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Tikhonov Regularization for the Fully Coupled Integral Method of Incremental Hole-Drilling 增量钻孔全耦合积分法的提霍诺夫正则化
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2024-01-24 DOI: 10.1007/s11340-023-01020-2

Abstract

Background

The unit pulse integral method is used extensively with the incremental hole-drilling residual stress measurement technique. The ASTM E837 standard, which applies only to isotropic materials, recommends the use of Tikhonov regularization to reduce instability when many depth increments are used. In its current formulation, Tikhonov regularization requires the decoupling of stress, as is possible for isotropic materials. The fully coupled integral method is needed for residual stress determination in layered composite laminates and is currently employed without Tikhonov regularization. This causes greater sensitivity to measurement errors and consequently large stress uncertainties. An approximate method of applying Tikhonov regularization exists for biaxial composites, but is not applicable to more complex laminates.

Objective

Extend Tikhonov regularization to the fully coupled integral method to improve residual stress determination in composite laminates.

Methods

This work investigates the use of the approximate and fully coupled regularization approaches in an angle ply composite laminate of [+45/-45/0/90]s construction. Experimental validation in a [0/+45/90/-45]s laminate is also presented where the regularized fully coupled integral method is compared to the series expansion method that includes all in-plane stress and strain directions simultaneously in a least-squares solution.

Results

The regularized integral method produces comparable results to those of series expansion while requiring twelve times less FE computation to calculate the compliances. The optimal degree of regularization is also more convenient to determine than the optimal combination of series order required by series expansion.

Conclusions

The new method is easily applied and should find wide application in the measurement of residual stresses in composite laminates.

摘要 背景 单位脉冲积分法广泛应用于增量钻孔残余应力测量技术。ASTM E837 标准仅适用于各向同性材料,该标准建议使用 Tikhonov 正则化来降低使用多个深度增量时的不稳定性。在目前的表述中,Tikhonov 正则化要求应力解耦,这对于各向同性材料是可行的。层状复合材料层板的残余应力测定需要全耦合积分法,目前采用的是无 Tikhonov 正则化方法。这种方法对测量误差的敏感度较高,因此应力不确定性较大。对于双轴复合材料,有一种应用 Tikhonov 正则化的近似方法,但不适用于更复杂的层压板。 目标 将 Tikhonov 正则化扩展到全耦合积分法,以改进复合材料层压板中残余应力的测定。 方法 本文研究了近似正则化方法和全耦合正则化方法在 [+45/-45/0/90]s 结构的角层复合材料层压板中的应用。同时还介绍了[0/+45/90/-45]s 层压板的实验验证,将正则化完全耦合积分法与在最小二乘法求解中同时包含所有面内应力和应变方向的序列展开法进行了比较。 结果 正则化积分法得出的结果与序列展开法相当,但计算顺应性所需的 FE 计算量减少了 12 倍。与数列展开法所需的数列阶数最佳组合相比,正则化的最佳程度也更容易确定。 结论 新方法易于应用,可广泛用于测量复合材料层压板中的残余应力。
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引用次数: 0
A New Brazilian Disc Test Procedure for the Elastic Moduli of Orthotropic C/C-SiC Composites 用于测量各向同性 C/C-SiC 复合材料弹性模量的新型巴西圆盘测试程序
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2024-01-24 DOI: 10.1007/s11340-023-01028-8
R. Padan, D. Davida, E. Louzon, R. Haj-Ali

Background

Advanced ceramic matrix composites (CMC) are aimed at highly demanding thermo-mechanical environments, such as space or hypersonic applications. Their design and manufacturing require a reliable, cost-effective method for estimating and quantifying CMC mechanical properties.

Objective

CMC composite materials present orthotropic mechanical properties. Different tests are often conducted to measure all independent elastic properties. These variety of tests are expensive and demand significant time and effort. Therefore, it is highly desirable to have one mechanical test that can generate all or most of the elastic properties.

