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The aging behavior of HDPE pipe bodies and butt-fusion welded joints: effects of thermal oxidative and hydrothermal accelerated aging 高密度聚乙烯管体和对熔焊接接头的老化行为:热氧化和水热加速老化的影响
IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-25 DOI: 10.1007/s11043-024-09693-5
Ying-Chun Chen, Jie Yang, Yan-Feng Li, Rui Miao, Qiang Li, Xiao-li Fan

We investigate the aging behavior of High-Density Polyethylene (HDPE) pipelines, specifically comparing the Pipe Body (PB) and Butt-Fusion Welded Joint (BFWJ) under thermal oxidative and hydrothermal accelerated aging conditions. Our results indicate that the performance disparity between PB and BFWJ diminishes as aging time increases. We also find that the specimen type affects the quantity of polyethylene fibers, with hydrothermal aging significantly affecting the cohesive force among these fibers in both PB and BFWJ. These findings on differential aging processes of PB and BFWJ contribute to a deeper understanding of HDPE pipeline durability and offer practical recommendations for mitigating degradation risks associated with these disparities. This research underscores the importance of considering specific aging behaviors in the maintenance and reliability assessment of HDPE pipeline systems used in energy transport, industrial, and agricultural applications.

我们对高密度聚乙烯(HDPE)管道的老化行为进行了研究,特别是在热氧化和水热加速老化条件下对管体(PB)和对接熔接接头(BFWJ)进行了比较。结果表明,随着老化时间的延长,PB 和 BFWJ 之间的性能差距逐渐缩小。我们还发现,试样类型会影响聚乙烯纤维的数量,水热老化会显著影响 PB 和 BFWJ 中这些纤维之间的内聚力。这些关于 PB 和 BFWJ 不同老化过程的发现有助于加深对高密度聚乙烯管道耐久性的理解,并为降低与这些差异相关的降解风险提供了实用建议。这项研究强调了在能源运输、工业和农业应用中使用的高密度聚乙烯管道系统的维护和可靠性评估中考虑特定老化行为的重要性。
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引用次数: 0
Two-stage heat-transfer modeling of cylinder-cavity porous magnetoelastic bodies 圆柱腔多孔磁弹性体的两级传热建模
IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-25 DOI: 10.1007/s11043-024-09691-7
Mohamed E. Elzayady, Ahmed E. Abouelregal, Faisal Alsharif, Hashem Althagafi, Mohammed Alsubhi, Yazeed Alhassan

This paper investigates the thermoelastic behavior of porous materials under magnetic fields using a dual-phase lag (DPL) model, with a specific focus on an unbounded porous body containing a cylindrical cavity. By applying the Laplace transform to address the time-dependent aspects of the governing equations, we investigate the effects of harmonically varying heat loads on the material’s porous–thermoelastic response. Numerical simulations provide insights into the distribution of excess pore water pressure, temperature, displacement, thermal stresses, and the magnetic field within the material. Results are presented through graphical analyses, facilitating a detailed comparison of porous–thermoelastic behaviors under different conditions. This approach not only validates the model’s accuracy but also enhances our understanding of porous materials’ responses to thermal and magnetic stimuli, offering valuable implications for their design and safety in engineering applications.

本文利用双相滞后(DPL)模型研究了多孔材料在磁场作用下的热弹性行为,重点研究了包含一个圆柱形空腔的无界多孔体。通过应用拉普拉斯变换来解决控制方程的时间相关性问题,我们研究了谐波变化的热负荷对材料多孔热弹响应的影响。通过数值模拟,我们可以深入了解材料内部过剩孔隙水压力、温度、位移、热应力和磁场的分布情况。结果通过图形分析呈现,便于详细比较不同条件下的多孔-热弹行为。这种方法不仅验证了模型的准确性,还增强了我们对多孔材料对热和磁刺激响应的理解,为工程应用中的设计和安全提供了宝贵的启示。
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引用次数: 0
Dynamic mechanical response and functional mechanisms in rabbit pulmonary tissue 兔肺组织的动态机械响应和功能机制
IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-24 DOI: 10.1007/s11043-024-09697-1
Yue Liu, Qiong Deng, Yongshuai Wang, Chenxu Zhang, Mingwei Chen, Zhi Hu, Yinggang Miao

