Mechanical Sciences: The Acoustoelastic Response of Polycrystalline Aggregates Exhibiting Texture

声弹性是一种用于结构构件内部应力无损评估的方法。本研究计划旨在扩展声弹性的描述，以充分模拟材料在任意程度上表现出真实纹理的响应。这将从一项分析研究开始，根据已知的组成晶体的特征及其取向分布，对多晶聚集体的弹性和声弹性特性进行建模。与此相关的是在任意载荷作用下，弹性波在正交各向异性体中的声弹响应的一般描述。体波（纵波和横波）和表面波都将被考虑。还需要研究的是多晶骨料中有限粒度对骨料有效性能均匀性的影响，特别是当它们与声弹性有关时。一项补充的实验调查将评估所提出模型的实际可行性。

Acoustoelasticity is a method which had been studied for use in thenondestructive evaluation of stresses within a structural component. This research program seeks to extend the description of acoustoelasticity toadequately model the response of materials exhibiting realistic textures to an arbitrary degree. This will begin with an analytical study to model the elastic and acoustoelastic properties of a polycrystalline aggregate from the known characteristics of the constituent crystals and their orientation distribution. Associated with this is the general description of the acoustoelastic response of an elastic wave in an orthotropic body under arbitrary loading. Both bulk (longitudinal and shear) and surface waves will be considered. Also to be studied is the effect of finite grain size in a polycrystalline aggregate on the homogeneity of the effective properties of the aggregate, particularly as they relate to acoustoelasticity. A complementary experimental investigation will assess the practical viability of the proposed models.