Method

This study proposes a single Brazilian disc (BD) test setup. It investigates an efficient inverse problem to evaluate the Young’s and shear moduli of an orthotropic Liquid Silicon Infiltrated (LSI) C/C–SiC CMC. A combined BD test and Digital Image Correlation (DIC) technique were used for this purpose. The BD test employs a circular disc compressed diametrically in varying orientations of the tested multi-layered CMC 0°/90 o woven carbon fibers. The BD introduces a multi-axial stress and strain field highly affected by these primary elastic moduli. DIC enables full-field multi-axial strain calculations in large spatial variations.

Results

A numerical study resulted in a unique iterative inverse-mechanics test procedure based on BD tests conducted on orthotropic materials at two material orientations. This approach was applied to measure C/C-SiC material properties, showing an efficient and reliable appraisal of major elastic moduli.

Conclusions

The presented approach may drive down both the duration and cost of the mechanical evaluation, thereby potentially improving future process designs.

背景先进的陶瓷基复合材料(CMC)适用于高要求的热机械环境,如太空或高超音速应用。它们的设计和制造需要一种可靠、经济高效的方法来估算和量化 CMC 的机械性能。通常需要进行不同的测试来测量所有独立的弹性特性。这些测试种类繁多,费用昂贵,而且需要花费大量的时间和精力。因此,我们非常希望能有一种机械测试方法来生成所有或大部分弹性特性。本研究提出了单个巴西圆盘(BD)测试装置,并研究了一个有效的逆问题,以评估正交液态硅渗透(LSI)C/C-SiC CMC 的杨氏模量和剪切模量。为此采用了 BD 试验和数字图像相关(DIC)技术。BD 试验采用一个圆形圆盘,在被测多层 CMC 0°/90 o 编织碳纤维的不同方向上进行直径压缩。BD 引入了一个多轴应力场和应变场,受这些主要弹性模量的影响很大。结果 数值研究产生了一种独特的迭代反力学测试程序,该程序基于在两个材料方向上对各向同性材料进行的 BD 测试。该方法被应用于测量 C/C-SiC 材料特性,显示了对主要弹性模量的高效、可靠评估。
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引用次数: 0
Review: High Speed Temperature Measurements Under Dynamic Loading 回顾:动态负载下的高速温度测量
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2024-01-24 DOI: 10.1007/s11340-023-01027-9
G. G. Goviazin, J. C. Nieto-Fuentes, D. Rittel

Background

This review discusses high-speed thermal measurements and their significance in understanding solid materials' behavior, focusing on rapid loading conditions.

Objective

While high-speed thermal measurements are challenging in some cases, these measurements provide unique insights into material response at high rates, by shedding light on failure modes, thermomechanical coupling, and thermal dissipation phenomena that are otherwise overlooked.

Methods

The review presents various direct measurement techniques (contact and non-contact) relevant to high-speed loading, with emphasis on the frequently used ones in mechanics of materials applications: thermocouples, infrared detectors, and high-speed infrared cameras.

Results

Pros and cons of each technique, alongside with typical applications are discussed. Understanding the interplay between thermal effects and mechanical responses opens new avenues for enhancing material performance and energy efficiency.

Conclusions

This review is expected to serve as a valuable resource for researchers and practitioners seeking to leverage high-speed thermal measurements to drive innovation and advance materials science in various applications.

背景本综述讨论了高速热测量及其在理解固体材料行为方面的意义,重点关注快速加载条件。方法本综述介绍了与高速加载相关的各种直接测量技术(接触式和非接触式),重点是材料力学应用中常用的技术:热电偶、红外探测器和高速红外摄像机。结果 讨论了每种技术的优缺点和典型应用。了解热效应与机械响应之间的相互作用,为提高材料性能和能源效率开辟了新的途径。结论 本综述有望成为研究人员和从业人员的宝贵资源,帮助他们利用高速热测量技术推动创新,促进材料科学在各种应用中的发展。
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引用次数: 0
A Label-Free Measurement Method for Plane Stress States in Optical Isotropic Films with Spectroscopic Ellipsometry 利用光谱椭偏仪测量光学各向同性薄膜平面应力状态的无标签测量方法
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2024-01-24 DOI: 10.1007/s11340-023-01026-w
X. Sun, S. Wang, W. Xing, X. Cheng, L. Li, C. Li, Z. Wang

Background

Stress measurement for thin films is crucial in a variety of fields such as in semiconductor manufacturing, the optoelectronics industry, and biomedical science, among others. However, most measurement methods require surface treatment of the thin film.