Lung tissue plays a crucial role in biological functions and exhibits significant sensitivity to mechanical loading. Its mechanical properties have garnered increased attention for their potential to guide human protection strategies against collisions and explosions. However, the behavior and underlying mechanisms remain largely undefined, particularly under dynamic loading conditions. In the present study, rabbit lung tissues were subjected to directional compression loadings, both parallel and perpendicular to the trachea. For accurate dynamic measurements, a modified Hopkinson pressure bar was employed. To minimize spike-like stress characteristics, annular specimens were utilized, and a polymethyl methacrylate bar served as the transmission tube, in conjunction with semiconductor strain gauges, to enhance the amplification of transmission signals. Experiments were meticulously conducted using the modified split Hopkinson pressure bar and an Instron machine, covering a strain rate range of 0.0005–3000 s−1. The results revealed a pronounced rate-dependence in the stress–strain curves of lung tissue, characterized by an initial linear elastic regime, a deformation plateau, and ultimate densification. A significant dependency on strain rate was observed, with the strength of tissue increasing a thousandfold from quasi-static to dynamic loading. Anisotropic behavior was evident under both loading directions. Furthermore, both strain rate dependency and anisotropic behavior became more pronounced beyond 0.3 strain under dynamic loading and 0.45 under quasi-static loading. Finally, potential mechanisms involving tissue fluid discharge and the mechanical characteristics of orientated collagen were proposed. These mechanisms were corroborated by staining techniques that demonstrated the predominant orientation of collagen in a specific direction within rabbit lung tissue.

肺组织在生物功能中发挥着至关重要的作用,并对机械负荷表现出极大的敏感性。肺组织的机械特性因其在指导人类抵御碰撞和爆炸的保护策略方面的潜力而受到越来越多的关注。然而,其行为和基本机制在很大程度上仍未确定,尤其是在动态加载条件下。在本研究中,兔子肺组织受到平行于气管和垂直于气管的定向压缩负荷。为了进行精确的动态测量,采用了改进的霍普金森压力棒。为了尽量减少尖峰应力特性,采用了环形试样,并用聚甲基丙烯酸甲酯棒作为传输管,同时使用半导体应变片来增强传输信号的放大效果。使用改良的分体式霍普金森压力棒和 Instron 机器进行了细致的实验,应变速率范围为 0.0005-3000 s-1。实验结果表明,肺组织的应力-应变曲线具有明显的速率依赖性,其特征为初始线性弹性机制、变形高原和最终致密化。应变速率与肺组织的强度密切相关,从准静态加载到动态加载,肺组织的强度增加了一千倍。各向异性行为在两个加载方向上都很明显。此外,应变率依赖性和各向异性在动态加载下超过 0.3 应变和准静态加载下超过 0.45 应变时都变得更加明显。最后,提出了涉及组织液排放和定向胶原蛋白机械特性的潜在机制。染色技术证实了这些机制,染色技术显示了兔肺组织中胶原蛋白在特定方向上的主要取向。
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引用次数: 0
Characterization of the mechanical behavior and constitutive modeling of sandstone under acidic dry-wet cycles and dynamic loading 酸性干湿循环和动态加载下砂岩的力学行为特征和构成模型
IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-23 DOI: 10.1007/s11043-024-09696-2
Pu Yuan, Xiaobo Zheng, Ningning Wei, Aobo Li

We investigate herein the role of acidic dry-wet cycles and dynamic loading on the mechanical stability of sandstone, which is crucial for managing closed and abandoned mines’ safety. Using a split Hopkinson pressure bar, we conducted dynamic compression tests on sandstone samples exposed to four acidic conditions (pH = 3, 5, 6.5, 7) and five dry-wet cycle frequencies (1, 5, 10, 20, 30) at an impact pressure of 0.70 MPa. Our findings reveal that the dynamic stress-strain response of sandstone entails compacting, elastic, plastic, and failure phases, with peak stress and elasticity decreasing as the acidity and cycle frequency increase. Analytical techniques, including EDS, XRD, and NMR, showed changes in composition and porosity, indicating reduced deterioration compared to untreated stone. Based on Weibull distribution and damage mechanics, a dynamic damage constitutive model was developed to accurately predict the sandstone’s behavior under these conditions. This model, validated by experimental data, effectively captures the dynamic stress-strain characteristics of sandstone, indicating the importance of understanding environmental degradation effects on rock stability in mining contexts.

