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Numerical analysis of the strain values obtained by FBG embedded in a composite material using assumptions about uniaxial stress state of the optical fiber and capillary on the Bragg grating

机译：使用关于光纤和毛细管毛细管在布拉格光栅上的单轴应力状态下嵌入复合材料中FBG获得的应变值的数值分析

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摘要

One of the issues in the strain measurement with the help of fiber-optic sensors based on Bragg gratings is the calculation of the strain based on the information from the sensor and its correspondence to the material strain. Relationships between the data measured by the sensor and the strain in the Bragg grating have a unique solution under the condition of uniaxial stress state of the fiber, which are not fulfilled when the fiber is embedded in the material. The paper presents the results of numerical simulations with an example of a model problem for a polymer composite material with an embedded optical fiber, which can be surrounded by a resin pocket. The presented results allow to estimate the error of the strain values calculated on the basis of uniaxial stress state assumption of the optical fiber. Based on numerical calculations, parameters of a capillary on an optical fiber in the Bragg grating zone are estimated, ensuring uniaxial stress state of the fiber in the Bragg grating zone. To ensure these conditions, the cross section of the capillary in an isotropic material is a circle, and in an anisotropic material, good results can be obtained with an elliptical cross section.
机译：基于布拉格光栅的光纤传感器的帮助的应变测量中的一个问题是基于来自传感器的信息及其与材料应变的对应的来计算应变。由传感器测量的数据与布拉格光栅中的应变之间的关系在纤维的单轴应力状态的条件下具有独特的溶液，当纤维嵌入材料中时，不满足。本文介绍了数值模拟的结果，其中具有具有嵌入式光纤的聚合物复合材料的模型问题的示例，其可以被树脂袋包围。所提出的结果允许估计基于光纤的单轴应力状态假设计算的应变值的误差。基于数值计算，估计了布拉格光栅区中光纤上的毛细管的参数，确保了布拉格光栅区域中的纤维的单轴应力状态。为了确保这些条件，在各向同性材料中毛细管的横截面是圆形，并且在各向异性材料中，通过椭圆形横截面可以获得良好的结果。

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