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Experimental investigation of the creep behavior of the bond interface in steel plate reinforced tunnel lining 钢板加固隧道衬砌粘结界面蠕变特性试验研究
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-10-15 DOI: 10.1007/s11043-025-09831-7
Keping Zhang, Fenglei Han, Zihan Zhou, Yuanming Lai, Xiaohui Zhang

One important strategy for increasing the strength and load-bearing capability of damaged tunnel linings is to reinforce them with steel plates. An important factor in determining the long-term performance of the restored tunnel is the bond interface’s longevity. This study focuses on the bond interface creep behavior in steel plate-reinforced shield tunnels through experimental investigation. Accelerated testing was used to investigate the long-term creep response of the bond contact using the creep equivalence and Boltzmann superposition principles. The key takeaways are as follows: The progression of creep at the bond interface – from the moment of initial loading to when it reaches a stable state – can be broadly broken down into four phases: an instantaneous deformation phase, a stage of decay creep, a period of steady–stable creep, and accelerated creep phase. The bond contact of the shear specimen experiences accelerated creep after 186 hours when it is subjected to 90% of its maximum stress, while the bond interface of the tensile specimen reaches this stage in just 96 hours. As the stress level rises, so does the quantity of creep at the bond interface. As the distance from the loading end increases for the shear specimens, the amount of creep at the bond contact progressively diminishes. A notable 1000-fold increase in creep time is seen when Time-Stress Superposition Principle (TSSP) is used to speed up the characterization of experimental creep curves for the bond contact.

提高受损隧道衬砌强度和承载能力的一个重要策略是对其进行钢板加固。决定修复隧道长期性能的一个重要因素是粘接界面的寿命。通过试验研究,对钢板加筋盾构隧道的粘结界面蠕变行为进行了研究。利用蠕变等效原理和玻尔兹曼叠加原理,采用加速试验研究了键接触的长期蠕变响应。关键结论如下:粘结界面的蠕变过程——从初始加载时刻到达到稳定状态——可以大致分为四个阶段:瞬时变形阶段、衰减蠕变阶段、稳态蠕变阶段和加速蠕变阶段。剪切试样的粘结界面在承受最大应力的90%时,在186小时后发生加速蠕变,而拉伸试样的粘结界面在96小时内达到这一阶段。随着应力水平的升高,黏结界面处的蠕变量也随之增加。随着剪切试件与加载端距离的增加,黏结接触处的蠕变量逐渐减小。当使用时间-应力叠加原理(TSSP)来加速表征键接触的实验蠕变曲线时,可以看到蠕变时间显著增加了1000倍。
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引用次数: 0
Analysis of creep deformation in functionally graded hemispherical shells subjected to external pressure 外压作用下功能梯度半球形壳蠕变分析
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-10-09 DOI: 10.1007/s11043-025-09830-8
Richa Sharma, Anshu Nagar

Creep stresses are evaluated in a hemispherical shell made of functionally graded transversely isotropic materials under uniform external pressure. The concept of transition theory is applied to evaluate the creep stresses in the shell under external pressure. The strength and compatibility of the hemispherical shell composed of magnesium, zinc, and beryl are compared based on creep stresses. This physical problem is regulated by a non-linear differential equation obtained by substituting the derived relations in the equilibrium equation. For estimating the creep stresses in the shell, the transition function (R) is considered as the difference of radial stress (T_{rr}) and circumferential stress (T_{theta theta } ). Analytical method is applied to solve the equations by taking the critical point (Prightarrow -1) of the governing differential equation into consideration. This study examines the hemispherical shell composed of Functionally graded transversely isotropic material, which is more robust and biocompatible than homogenous transversely isotropic material. Based on all the numerical calculations and graphs it is concluded that the circumferential and radial creep stresses are minimum for a hemispherical shell composed of functionally graded transversely isotropic material magnesium in comparison to zinc and beryl, it implies that the shell composed of (FGM) magnesium is experiencing the most stable or optimal state of deformation under the conditions of external pressure. Therefore, the hemispherical shell of functionally graded transversely isotropic material magnesium might be useful in practical applications like pressure vessels, tanks, or any spherical shell structures exposed to high pressure over long durations.

