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Through Thickness Elastic Profile Determination of Functionally Graded Materials

机译：通过厚度弹性轮廓确定功能梯度材料

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摘要

An experimental method was developed to determine the through thickness elastic modulus profile of a multi-layered functionally graded material. The method consists of two sets of mechanical experiments, a tensile test and a four-point bend test, from which the strains at two locations on either surfaces of the beam are measured for known applied loads. A one-dimensional version of classical laminate theory is then used to calculate the beam stiffness coefficients from the experimentally obtained data. Finally, an inverse analysis is performed in which a minimization scheme using Genetic Algorithm is utilized to determine the elastic modulus of each layer. The applicability of such method is demonstrated for a seven-layered ceramic/metal functionally graded structure with layers ranging from pure Ti to 85 % TiB-15 % Ti on the ceramic-rich side. The elastic modulus of each layer within the examined material is back calculated based on the proposed inverse analysis. The results indicate that the proposed method can be used to obtain the through thickness elastic modulus profile of discretely graded materials with reasonable accuracy.
机译：开发了一种实验方法来确定多层功能梯度材料的贯穿厚度弹性模量曲线。该方法由两组机械实验组成：拉伸试验和四点弯曲试验，从中可以测量梁在任一表面上两个位置的应变，以了解已知的施加载荷。然后使用经典层压板理论的一维版本从实验获得的数据中计算梁的刚度系数。最后，进行逆分析，其中使用遗传算法的最小化方案用于确定每一层的弹性模量。证明了这种方法对七层陶瓷/金属功能梯度结构的适用性，该结构在富陶瓷侧具有从纯Ti到85％TiB-15％Ti的层。基于所提出的反分析，可以反算出被检查材料中每一层的弹性模量。结果表明，该方法可用于获得合理精度的离散梯度材料的贯穿厚度弹性模量分布。

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