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Fractional dual-phase-lag thermal-mechanical response of an functionally graded spherical microshell with size-dependent effect 具有尺寸依赖效应的功能分级球形微壳的分数双相滞后热机械响应
Pub Date : 2024-02-19 DOI: 10.1177/03093247241231878
Wei Peng, Baocai Pan
Functionally graded materials (FGM) have attracted much attention due to their superior thermal shock resistance in extreme thermal environment. In addition, the memory-dependent feature of transient heat transfer progress can’t be reflected in the frame of integer-order heat conduction model due to the inability of depicting the effect of the past states on the current state. It is noticed that the size-dependent effect of elastic deformation has become significant due to the development of micro-devices. To describe the memory-dependent effect and the size-dependent effect in the functionally graded microstructures, the work aims a thermoelastic model by incorporating the fractional dual-phase-lag heat conduction model and the Eringen’s nonlocal model. To illustrate its application values, the modified model is used to investigate the dynamic performance of an functionally graded spherical microshell subjected to a thermal-mechanical loading. Governing equations including the modified parameters are derived and solved by Laplace transformation. The achieved results show that considering the influences of nonlocal effect and ceramic composition will reduce the thermal deformation under ultrafast heating condition.
功能梯度材料(FGM)因其在极端热环境下卓越的抗热震性而备受关注。此外,由于无法描述过去状态对当前状态的影响,整阶热传导模型框架无法反映瞬态传热过程的记忆依赖特征。人们注意到,随着微器件的发展,弹性变形的尺寸依赖效应变得越来越显著。为了描述记忆效应和尺寸效应在功能分级微结构中的影响,该研究通过结合分数双相滞后热传导模型和 Eringen 非局部模型,建立了一个热弹性模型。为了说明该模型的应用价值,我们使用修改后的模型研究了功能分级球形微壳在热机械载荷作用下的动态性能。通过拉普拉斯变换推导并求解了包括修改参数在内的支配方程。结果表明,考虑非局部效应和陶瓷成分的影响将减少超快加热条件下的热变形。
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引用次数: 0
Thermoelastic transient memory response analysis of non-localized nano-piezoelectric plates based on Moore-Gibson-Thompson thermoelasticity theory 基于摩尔-吉布森-汤普森热弹性理论的非局部纳米压电板热弹性瞬态记忆响应分析
Pub Date : 2024-02-17 DOI: 10.1177/03093247241231063
Zhiwei Shi, Le Li, Tianhu He
With their abilities to induce electric charge, stress or deformation in response to external forces as well as the ease of fabrication, design flexibility and excellent electromechanical properties, piezoelectric materials have been widely used in actuators, sensors and even in nano/micro-electro-mechanical systems. With the rapid advancement of nano/micro-technology, from the perspective of theoretical analysis, the priority is to develop applicable models to describe the piezoelectric-thermoelastic responses of piezoelectric nano/micro-structures suffering transient heat conduction by taking the size-dependent effect and the memory-dependent effect into consideration. In this work, a new model based on the existing piezoelectric-thermoelastic model is established by introducing the nonlocality into the constitutive equations and the memory-dependent derivative into Moore-Gibson-Thompson (MGT) heat conduction equation respectively. Then, this new model is applied to investigating the dynamic responses of a piezoelectric nanoplate subjected to thermal shock. The corresponding governing equations are formulated and then solved by Laplace transform and its numerical inversion. In calculation, the influences of the time delay factor and the kernel function of MDD and the non-local parameter on the thermal, electric and elastic fields in the piezoelectric nanoplate are examined. Meanwhile, the predictions of transient response among different thermoelastic models are compared. The numerical results are illustrated graphically and discussed in detail. The obtained results show that MDD has a significant effect on the transient response, where the effect of the kernel function is more pronounced. This work may provide a theoretical reference for strength design, thermal protection and thermal processing strategies for piezoelectric nanodevices.