在均匀的外压作用下,计算了由功能梯度的横向各向同性材料制成的半球形壳的蠕变应力。应用过渡理论的概念,计算了壳体在外力作用下的蠕变应力。在蠕变应力的基础上,比较了镁、锌和绿柱石组成的半球形壳的强度和相容性。这个物理问题是由一个非线性微分方程来调节的,这个非线性微分方程是将导出的关系代入平衡方程中得到的。对于壳内蠕变应力的估算,将过渡函数(R)视为径向应力(T_{rr})与周向应力(T_{theta theta } )之差。考虑控制微分方程的临界点(Prightarrow -1),采用解析法求解方程。本研究考察了由功能梯度的横向各向同性材料组成的半球形外壳,它比均匀的横向各向同性材料更坚固,生物相容性更好。通过数值计算和图形分析可知,与锌和绿柱石相比,由功能梯度横向各向同性材料镁构成的半球形壳的周向和径向蠕变应力最小,这表明在外加压力条件下,由功能梯度横向各向同性材料镁构成的半球形壳处于最稳定或最优的变形状态。因此,功能梯度横向各向同性材料镁的半球形壳可能在实际应用中有用,如压力容器,储罐或任何长时间暴露于高压的球形壳结构。
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引用次数: 0
Modified cumulative damage model of composite propellants based on thermal aging mechanisms 基于热老化机理的复合推进剂累积损伤修正模型
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-09-30 DOI: 10.1007/s11043-025-09828-2
Xu Zhang, Li Yang, Guanglong Zhang, Jiangtao Wang, Xiangyang Liu, Ningfei Wang

This study proposes a modified cumulative damage model for GAP-based composite solid propellants, considering thermal aging effects. Accelerated thermal aging experiments were conducted at 333.15 and 343.15 K to analyse the variations in mechanical properties, including elastic modulus and maximum elongation. The results revealed an approximately 15% increase in elastic modulus and an approximately 25% decrease in maximum elongation during 333.15 K thermal aging. Based on the Arrhenius equation, a predictive model for mechanical parameter degradation was established, and the evolution of cumulative damage parameters was simplified using three assumptions. The modified model, accounting for aging effects on parameter (beta ), demonstrated good agreement with direct computational results. Numerical simulations indicated that aging substantially amplifies cumulative damage in solid rocket motors under thermal cycling loads. This research provides a theoretical framework for assessing the structural integrity of solid rocket motor during long-term storage.

本文提出了一种考虑热老化效应的改进的gap基复合固体推进剂累积损伤模型。在333.15 K和343.15 K下进行加速热老化实验,分析其力学性能的变化,包括弹性模量和最大伸长率。结果显示大约有15% increase in elastic modulus and an approximately 25% decrease in maximum elongation during 333.15 K thermal aging. Based on the Arrhenius equation, a predictive model for mechanical parameter degradation was established, and the evolution of cumulative damage parameters was simplified using three assumptions. The modified model, accounting for aging effects on parameter (beta ), demonstrated good agreement with direct computational results. Numerical simulations indicated that aging substantially amplifies cumulative damage in solid rocket motors under thermal cycling loads. This research provides a theoretical framework for assessing the structural integrity of solid rocket motor during long-term storage.
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引用次数: 0
Sustainable self-compacting mortars incorporating calcined bentonite and recycled glass powder: time-dependent mechanical and durability performance assessment 含有煅烧膨润土和再生玻璃粉的可持续自密实砂浆:随时间变化的机械和耐久性性能评估
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-09-30 DOI: 10.1007/s11043-025-09829-1
Moulay Driss Berkani, Benchaa Benabed, Omar Taleb, Younes Ouldkhaoua, Zine el abidine Laidani, Mohamed Sahraoui, Rajab Abousnina

In response to the growing demand for sustainable construction practices, this study evaluates the potential use of calcined bentonite (CB) and recycled glass powder (GP) as supplementary cementitious materials in self-compacting mortar (SCM). The environmental objective is to reduce the reliance on Portland cement, which is a major contributor to CO2 emissions, by incorporating industrial and post-consumer waste materials. In mixtures, CB was introduced at replacement levels of 5, 10, 15, and 20%, while GP was added at levels ranging from 5 to 25% by weight in binary and ternary binders. A comprehensive assessment of the fresh properties, including mini-slump flow, V-funnel flow time, yield stress, and plastic viscosity, was conducted, alongside mechanical and durability tests such as compressive strength, water absorption, acid resistance (5% HCl) and sulfate attack (5% K2SO4). Results indicate that, CB decreases the flowability of SCM mixtures, necessitating a higher dosage of superplasticiser. However, when combined with GP, the flowability improves significantly, reducing the demand for superplasticiser. Optimal mechanical performance was observed in mixtures containing 15% CB and 0% GP, as well as 10% CB with 5% GP, which achieved compressive strength improvements of 12% and 13%, respectively, after 90 days. Moreover, the incorporation of higher GP contents (15–25%) enhanced the mortar’s resistance to hydrochloric acid and potassium sulfate solution, highlighting its contribution to long-term durability. These findings support the valorization of calcined clays and glass waste as viable alternatives for developing sustainable and cost-effective SCM, while reducing environmental impact in the construction industry.