Objective

A label-free measurement method for plane stress states in optical isotropic thin films based on spectroscopic ellipsometry analysis is proposed and verified in this paper.

Methods

The proposed method is based on the modulation of the stress-optic effect on reflected spectroscopic ellipsometry. A theoretical model is established to describe the relation between all components of the plane-stress state and the classic ellipsometric parameters (Ψ, Δ). An algorithm is developed to determine all components of a plane-stress state by fitting the model to the experiment data.

Results

In the verification experiment, we determined the plane stress state of a Cu film coated on a PI (polyimide) substrate. The results show a reasonable agreement between the experimental measurements from spectroscopic ellipsometry and the theoretical analysis based on the applied loading.

Conclusion

The results prove that our method can effectively measure the plane stress state of optical isotropic thin films.

背景薄膜应力测量在半导体制造、光电子工业和生物医学等多个领域都至关重要。本文提出并验证了一种基于光谱椭偏仪分析的光学各向同性薄膜平面应力状态无标记测量方法。方法本文提出的方法基于反射光谱椭偏仪的应力光学效应调制。建立了一个理论模型来描述平面应力状态的所有分量与经典椭偏参数(Ψ、Δ)之间的关系。结果在验证实验中,我们确定了涂覆在 PI(聚酰亚胺)基底上的铜膜的平面应力状态。结果表明,光谱椭偏仪的实验测量结果与基于外加载荷的理论分析结果之间存在合理的一致性。
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引用次数: 0
Correction: Experimental Investigation of the Ballistic Response of Head Surrogate Against Fragment Simulating Projectiles 更正:头部替代物对碎片模拟射弹弹道响应的实验研究
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2023-12-20 DOI: 10.1007/s11340-023-01024-y
P. K. Pandey, Y. K. Joshi, M. K. Khan, M. A. Iqbal, S. G. Ganpule
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引用次数: 0
On the Cover: Novel Speckle Preparation and Heat Insulation Method for DIC Strain Measurement at Cryogenic Temperature and Large Deformation Environment 封面:用于低温和大变形环境下 DIC 应变测量的新型斑点制备和隔热方法
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2023-12-19 DOI: 10.1007/s11340-023-01025-x
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引用次数: 0
Theoretical Prediction and Experimental Measurement of the Evolution of Polymerization Shrinkage Stress Under Different Photocuring Protocols 不同光固化工艺下聚合收缩应力演变的理论预测和实验测量
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2023-12-12 DOI: 10.1007/s11340-023-01019-9
K. Wang, Z.Z. Wang

Background

The service quality and life of photopolymerized materials are dramatically impaired by shrinkage stress generated during the polymerization process. Several soft-start photocuring protocols including two-step, ramp, and pulse delay have been proposed to reduce the shrinkage stress. However, the mechanism for the shrinkage stress reduction by soft-start photocuring remains largely elusive.

Objective

This study aims to explore the mechanism for shrinkage stress reduction in soft-start photocuring protocols and then propose a universal strategy to maximize the stress reduction.

Method

A theory-experiment-combined method was developed to investigate the effect of soft-start photocuring protocols on the shrinkage stress evolution. Shrinkage stresses under different protocols were measured by a standardized cantilever beam-based instrument. An improved theoretical model incorporating the evolutions of the reaction kinetics and material properties was developed to predict the shrinkage stress evolution under different curing protocols.

Results

Compared to the standard protocol with a constant photo-irradiation, all the soft-start photocuring protocols could effectively reduce the shrinkage stress and the two-step protocol achieved a maximum reduction of 25% among all experimental conditions. The elastic modulus of photopolymers coincided under the same radiant exposure and irradiation intensity. Unlike previous studies focusing on the mechanical properties of the photopolymers, we found that the shrinkage stress reduction by soft-start photocuring protocols could be attributed to a delayed gelation and a reduction in the peak temperature change after gelation. Based on these mechanisms, adding a delay time before the gelation was proposed as an effective strategy to reduce the shrinkage stress, leading to a reduction of up to more than 40% according to the theoretical predictions. Additionally, the timing for introducing the delay and its duration can be effectively and conveniently determined by monitoring the real-time evolution of shrinkage stress in the standard photocuring protocol.