我们在此研究了酸性干湿循环和动态载荷对砂岩机械稳定性的作用,这对管理已关闭和废弃矿山的安全至关重要。我们使用分体式霍普金森压力棒,在 0.70 兆帕的冲击压力下,对暴露于四种酸性条件(pH = 3、5、6.5、7)和五种干湿循环频率(1、5、10、20、30)下的砂岩样本进行了动态压缩试验。我们的研究结果表明,砂岩的动态应力-应变响应包括压实、弹性、塑性和破坏阶段,随着酸度和循环频率的增加,峰值应力和弹性会减小。包括 EDS、XRD 和 NMR 在内的分析技术显示了成分和孔隙率的变化,表明与未处理的石材相比,劣化程度有所降低。根据威布尔分布和损伤力学,开发了一个动态损伤构成模型,以准确预测砂岩在这些条件下的行为。该模型经实验数据验证,能有效捕捉砂岩的动态应力应变特征,表明了解环境退化对采矿环境中岩石稳定性影响的重要性。
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引用次数: 0
The effect of transverse isotropy on the creep behavior of bedded salt under confining pressures 横向各向同性对层状盐在约束压力下蠕变行为的影响
IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-17 DOI: 10.1007/s11043-024-09695-3
Kanya Kraipru, Kittitep Fuenkajorn, Thanittha Thongprapha

In this paper, we investigate the role of transverse isotropy on the creep behavior of bedded salt. We conducted a series of triaxial creep tests on prismatic specimens subjected to confining pressures ((sigma _{3})) of up to 24 MPa and a constant octahedral shear stress ((tau _{mathrm{o}})) of 9 MPa. The specimens were oriented with their bedding planes at various angles ((beta )) to the major principal axis to simulate transverse isotropic conditions. Our findings reveal that both instantaneous and creep deformations are most significant when (beta = 0^{circ }), decreasing progressively to a minimum at (beta = 90^{circ }) across all confining pressures. The discrepancy in deformations between these intrinsic angles narrows with increasing (sigma _{3}). Creep deformations for intermediate angles ((0^{circ} < beta < 90^{circ })) follow the elliptical equations. Utilizing the Burgers creep model, we observed that the instantaneous, viscoelastic moduli, and viscoplastic coefficients escalate with (beta ). The degree of anisotropy declines sharply as confining pressures increase, reaching an isotropic state under (tau _{mathrm{o}} = 9text{ MPa}) and (sigma _{3}) around 40 MPa, beyond which transient creep ceases, indicating a transition to Maxwell-material behavior. Employing linear viscoelastic theory, we derived an equation for time-dependent deformation under varying octahedral shear stresses. This enables the formulation of governing equations for Burgers-model parameters, considering bedding plane orientations, loading durations, and the interactions between shear and confining stresses.

本文研究了横向各向同性对盐层蠕变行为的影响。我们对棱柱体试样进行了一系列三轴蠕变试验,试样承受的约束压力((sigma _{3}))高达24兆帕,八面体恒定剪应力((tau _{/mathrm{o}})为9兆帕。为模拟横向各向同性条件,试样的基底面与主要主轴成不同角度((beta ))。我们的研究结果表明,当 (beta = 0^{circ } 时,瞬时变形和蠕变变形都是最显著的,在所有约束压力下,当 (beta = 90^{circ } 时逐渐减小到最小。这些固有角度之间的变形差异随着 (sigma _{3}) 的增加而缩小。中间角度(0^{circ} < beta < 90^{circ })的蠕变变形遵循椭圆方程。利用布尔格斯蠕变模型,我们观察到瞬时系数、粘弹性模量和粘塑性系数随着 (beta ) 的增大而增大。随着约束压力的增加,各向异性程度急剧下降,在(tau _{mathrm{o}} = 9text{ MPa}) 和 (sigma _{3}) 40 MPa 左右达到各向同性状态,超过该状态后瞬态蠕变停止,表明向麦克斯韦材料行为过渡。利用线性粘弹性理论,我们推导出了在变化的八面体剪切应力作用下随时间变化的变形方程。这使得我们能够在考虑了垫层平面方向、加载持续时间以及剪应力和约束应力之间的相互作用的情况下,制定布尔格斯模型参数的控制方程。
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引用次数: 0
Assessment of the strength deterioration of a coal pillar using a strain-softening time-dependent constitutive model 利用应变软化随时间变化的构成模型评估煤柱的强度劣化情况
IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-16 DOI: 10.1007/s11043-024-09692-6
Prudhvi Raju Gadepaka,  Sonu, Ashok Jaiswal

