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首页> 外文期刊>International Journal of Engineering Science >Some comments on the dynamic properties of anisotropic and strongly anisotropic pre-stressed elastic solids
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Some comments on the dynamic properties of anisotropic and strongly anisotropic pre-stressed elastic solids

机译：关于各向异性和强各向异性预应力弹性固体动力学特性的一些评论

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摘要

The effect of pre-stress on the propagation of small amplitude waves in an incompressible, transversely isotropic elastic solid is discussed in respect of the most general appropriate strain energy function. A simple set of sufficient conditions is noted which ensures that two real wave speeds exist for all directions of propagation. In the case of bi-axial primary deformations, and for propagation within each principal plane of the homogeneous primary deformation, the propagation condition is factorised and conditions which are both necessary and sufficient to ensure the existence of two real wave speeds are established. The paper also includes some graphical illustrations of the associated slowness and wave surfaces and discussion of the strongly anisotropic case, for which the extensional modulus along the preferred fibre direction is much larger than other material parameters.
机译：关于最一般的适当应变能函数，讨论了预应力对不可压缩的横向各向同性弹性固体中小振幅波传播的影响。记录了一组简单的充分条件，可确保在所有传播方向上都存在两个实际波速。在双轴一次变形的情况下，并且为了在均匀一次变形的每个主平面内传播，将传播条件分解，并建立必要条件和充分条件以确保存在两个实际波速。本文还包括一些相关的慢度和波面的图解说明，以及对强各向异性情况的讨论，在这种情况下，沿首选纤维方向的拉伸模量比其他材料参数大得多。

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