为了响应对可持续建筑实践日益增长的需求,本研究评估了煅烧膨润土(CB)和再生玻璃粉(GP)作为自密实砂浆(SCM)补充胶凝材料的潜在用途。环境目标是通过整合工业和消费后废料,减少对波特兰水泥的依赖,波特兰水泥是二氧化碳排放的主要来源。在混合物中,以5%、10%、15%和20%的替代水平引入CB,而在二元和三元粘合剂中以5%至25%的重量添加GP。研究人员对其新鲜性能进行了综合评估,包括微坍落度流动、v型漏斗流动时间、屈服应力和塑性粘度,以及抗压强度、吸水率、耐酸性(5% HCl)和硫酸盐侵蚀(5% K2SO4)等力学和耐久性测试。结果表明,CB降低了SCM混合物的流动性,因此需要更高剂量的高效减水剂。然而,当与GP结合使用时,流动性显着提高,减少了对高效减水剂的需求。结果表明,添加15%丁腈橡胶和0%丁腈橡胶以及添加10%丁腈橡胶和5%丁腈橡胶的混合物力学性能最佳,90天后抗压强度分别提高了12%和13%。此外,高GP含量(15-25%)的掺入增强了砂浆对盐酸和硫酸钾溶液的抵抗力,突出了其对长期耐久性的贡献。这些发现支持了煅烧粘土和玻璃废料作为发展可持续和具有成本效益的SCM的可行替代品的价值,同时减少了建筑行业对环境的影响。
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引用次数: 0
Comparative evaluation of commercial and recycled rejuvenators for hot mix asphalt recycling 热混合沥青再生用商用和再生再生剂的比较评价
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-09-26 DOI: 10.1007/s11043-025-09827-3
A. Nirmal Prasad, Nikhil Saboo, Agnivesh Pani

Rejuvenators used for hot mix recycling can be classified broadly into recycled rejuvenators (RR) and commercial rejuvenators (CR). A comparative evaluation between two RR and two CR is done in this study. A series of tests on rejuvenators (Brookfield viscometer, rolling thin film oven and Fourier Transformed Infrared Radiation tests), recycled binder blends (zero shear viscosity, frequency sweep, multiple stress creep recovery) and recycled mixes (uniaxial cyclic compression test and Indirect tensile asphalt cracking test) are performed. FTIR spectra revealed that all rejuvenators comprise aliphatic and aromatic hydrocarbons, which are similar to the maltenes portion of asphalt. Test results showed that RR are thermally stable than CR and recycled binder blends with RR are softer than CR. Hence, RR have higher cracking resistance and cross-over frequency, but lower Zero Shear Viscosity and rutting resistance. Also, recycled mixes with RR showed higher irrecoverable strains than mixes with CR. On top of performing well in rutting, recycled mixes with CR also showed better or comparable fatigue performance at 40% recycled content. From the ranking analysis, it is concluded that RR outperformed CR, and weight change after RTFO test has the best correlation with the global total rank value (GTRV).

用于热混合回收的回春剂大致可分为再生回春剂(RR)和商业回春剂(CR)。本研究对两种RR和两种CR进行了比较评价。对再生剂(Brookfield粘度计、滚动薄膜烘箱和傅立叶变换红外辐射试验)、再生粘结剂共混物(零剪切粘度、频率扫描、多重应力蠕变恢复)和再生混合料(单轴循环压缩试验和间接拉伸沥青开裂试验)进行了一系列试验。FTIR光谱显示,所有恢复剂都含有脂肪烃和芳香烃,类似于沥青的maltenes部分。试验结果表明,RR比CR热稳定,与RR共混的再生胶比CR软,因此RR具有更高的抗裂性和跨越频率,但具有更低的零剪切粘度和车辙阻力。此外,含RR的再生混合料比含CR的再生混合料表现出更高的不可恢复应变。除了车辙性能良好外,含CR的再生混合料在40%的再生含量下也表现出更好或相当的疲劳性能。从排名分析可知,RR优于CR, RTFO检验后的权重变化与全局总排名值(GTRV)的相关性最好。
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引用次数: 0
Heat and mass transfer dynamics in an electrically conducting viscoelastic fluid subjected to buoyancy effects and reactive solute transport within a tapered oblique geometry under peristaltic activity 受浮力影响的导电粘弹性流体的传热传质动力学和在蠕动活动下的锥形斜几何体内的反应性溶质传输
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-09-23 DOI: 10.1007/s11043-025-09826-4
S. Ravikumar