In this study, a time-dependent constitutive model of a coal pillar was developed using the Hoek–Brown strain-softening model, which is useful for studying the strength deterioration of a coal pillar over time. A database of 32 failed cases of coal pillars of different ages from the Witbank Coalfield has been utilized to deduce the strength parameters of the coal seam through back analysis. A three-dimensional finite-difference method (FDM) has been chosen to simulate the failed cases. The simulation results have been obtained in terms of pillar strength and FOS of the pillar concerning time. Based on the simulation results the life of the pillar is considered when FOS is nearly equal to 1. The appropriate strength parameters have been derived as peak strength parameters: (m_{i} = 1.47) and (s_{i} = 0.01); residual parameters: (m_{r} = 0.125) and (s_{r} = 0.00001); strength-reduction parameters: (alpha = 0.04), (beta = 200) for a coal mass. 39 stable cases from the same coalfields (Witbank) have been considered to validate the strength parameters. The simulation results of all the stable cases were showing FOS > 1. The proposed constitutive model is suitable for assessing a pillar’s time-dependent strength deterioration and creep behavior. The deterioration/yielding of the pillar is observed to be initiated from the skin/side, extending deeper into the pillar’s core with time and ultimately forming an hourglass shape. It is also observed that the FOS of the pillar decreases with time.

本研究利用霍克-布朗应变软化模型建立了煤柱随时间变化的构成模型,该模型有助于研究煤柱强度随时间变化的情况。利用维特班克煤田 32 个不同年代煤柱的失败案例数据库,通过回溯分析推导出煤层的强度参数。采用三维有限差分法(FDM)对失效案例进行模拟。模拟结果显示了煤柱强度和煤柱随时间变化的 FOS。根据模拟结果,当 FOS 几乎等于 1 时,支柱的寿命被认为是合适的:(m_{i} = 1.47) and (s_{i} = 0.01); 剩余参数:(m_{r} = 0.125) and(s_{r} = 0.00001); 强度降低参数:(α = 0.04),(beta = 200) for a coal mass.为验证强度参数,考虑了来自同一煤田(Witbank)的 39 个稳定案例。所有稳定案例的模拟结果均显示为 FOS > 1。 所提出的构成模型适用于评估煤柱随时间变化的强度劣化和蠕变行为。据观察,支柱的劣化/屈服从表皮/侧面开始,随着时间的推移向支柱核心的纵深延伸,最终形成沙漏状。此外,还观察到支柱的 FOS 随时间推移而减小。
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引用次数: 0
Higher-order heat conduction model in a rotating micropolar thermoelastic medium with moving heat source and electromagnetic field 带有移动热源和电磁场的旋转微极热弹性介质中的高阶热传导模型
IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-12 DOI: 10.1007/s11043-024-09694-4
Sourov Roy, Abhijit Lahiri

This article investigates the influence of an electromagnetic field, angular velocity, and internal heat sources on two-dimensional thermoelasticity in a micropolar thermoelastic medium using a generalized model of higher-order (multi-phase-lag) heat conduction. The governing coupled partial differential equations are transformed through the normal mode analysis method. The eigenvalue approach is then applied to determine analytically the displacement components, stress components, couple stresses, and temperature distributions from the vector-matrix differential equation. The study’s findings are validated through boundary conditions, and graphical representations highlight the influence of angular velocity, magnetic field, and heat sources in this multi-phase-lag model. The graphical comparison of different thermoelastic models is presented, and the inclusion of tabular data enhances clarity, facilitating a comparative analysis of field variables.

