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Elastic wavefield modeling for arbitrarily oriented orthotropic media

机译:任意取向正交各向异性介质的弹性波场建模

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Composite materials have gained a considerable importance, being widely applied e.g. in aerospace industries as unidirectional, layered or woven structures. Through their complex build-up these materials exhibit anisotropic elastic behavior, raising considerable difficulties for ultrasonic nondestructive testing techniques. In modeling the interaction of elastic waves with such media a simple tool of assisting analysis is available. In this respect, simulation and optimization allow for a reduction of experimental work and an increase in reliability of applied testing procedures. For materials exhibiting orthotropic elastic symmetry, fundamental plane wave characteristics are presented in this contribution. These relationships are further applied for transducer-field modeling using the Generalized Point Source Synthesis method [1]. Since for complex-shaped components the materials' natural symmetry planes are in general not identical with the component's surfaces, a respective transformation has been applied recently to yield a compact elastic tensor representation for such configurations [2]. Based on this formulation, all analytical results are obtianed in a coordinate-free form, where the material's spatial orientation appears as an additional parameter. Since orthotropy includes the higher symmetries tetragonal, transversely isotropic, cubic and isotropic, the results presented cover most of the materials of today's industrial interest. Numerical results cover solwness and group velocity diagrams as well as field pattern calculations for commercial transducers including time-depedent rf-impulse modeling.
机译:复合材料已经获得了相当大的重要性,被广泛地应用在例如塑料中。在航空航天工业中为单向,分层或编织结构。由于它们的复杂堆积,这些材料表现出各向异性的弹性行为,这给超声无损检测技术带来了相当大的困难。在对弹性波与这种介质的相互作用进行建模时,可以使用一种简单的辅助分析工具。在这方面,仿真和优化可以减少实验工作,并提高应用测试程序的可靠性。对于表现出正交各向异性弹性对称性的材料,基本贡献就是呈现了基本的平面波特性。这些关系还使用广义点源综合方法[1]进一步应用于换能器场建模。由于对于复杂形状的部件,材料的自然对称平面通常与部件的表面不同,因此,最近已应用了相应的变换来生成此类构造的紧凑弹性张量表示[2]。基于此公式,所有分析结果均以无坐标形式确定,其中材料的空间方向作为附加参数出现。由于正交各向异性包括四边形,横向各向同性,立方和各向同性的较高对称性,因此给出的结果涵盖了当今工业上大多数的材料。数值结果涵盖了溶解度和群速度图以及商用换能器的场模式计算,包括时空依赖的rf脉冲建模。

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