This study presents an analytical investigation of peristaltic pumping and coupled heat–mass transfer in an incompressible, electrically conducting Jeffrey viscoelastic fluid within tapered oblique channel geometries. The model incorporates buoyancy effects, reactive solute dynamics, Hall currents with linear dependence, a uniform transverse magnetic field, porous medium resistance via the Darcy–Brinkman formulation, and radiative heat transport under the gray approximation. Chemical reactions are assumed to be first-order. The governing nonlinear coupled equations are solved in closed form under long-wavelength and low-Reynolds-number approximations, which justify steady, creeping peristaltic motion. Validation against benchmark solutions reported by Ravi Rajesh and Rajasekhara Gowd demonstrates excellent agreement across varying Hall current parameters, confirming the robustness of the analysis. Results indicate that Hall currents enhance velocity by mitigating electromagnetic resistance, whereas higher Hartmann number suppress flow owing to Lorentz forces. An increasing Darcy number reduces drag from the porous matrix, thereby strengthening fluid transport. Both thermal and solutal Grashof numbers intensify buoyancy-driven convection, while Jeffrey fluid elasticity and thermal radiation contribute significantly to pumping efficiency. The Prandtl number regulates heat balance by promoting storage at higher values but supporting convective release near boundaries at lower ranges. Concentration profiles are sensitive to Biot, Soret, and Schmidt numbers as well as chemical reaction strength, underlining boundary-layer-controlled solutal modulation. Trends in pressure rise highlight viscoelastic effects in both forward and retrograde pumping regimes, whereas parametric variations in Nusselt and Sherwood numbers delineate pathways for optimizing thermal–solutal transport. This unified formulation of electromagnetic, porous, radiative, chemical, and viscoelastic effects provides benchmark-quality insights relevant to microfluidics, biomedical pumping technologies, and high-temperature industrial transport systems.

本文对不可压缩、导电的杰弗里粘弹性流体在锥形斜通道几何结构中的蠕动泵送和耦合热质传递进行了分析研究。该模型包含浮力效应、反应溶质动力学、线性相关的霍尔电流、均匀横向磁场、通过Darcy-Brinkman公式计算的多孔介质阻力,以及灰色近似下的辐射热输运。化学反应被假定为一级反应。控制非线性耦合方程在长波长和低雷诺数近似下以封闭形式求解,证明了稳定的蠕动运动。对Ravi Rajesh和Rajasekhara Gowd报告的基准解决方案的验证表明,不同霍尔电流参数之间的一致性非常好,证实了分析的稳健性。结果表明,霍尔电流通过减小电磁阻力来提高速度,而较高的哈特曼数由于洛伦兹力而抑制流动。达西数的增加减少了多孔基质的阻力,从而加强了流体的输送。热和溶质Grashof数都加强了浮力驱动的对流,而Jeffrey流体弹性和热辐射对泵送效率有显著影响。普朗特数通过促进较高值的存储而支持较低范围边界附近的对流释放来调节热平衡。浓度分布对Biot, Soret和Schmidt数以及化学反应强度敏感,强调边界层控制的溶质调制。压力上升趋势突出了正向和逆行泵送系统中的粘弹性效应,而努塞尔数和舍伍德数的参数变化描述了优化热溶质输运的途径。电磁,多孔,辐射,化学和粘弹性效应的统一配方提供了与微流体,生物医学泵送技术和高温工业运输系统相关的基准质量见解。
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引用次数: 0
Addressing viscosity-driven singularities: accurate development of thermo-elasto-visco-plastic constitutive models 解决粘度驱动的奇点:热弹粘塑性本构模型的准确发展
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-09-22 DOI: 10.1007/s11043-025-09825-5
Morteza Sadeghifar, Rene Billardon, Denis Delagnes, Henri Champliaud, Antoine Tahan, Mohammad Jahazi