本文利用一个广义的高阶(多相滞后)热传导模型,研究了电磁场、角速度和内部热源对微波热弹性介质中二维热弹性的影响。通过常模分析方法对支配耦合偏微分方程进行转换。然后应用特征值方法从矢量矩阵微分方程中分析确定位移分量、应力分量、耦合应力和温度分布。研究结果通过边界条件得到了验证,图形表示法突出了角速度、磁场和热源在这个多相滞后模型中的影响。不同热弹性模型的图形比较得到了展示,表格数据的加入提高了清晰度,便于对场变量进行比较分析。
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引用次数: 0
Photothermoelastic response due to Hall current and gravity effects in a hyperbolic two-temperature semiconducting medium with voids under a moving thermal load 移动热负荷下带有空隙的双曲双温半导体介质中霍尔电流和重力效应引起的光热弹性响应
IF 2.5 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-08 DOI: 10.1007/s11043-024-09689-1
Mohit Kumar, Shilpa Chaudhary, Sandeep Singh Sheoran

Photothermal transport process and voids in solids are important phenomena in a variety of engineering approaches and scientific disciplines. For this purpose, the photothermal theory is being utilized to study the coupling between elastic waves and plasma waves in a semiconducting medium with voids. The basic governing equations for photothermal waves are derived in the framework of hyperbolic two-temperature theory and Green–Lindsay model. Normal mode analysis method is used to obtain the physical field distributions under investigation. A moving thermal load is applied at the outer free surface of the medium to obtain the complete solution. Expressions are calculated numerically for silicon (Si) material and presented to observe the variations of the field quantities. The effects of various key parameters on the physical fields are also shown graphically. Special cases that are consistent with the earlier findings have been obtained. Although, numerous studies do exist on the deformation analysis in a photothermoelastic medium under different thermoelasticity theories. However, no research emphasizing thermodynamical analysis of the photothermal transport process in a hyperbolic two-temperature semiconducting medium with voids under the influence of gravity and Hall current has been carried out. This provides us a motivation to study the current research. Chemical engineering, geophysics, earthquake engineering, soil dynamics, high-energy particle physics, nuclear fusion, aeronautic biomechanics, bone mechanics, and petroleum industry are the major application areas of the photothermolelasticity theory.

光热传输过程和固体中的空隙是各种工程方法和科学学科中的重要现象。为此,我们利用光热理论来研究带有空隙的半导体介质中弹性波和等离子体波之间的耦合。在双曲双温理论和格林-林赛模型的框架下,推导出了光热波的基本控制方程。采用法向模分析方法来获得所研究的物理场分布。在介质的外自由表面施加移动热负荷,以获得完整的解决方案。对硅(Si)材料进行了数值计算并给出了表达式,以观察场量的变化。各种关键参数对物理场的影响也以图形显示。获得了与早期研究结果一致的特殊情况。尽管在不同的热弹性理论下对光热弹介质的变形分析进行了大量研究。然而,还没有研究强调在重力和霍尔电流的影响下,双曲双温半导体介质中空隙的光热传输过程的热力学分析。这为我们当前的研究提供了动力。化学工程、地球物理学、地震工程、土壤动力学、高能粒子物理学、核聚变、航空生物力学、骨力学和石油工业是光热弹性理论的主要应用领域。
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引用次数: 0
Effects of dynamic loading and temperature on NEPE propellant: damage and ignition analysis 动态加载和温度对 NEPE 推进剂的影响:损伤和点火分析
IF 2.5 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-04-02 DOI: 10.1007/s11043-024-09684-6
Zongtao Guo, Jinsheng Xu, Xiong Chen, Tingyu Wang, Jiaming Liu, Hao Zhang, Yulin Chen, Qixuan Song