压电材料能够在外力作用下产生电荷、应力或形变,而且易于制造、设计灵活、机电性能优异,因此已广泛应用于致动器、传感器甚至纳米/微机电系统中。随着纳米/微米技术的飞速发展,从理论分析的角度来看,当务之急是建立适用的模型,通过考虑尺寸依赖效应和记忆依赖效应来描述压电纳米/微结构遭受瞬态热传导时的压电热弹响应。本研究在现有压电热弹模型的基础上建立了一个新模型,在构成方程中引入了非位置性,并在摩尔-吉布森-汤普森(MGT)热传导方程中分别引入了记忆相关导数。然后,将这一新模型应用于研究受热冲击的压电纳米板的动态响应。建立相应的控制方程,然后通过拉普拉斯变换及其数值反演求解。在计算过程中,考察了 MDD 的时延因子和核函数以及非局部参数对压电纳米板中热场、电场和弹性场的影响。同时,比较了不同热弹性模型对瞬态响应的预测。对数值结果进行了详细的图示和讨论。结果表明,MDD 对瞬态响应有显著影响,其中核函数的影响更为明显。这项工作可为压电纳米器件的强度设计、热保护和热加工策略提供理论参考。
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引用次数: 0
Industrial application of a low-cost structural health monitoring system in large-scale airframe tests 低成本结构健康监测系统在大规模机身测试中的工业应用
Pub Date : 2024-01-27 DOI: 10.1177/03093247231222951
Ceri A Middleton, Khurram Amjad, Richard J Greene, Erwin Hack, Linden Harris, André Kupferschmid, Peter R Lambert, Eann A Patterson
A small, novel, integrated SHM system has been deployed during full-scale testing of a wing fatigue test for several weeks and a fuselage pressurisation test for several months. Complementary NDE measurement techniques were combined, with inputs from visible and infrared optical sensors, as well as resistance strain gauges. Sensor units were deployed at regions of interest and integrated board computers permitted near real-time data processing. The outputs were full-field measurement datasets from digital image correlation and thermoelastic stress analysis systems. Changes in these datasets in the regions of interest were successfully quantified using orthogonal decomposition and were indicative of changes in the condition of the structure. The results from these case studies demonstrate that this system can be successfully deployed in spatially restricted areas within airframe structures to monitor crack growth. The low cost and small footprint of the system presents the opportunity for installation of arrays of similar sensors for both test and in-service data collection. Near real-time data processing would allow timely reporting to service engineers, informing maintenance or operational decisions.
在为期数周的机翼疲劳试验和为期数月的机身加压试验的全面测试中,部署了一个小型、新颖、集成的 SHM 系统。补充性无损检测测量技术与可见光和红外光学传感器以及电阻应变计的输入相结合。传感器单元部署在感兴趣的区域,集成板计算机可进行近乎实时的数据处理。输出是数字图像相关和热弹性应力分析系统的全场测量数据集。使用正交分解法成功地量化了这些数据集在相关区域的变化,并表明了结构状况的变化。这些案例研究的结果表明,该系统可以成功地部署在机身结构内空间受限的区域,以监测裂纹的增长。该系统成本低、占地面积小,可以安装类似的传感器阵列,用于测试和在役数据收集。近乎实时的数据处理可及时向维修工程师报告,为维修或运行决策提供信息。
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引用次数: 0
Geometrically nonlinear bending of stiffened composite skewed cylindrical shells under transverse pressure 横向压力下加劲复合偏斜圆柱壳的几何非线性弯曲
Pub Date : 2024-01-04 DOI: 10.1177/03093247231210960
Ashish Giri, Kaustav Bakshi
The literature review on relative performances of laminated composite skewed shells confirms that research reports on bending performances of moderately thin, stiffened, laminated composite skewed cylindrical panels, using the geometrically nonlinear approach, are not available. This paper aims to fill that deficiency and proposes a finite element code combining eight-noded, doubly curved elements with modified Sanders’ first approximation theory for thin shells and von Kármán-type nonlinear strains. Correctness of the proposed geometrically nonlinear bending formulation for skewed shells are verified through solutions of benchmark problems. The deflections, force, and moment resultants are reported for different skew angles, laminations, stacking sequences, radius of curvature, plan dimension ratios, and stiffener properties like orientations, numbers, and eccentric positions. The results are discussed critically which reveals that shells having curved edges free and straight edges clamped fabricated using 0°/90°/0° laminate offer the best performances. The biaxial stiffeners, nx = 7, ny = 7, show the minimum deflections and stress resultants. The skewed shells offer greater deflections and hence, must be avoided in industrial practices.
有关层压复合材料斜壳相对性能的文献综述证实,采用几何非线性方法对中等厚度的加劲层压复合材料斜圆柱板的弯曲性能进行研究的报告并不多见。本文旨在弥补这一不足,并提出了一种有限元代码,将八编码双曲面元素与薄壳的修正桑德斯第一近似理论和 von Kármán 型非线性应变相结合。通过对基准问题的求解,验证了所提出的倾斜壳体几何非线性弯曲公式的正确性。报告了不同倾斜角、层数、堆叠顺序、曲率半径、平面尺寸比以及加强筋属性(如方向、数量和偏心位置)下的挠度、力和力矩结果。对结果进行了批判性讨论,结果表明,使用 0°/90°/0° 层压板制造的具有自由弯曲边缘和夹紧直边的壳体性能最佳。nx = 7、ny = 7 的双轴加强筋显示出最小的挠度和应力结果。倾斜壳体的挠度更大,因此在工业实践中必须避免。
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引用次数: 0
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The Journal of Strain Analysis for Engineering Design
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