称性材料的结果，例如正交各向异性、横向各向同性、立方和各向同性。 允许波沿着与板的法线的任意角度以及沿着任何方位角传播。 用传递矩阵法求解。 根据这种方法，每一层的正式解决方案推导和表示的波振幅。 通过消除这些振幅，层的一侧上的应力和位移与另一侧上的应力和位移相关。 通过满足适当的连续性条件，在层间界面的整体传递矩阵可以构造的位移和应力的板的一侧上的那些在另一侧。 在板的外边界上设置适当的边界条件，可以解决许多重要问题。 其中提到的是自由波在板上的传播和波在由板的周期性重复组成的周期性介质中的传播。 信心是方法，通过与专业解决方案的任何可用内容进行比较来确认结果。 包括各种数值说明。
Exact analytical treatment of the interaction of harmonic elastic waves with n-layered anisotropic plates is presented. Each layer of the plate can possess up to as low as monoclinic symmetry and thus allowing results for higher symmetry materials such as orthotropic, transversely isotropic, cubic, and isotropic to be obtained as special cases. The wave is allowed to propagate along an arbitrary angle from the normal to the plate as well as along any azimuthal angle. Solutions are obtained by using the transfer matrix method. According to this method formal solutions for each layer are derived and expressed in terms of wave amplitudes. By eliminating these amplitudes the stresses and displacements on one side of the layer are related to those of the other side. By satisfying appropriate continuity conditions at interlayer interfaces a global transfer matrix can be constructed which relates the displacements and stresses on one side of the plate to those on the other. Invoking appropriate boundary conditions on the plates outer boundaries a large variety of important problems can be solved. Of these mention is made of the propagation of free waves on the plate and the propagation of waves in a periodic media consisting of a periodic repetition of the plate. Confidence is the approach and results are confirmed by comparisons with whatever is available from specialized solutions. A variety of numerical illustrations are included.