Steady Waves in an Anisotropic Elastic Layer Attached to a Half-Space or Between Two Half-Spaces—A Generalization of Love Waves and Stoneley Waves

Steady Waves in an Anisotropic Elastic Layer Attached to a Half-Space or Between Two Half-Spaces—A Generalization of Love Waves and Stoneley Waves
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DOI:
10.1177/1081286508092602
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发表时间:
2009-01
影响因子:
2.6
通讯作者:
T. Ting
T. Ting
中科院分区:
工程技术3区
文献类型:
--
作者:
T. Ting

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研究了各向异性弹性层中定常波在各向异性弹性半空间中的传播。我们所说的附加是指层和半空间之间的界面可以完美地结合(B)或滑动接触(S)。层的另一个表面可以是无牵引力的(F)、刚性的表面(R)或光滑的表面(S)。我们还研究了附着在两个不同的各向异性弹性半空间之间的各向异性弹性层中的定常波。层和半空间之间的两个界面都可以是完美结合的(b/b),一个界面是完美结合的,另一个是光滑的表面(b/S或S/b),或者两个界面都是光滑的表面(S/S)。在推导中,假设层的厚度h很小,并且解的形式是h的幂的无穷级数,从该无穷级数可以通过对任意n保持项直到O(Hn)来获得近似解,但无穷级数具有闭合形式的表达式,因此层的厚度h不必小。
Steady waves propagating in an anisotropic elastic layer that is attached to an anisotropic elastic half-space is studied. By attached we mean that the interface between the layer and the half-space can be perfectly bonded (b) or in sliding contact (s). The other surface of the layer can be traction-free (F), a rigid surface (R) or a slippery surface (S). We also study steady waves in an anisotropic elastic layer that is attached between two different anisotropic elastic half-spaces. The two interfaces between the layer and the half-spaces can be both perfectly bonded (b/b), one of the interfaces is perfectly bonded while the other is a slippery surface (b/s or s/b) or both interfaces are slippery surfaces (s/s). In the derivation the thickness h of the layer is assumed to be small, and the solution is in the form of an infinite series in the power of h from which an approximate solution can be obtained by keeping the terms up to O(h n ) for any n. However, the infinite series has a closed-form expression so that the thickness h of the layer need not be small.