Conclusions

This theory-experiment-combined study not only uncovers that the shrinkage stress reduction by soft-start photocuring protocol is attributed to the delay in the gelation and the reduction of the peak temperature change after the gelation but also proposes an effective approach to mitigate shrinkage stress by adding a delay time before the gelation. Such a strategy for maximizing the shrinkage stress reduction while maintaining the mechanical and curing properties is to guide the practical applications of photopolymers.

光聚合过程中产生的收缩应力会严重影响光聚合材料的使用质量和寿命。提出了几种软启动光固化方案,包括两步、斜坡和脉冲延迟,以减少收缩应力。然而,软启动光固化减少收缩应力的机理仍然是一个很大的谜团。目的探讨软启动光固化工艺中收缩应力减小的机理,并提出一种减小应力的通用策略。方法采用理论-实验相结合的方法研究软启动光固化工艺对收缩应力演化的影响。不同方案下的收缩应力测量由标准化的悬臂梁为基础的仪器。结合反应动力学和材料性能的演变,建立了一个改进的理论模型来预测不同固化方案下的收缩应力演变。结果与恒定光照射的标准方案相比,所有软启动光固化方案均能有效降低收缩应力,两步法方案在所有实验条件中最大减小了25%。在相同的辐照量和辐照强度下,光聚合物的弹性模量基本一致。不同于以往的研究聚焦于光聚合物的机械性能,我们发现软启动光固化方案的收缩应力降低可归因于延迟凝胶化和凝胶化后峰值温度变化的降低。基于这些机理,在胶凝前添加延迟时间被认为是降低收缩应力的有效策略,根据理论预测,收缩应力降低幅度超过40%。此外,通过监测标准光固化方案中收缩应力的实时演变,可以有效方便地确定引入延迟的时间和持续时间。结论本理论与实验相结合的研究不仅揭示了软启动光固化方案的收缩应力降低归因于凝胶化的延迟和凝胶化后峰值温度变化的减少,而且提出了在凝胶化前增加延迟时间来缓解收缩应力的有效方法。这种在保持机械和固化性能的同时最大限度地减小收缩应力的策略对光聚合物的实际应用具有指导意义。
{"title":"Theoretical Prediction and Experimental Measurement of the Evolution of Polymerization Shrinkage Stress Under Different Photocuring Protocols","authors":"K. Wang, Z.Z. Wang","doi":"10.1007/s11340-023-01019-9","DOIUrl":"https://doi.org/10.1007/s11340-023-01019-9","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Background</h3><p>The service quality and life of photopolymerized materials are dramatically impaired by shrinkage stress generated during the polymerization process. Several soft-start photocuring protocols including two-step, ramp, and pulse delay have been proposed to reduce the shrinkage stress. However, the mechanism for the shrinkage stress reduction by soft-start photocuring remains largely elusive.</p><h3 data-test=\"abstract-sub-heading\">Objective</h3><p>This study aims to explore the mechanism for shrinkage stress reduction in soft-start photocuring protocols and then propose a universal strategy to maximize the stress reduction.</p><h3 data-test=\"abstract-sub-heading\">Method</h3><p>A theory-experiment-combined method was developed to investigate the effect of soft-start photocuring protocols on the shrinkage stress evolution. Shrinkage stresses under different protocols were measured by a standardized cantilever beam-based instrument. An improved theoretical model incorporating the evolutions of the reaction kinetics and material properties was developed to predict the shrinkage stress evolution under different curing protocols.</p><h3 data-test=\"abstract-sub-heading\">Results</h3><p>Compared to the standard protocol with a constant photo-irradiation, all the soft-start photocuring protocols could effectively reduce the shrinkage stress and the two-step protocol achieved a maximum reduction of 25% among all experimental conditions. The elastic modulus of photopolymers coincided under the same radiant exposure and irradiation intensity. Unlike previous studies focusing on the mechanical properties of the photopolymers, we found that the shrinkage stress reduction by soft-start photocuring protocols could be attributed to a delayed gelation and a reduction in the peak temperature change after gelation. Based on these mechanisms, adding a delay time before the gelation was proposed as an effective strategy to reduce the shrinkage stress, leading to a reduction of up to more than 40% according to the theoretical predictions. Additionally, the timing for introducing the delay and its duration can be effectively and conveniently determined by monitoring the real-time evolution of shrinkage stress in the standard photocuring protocol.</p><h3 data-test=\"abstract-sub-heading\">Conclusions</h3><p>This theory-experiment-combined study not only uncovers that the shrinkage stress reduction by soft-start photocuring protocol is attributed to the delay in the gelation and the reduction of the peak temperature change after the gelation but also proposes an effective approach to mitigate shrinkage stress by adding a delay time before the gelation. Such a strategy for maximizing the shrinkage stress reduction while maintaining the mechanical and curing properties is to guide the practical applications of photopolymers.</p>","PeriodicalId":552,"journal":{"name":"Experimental Mechanics","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138632150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantitative Evaluation of Interfacial Defect Size and Pattern by Solving a 3D Inverse Problem Based on Step Heating Thermography 通过解决基于阶跃加热热成像技术的三维逆问题,定量评估界面缺陷的大小和形态
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2023-12-12 DOI: 10.1007/s11340-023-01021-1
L. Zhuo, Y. Xu, J. Zhu, C. Li, C. Liu, F. Yi