We investigate herein the thermo-mechanical behavior of nitrate ester plasticized polyether (NEPE) propellants under dynamic, nonshock loading scenarios, such as impacts and drops, which are vital for assessing the safety of solid rocket motors. Using a split Hopkinson pressure bar (SHPB) apparatus, we performed dynamic loading tests on NEPE propellant samples at high strain rates (4000, 5100, and 6000 s−1) and various temperatures (228, 298, and 318 K). High-speed cameras captured the deformation, fracture, ignition, and combustion stages under these conditions. Results indicate that both the mechanical properties and ignition behavior of the propellant are significantly affected by strain rate and temperature. The propellant demonstrated nonlinear elastic deformation, with both ultimate stress and strain increasing with strain rate and decreasing with temperature. During dynamic loading, samples underwent stages of uniform and nonuniform deformation, fragmentation, and for some, ignition, which was more prompt and intense at higher strain rates and temperatures. High-speed footage, along with optical and scanning electron microscopy, revealed friction among ammonium perchlorate particles as the primary ignition catalyst, presenting as shear flow on a macroscopic level. This investigation underscores the complex interplay between strain rate, temperature, and mechanical integrity in the safety and performance of high-energy propellants.

我们在本文中研究了硝酸酯增塑聚醚(NEPE)推进剂在冲击和跌落等动态非冲击加载情况下的热机械行为,这对评估固体火箭发动机的安全性至关重要。我们使用分体式霍普金森压力棒(SHPB)装置,在高应变率(4000、5100 和 6000 s-1)和不同温度(228、298 和 318 K)下对 NEPE 推进剂样品进行了动态加载试验。高速摄像机捕捉了这些条件下的变形、断裂、点火和燃烧阶段。结果表明,推进剂的机械性能和点火行为都受到应变速率和温度的显著影响。推进剂表现出非线性弹性变形,极限应力和应变均随应变速率增加而增加,随温度降低而降低。在动态加载过程中,样品经历了均匀和不均匀变形、碎裂等阶段,部分样品还发生了点火。高速录像以及光学和扫描电子显微镜显示,高氯酸铵颗粒之间的摩擦是主要的点火催化剂,在宏观上表现为剪切流。这项研究强调了应变率、温度和机械完整性之间在高能推进剂安全和性能方面的复杂相互作用。
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引用次数: 0
Modeling the thermal behavior of functionally graded media with a spherical gap: rectified sine wave heating via fourth-order Moore–Gibson–Thompson model 带有球形间隙的功能分级介质热行为建模:通过四阶摩尔-吉布森-汤普森模型进行正弦波整流加热
IF 2.1 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2024-03-28 DOI: 10.1007/s11043-024-09688-2
Ahmed E. Abouelregal, Marin Marin, Hind A. Alharbi, Khaled J. A. Alrouili

The main objective of this work is to introduce a new thermal conductivity model that can be utilized to solve the infinite thermal diffusion problem in the Green and Naghdi type III model. This proposed model incorporates two key concepts: the fourth-order Moore–Gibson–Thompson (MGT) concept and thermal relaxation. By incorporating higher-order terms, the fourth-order MGT model provides a more accurate representation of the thermal behavior of the material. The thermal behavior of a functionally graded (FG) infinite medium containing a spherical gap is then studied using this model. A rectified sine wave heating system is applied to the traction-free gap surface. Power functions are utilized to model the uniform radial variation of the physical properties of the FG medium. The physical variables under investigation were meticulously examined, considering the impacts of heterogeneity, relaxation duration, and thermal frequency. These variables were estimated numerically using a suitable technique for Laplace transformations. Through this work, the expected outcomes may be able to make a significant contribution to the field of thermoelastic analysis in advanced and FG materials, as well as to engineering applications.

摘要 本文的主要目的是介绍一种新的导热模型,该模型可用于解决格林和纳格迪 III 型模型中的无限热扩散问题。该模型包含两个关键概念:四阶摩尔-吉布森-汤普森(MGT)概念和热松弛。通过纳入高阶项,四阶 MGT 模型能更准确地表示材料的热行为。然后,利用该模型研究了含有球形间隙的功能分级(FG)无限介质的热行为。无牵引间隙表面采用整流正弦波加热系统。利用幂函数来模拟 FG 介质物理特性的均匀径向变化。考虑到异质性、松弛持续时间和热频率的影响,对所研究的物理变量进行了细致的检查。使用拉普拉斯变换的适当技术对这些变量进行了数值估算。通过这项工作,预期成果可能会对先进材料和 FG 材料的热弹性分析领域以及工程应用做出重大贡献。
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引用次数: 0
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Mechanics of Time-Dependent Materials
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