Background

Active infrared thermography is proved to be viable and attractive for non-destructive evaluation of interfacial defects like delaminations in a coating-substrate system. But it is a challenging task to accurately quantify small and deeply buried defects from thermal images, due to the inevitable effects of lateral heat diffusion and measurement noise.

Objective

The aim of this work is to estimate the size and pattern of defects at the interface of a two-layer system with high accuracy and high reliability based on step heating thermography.

Methods

To characterize the effect of defect on the heat flow, a virtual heat flux is assumed at the interface, which is reconstructed from measured surface temperature by solving a three-dimensional inverse problem. The inverse solution is obtained using the Green’s function and regularization techniques, and then used for estimating the defect pattern by threshold segmentation. An improvement on computational efficiency is achieved by an iteratively substitution of nodal temperature.

Results

Simulations with synthetic data generated by a finite element model validate the feasibility of this approach. Results obtained from experiments for an Aluminum oxide/steel system show the robustness of this approach, when temperatures are contaminated with measurement noise. Both the performance on estimation of various defect shapes and the effects of regularization are discussed.

Conclusion

This study show that the present approach brings an improvement in accuracy and reliability for the estimation of size and pattern of defects with various diameter-to-depth ratios, in comparison with conventional techniques.

主动红外热成像技术已被证明是一种可行的、有吸引力的无损评价涂层-衬底系统中分层等界面缺陷的方法。但由于不可避免的侧向热扩散和测量噪声的影响,从热图像中准确量化小而深埋的缺陷是一项具有挑战性的任务。目的利用步进加热热成像技术,高精度、高可靠性地估计两层体系界面缺陷的尺寸和形态。方法为了表征缺陷对热流的影响,在界面处假设一个虚拟热流,并通过求解三维逆问题从测量的表面温度重建该虚拟热流。利用格林函数和正则化技术求出缺陷模式的反解,然后利用阈值分割法对缺陷模式进行估计。通过节点温度的迭代替换,提高了计算效率。结果用有限元模型生成的综合数据进行了仿真,验证了该方法的可行性。氧化铝/钢系统的实验结果表明,当温度受到测量噪声污染时,该方法具有鲁棒性。讨论了各种缺陷形状的估计性能和正则化的影响。结论本研究表明,与传统方法相比,该方法对不同径深比缺陷的尺寸和模式的估计精度和可靠性有所提高。
{"title":"Quantitative Evaluation of Interfacial Defect Size and Pattern by Solving a 3D Inverse Problem Based on Step Heating Thermography","authors":"L. Zhuo, Y. Xu, J. Zhu, C. Li, C. Liu, F. Yi","doi":"10.1007/s11340-023-01021-1","DOIUrl":"https://doi.org/10.1007/s11340-023-01021-1","url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Background</h3><p>Active infrared thermography is proved to be viable and attractive for non-destructive evaluation of interfacial defects like delaminations in a coating-substrate system. But it is a challenging task to accurately quantify small and deeply buried defects from thermal images, due to the inevitable effects of lateral heat diffusion and measurement noise.</p><h3 data-test=\"abstract-sub-heading\">Objective</h3><p>The aim of this work is to estimate the size and pattern of defects at the interface of a two-layer system with high accuracy and high reliability based on step heating thermography.</p><h3 data-test=\"abstract-sub-heading\">Methods</h3><p>To characterize the effect of defect on the heat flow, a virtual heat flux is assumed at the interface, which is reconstructed from measured surface temperature by solving a three-dimensional inverse problem. The inverse solution is obtained using the Green’s function and regularization techniques, and then used for estimating the defect pattern by threshold segmentation. An improvement on computational efficiency is achieved by an iteratively substitution of nodal temperature.</p><h3 data-test=\"abstract-sub-heading\">Results</h3><p>Simulations with synthetic data generated by a finite element model validate the feasibility of this approach. Results obtained from experiments for an Aluminum oxide/steel system show the robustness of this approach, when temperatures are contaminated with measurement noise. Both the performance on estimation of various defect shapes and the effects of regularization are discussed.</p><h3 data-test=\"abstract-sub-heading\">Conclusion</h3><p>This study show that the present approach brings an improvement in accuracy and reliability for the estimation of size and pattern of defects with various diameter-to-depth ratios, in comparison with conventional techniques.</p>","PeriodicalId":552,"journal":{"name":"Experimental Mechanics","volume":null,"pages":null},"PeriodicalIF":2.4,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138632068","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Assessing the Validity of Analytical Equations for Offshore Power Cable Bending with Fixed and Loose Tube Fiber Strain Sensors 利用固定和松套管式光纤应变传感器评估海上电力电缆弯曲分析方程的有效性
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2023-12-09 DOI: 10.1007/s11340-023-01023-z
J. Ryvers, M. Loccufier, W. De Waele

Background

Subsea power cable failures in offshore wind farms result in significant financial losses. One common failure mode is submarine power cable bending.

Objective

The primary objective of this study is to validate two analytical models using strain readings obtained from a novel 3-point bending setup designed for power cable specimens. The setup incorporates two types of optical fiber sensors for simultaneous strain measurement.

Methods

A 3-point bending setup is constructed, integrating optical fiber sensors installed on the embedded fiber optic cable within the submarine power cable. One set of sensors is fixed to the fiber optic cable sheath, while a second set consists of loose tube fibers that are inside the fiber optic cable. The strain readings of the fixed sensors are compared to two analytical models. The first analytical model assumes a constant power cable curvature, while the second model considers variable curvature.

Results

The analytical models both predict nearly flat strain profiles and are in line with each other. The strain data, however, approaches zero strain away from the cable center. Model assumptions such as perfect sensor positioning and zero slip of the fiber optic cable cause this discrepancy. The results of the constant curvature model agree well with strain averages of the fixed sensors around the central region of the power cable, and both scale linearly with amplitude. Finally, the strain readings from the loose tube fibers demonstrate high reproducibility, facilitating the development of a calibration curve for estimating power cable curvature.

Conclusions

The analytical models surpass existing models by providing good agreement with the measured strain around the cable center. Moreover, the highly reproducible strain readings from the loose tube fibers allow estimating power cable curvature.

背景海上风电场的海底电力电缆故障会造成重大经济损失。本研究的主要目的是利用为电力电缆试样设计的新型三点弯曲装置获得的应变读数来验证两个分析模型。该装置集成了两种类型的光纤传感器,可同时进行应变测量。方法构建了一个三点弯曲装置,集成了安装在海底电力电缆内嵌入式光缆上的光纤传感器。一组传感器固定在光缆护套上,另一组由光缆内部的松散管状光纤组成。固定传感器的应变读数与两个分析模型进行了比较。第一个分析模型假定电力电缆曲率恒定,而第二个模型则考虑了可变曲率。然而,应变数据在远离电缆中心的地方接近零应变。造成这种差异的原因在于模型假设,如完美的传感器定位和光缆的零滑移。恒定曲率模型的结果与电力电缆中心区域周围固定传感器的应变平均值非常吻合,并且两者都随振幅呈线性变化。最后,来自松散管状光纤的应变读数显示出很高的可重复性,有助于开发用于估算电力电缆曲率的校准曲线。此外,松散管状光纤的应变读数具有很高的再现性,有助于估算电力电缆的曲率。
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引用次数: 0
Mitigating Oblique Impacts by Unraveling of Buckled Carbon Nanotubes in Helmet Liners 通过解开头盔衬垫中的折叠碳纳米管来减缓斜向撞击
IF 2.4 3区 工程技术 Q2 Engineering Pub Date : 2023-12-07 DOI: 10.1007/s11340-023-01013-1
B. Maheswaran, K. Chawla, R. Thevamaran

Background

Helmet systems most commonly experience oblique blunt impacts which cause simultaneous linear and rotational accelerations. The ability to attenuate both linear and rotational accelerations by absorbing the normal shock while accommodating large shear deformations with energy dissipation is critical to developing superior helmet liners that prevent traumatic brain injury (TBI).

Objective

To investigate the quasistatic compression-shear response of vertically aligned carbon nanotube (VACNT) foams—which are known for their exceptional specific energy absorption in compression—and explore their potential of accommodating large shear strains at lower shear stress levels, under large compression-shear loadings.

Methodology

We investigate the quasistatic compression shear response of freestanding vertically aligned carbon nanotube foams subjected to varied initial precompressions. We use in situ high speed microscopy to visualize the microscale deformations during shear.

Results

Vertically aligned carbon nanotube foams exhibit a nonlinear hysteric shear stress–strain response that varies as a function of initial normal precompression. At a given precompression, initial linear response at very low shear strains leads to a behavior showing increasing compliance leading to a plateau like regime at moderate shear strains and then transitions into a stiffening behavior at high shear strains. The shear stress–strain response softens with the increase in initial precompression demonstrating the vertically aligned carbon nanotube foam’s potential to accommodate large shear strains more effectively at severe compression-shear loads unlike other solids that typically jam. In situ high-speed microscopy reveals the unraveling of carbon nanotubes that collectively buckled during precompression, allowing them to accommodate large shear strains at low shear stress levels.

Conclusion

We demonstrate the ability of vertically aligned carbon nanotube to accommodate large shear strains at lower shear stress levels under large compression-shear loadings. We propose a model to predict the compression-shear response at different precompressive strains and use this model to develop a deformation modality diagram that categorizes the dominant deformation mechanisms at different loads along different loading angles.

背景头盔系统通常会受到斜向钝器撞击,从而同时产生线性加速度和旋转加速度。通过吸收正常冲击力来减弱线性加速度和旋转加速度,同时容纳大的剪切变形并消散能量,这种能力对于开发可预防创伤性脑损伤(TBI)的优质头盔衬里至关重要。目标研究垂直排列碳纳米管(VACNT)泡沫的准静态压缩剪切响应--众所周知,这种泡沫在压缩过程中具有出色的比能量吸收能力--并探索其在较大的压缩剪切负载下以较低的剪应力水平容纳较大剪切应变的潜力。方法我们研究了独立的垂直排列碳纳米管泡沫在不同的初始预压缩条件下的准静态压缩剪切响应。我们使用原位高速显微镜观察剪切过程中的微观变形。结果垂直排列的碳纳米管泡沫表现出非线性歇斯底里剪切应力-应变响应,这种响应随初始法向预压缩的函数而变化。在给定的预压缩条件下,极低剪切应变下的初始线性响应会导致顺应性不断增加,从而在中等剪切应变下出现类似高原的状态,然后在高剪切应变下过渡到硬化行为。剪切应力-应变响应随着初始预压缩的增加而变软,这表明垂直排列的碳纳米管泡沫具有在严重压缩-剪切负荷下更有效地适应大剪切应变的潜力,这一点与通常卡住的其他固体不同。原位高速显微镜揭示了碳纳米管在预压缩过程中的解离,这些碳纳米管在预压缩过程中集体屈曲,使它们能够在较低的剪切应力水平下容纳较大的剪切应变。我们提出了一个模型来预测不同预压缩应变下的压缩-剪切响应,并利用该模型绘制了一个变形模式图,将不同载荷沿不同加载角度的主要变形机制进行了分类。
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引用次数: 0
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Experimental Mechanics
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