A novel analytical-mathematical formulation for the multi-physics thermo-elasto-visco-plastic (TEVP) behavior of materials with nonlinear combined hardening is proposed. New closed-form expressions for the incremental visco-plastic multiplier (IVPM) and the consistent tangent operator (CTO) were derived. Specifically, all stiffness, hardening, and viscous coefficients were treated as temperature-dependent, and their temperature derivatives were explicitly included in the analytical solution. A UMAT (User Material) subroutine was programmed and implemented to compute the IVPM, CTO, and isotropic, kinematic, and viscous stresses for TEVP modeling. Finite element (FE) models were created and compared for the Abaqus® built-in material model and the developed UMAT subroutine. The IVPM and CTO equations were successfully validated and the influence of the initial IVPM value on the accuracy of the results and the run time of simulations was examined for the first time. It was found that, in the Newton-Raphson method, the initial IVPM value must not only be nonzero to avoid singularity issues, but also be less than or equal to (10^{-8}) to ensure accurate results. In addition, the initial IVPM value did not influence computational efficiency. Ultimately, based on a comparative study of analytical solutions, UMAT-driven simulations, and standard Abaqus simulations, the developed formulation enables accurate prediction of strains, stresses, and temperatures in TEVP problems, providing a solid foundation for modeling industrial manufacturing processes such as quenching.

提出了一种新的非线性复合硬化材料多物理场热弹粘塑性(TEVP)行为的解析数学公式。导出了增量粘塑性乘子(IVPM)和一致切线算子(CTO)的新的封闭表达式。具体来说,所有的刚度、硬化和粘性系数都被视为温度相关系数,它们的温度导数被明确地包含在解析解中。编写并实现了一个UMAT(用户材料)子程序,用于计算IVPM, CTO和各向同性,运动学和粘性应力,用于TEVP建模。建立了Abaqus®内置材料模型和开发的UMAT子程序的有限元模型并进行了比较。成功验证了IVPM和CTO方程,并首次考察了初始IVPM值对模拟结果精度和运行时间的影响。研究发现,在Newton-Raphson方法中,初始IVPM值既必须非零以避免奇异性问题,又必须小于或等于(10^{-8})以保证结果准确。此外,初始IVPM值不影响计算效率。最终,基于分析解决方案、umat驱动的模拟和标准Abaqus模拟的比较研究,开发的公式能够准确预测TEVP问题中的应变、应力和温度,为淬火等工业制造过程的建模提供坚实的基础。
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引用次数: 0
Characterization of nonlinear shear creep properties of granite structural planes with different three-dimensional roughness 不同三维粗糙度花岗岩结构面非线性剪切蠕变特性表征
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-09-16 DOI: 10.1007/s11043-025-09822-8
Fengrui Zhang, Wei Yin, Lina Xian, Mingxin Liu, Haopeng Jiang

This work investigates the effect of three-dimensional joint roughness coefficient ((mathit{JRC}^{3D})) on the nonlinear shear creep properties of granite structural planes. Four natural granite structural planes with distinct surface morphologies were prepared using the Brazilian splitting method, with (mathit{JRC}^{3D}) values controlled within the typical engineering range of 5-18. A self-developed laser three-dimensional scanner was employed to capture surface morphology, enabling three-dimensional visualization and quantification of morphological parameters. Shear creep tests were then conducted to examine the effect of (mathit{JRC}^{3D}) on the creep behavior of the structural planes. The results show that with increasing (mathit{JRC}^{3D}), creep deformation, steady-state creep rate, and accelerated creep rate gradually decrease, whereas failure shear stress, creep failure time, and long-term shear strength exhibit an increasing trend. Based on these findings, a shear creep model incorporating the influence of (mathit{JRC}^{3D}) was developed. Model parameters were identified and validated, confirming the model’s reliability. The model quantitatively links (mathit{JRC}^{3D}) to creep parameters of engineering rock joints, addressing limitations of traditional models that neglect surface morphology effects. By capturing the progressive damage evolution in rock masses, the model provides a mechanistic framework for predicting time-dependent instability and mitigating the risk of abrupt collapses induced by creep accumulation. These results offer valuable guidance for the prevention, control, and evaluation of geological engineering hazards.

本文研究了三维节理粗糙度系数((mathit{JRC}^{3D}))对花岗岩结构面非线性剪切蠕变特性的影响。采用巴西劈裂法制备了4个表面形貌各异的天然花岗岩结构面,其(mathit{JRC}^{3D})值控制在5-18的典型工程范围内。采用自主研发的激光三维扫描仪对表面形貌进行捕捉,实现了形态参数的三维可视化和定量。然后进行剪切蠕变试验,考察(mathit{JRC}^{3D})对结构面蠕变行为的影响。结果表明:随着(mathit{JRC}^{3D})的增大,蠕变变形、稳态蠕变速率和加速蠕变速率逐渐减小,破坏剪应力、蠕变破坏时间和长期抗剪强度呈增大趋势;在此基础上,建立了考虑(mathit{JRC}^{3D})影响的剪切蠕变模型。对模型参数进行了辨识和验证,验证了模型的可靠性。该模型定量地将(mathit{JRC}^{3D})与工程岩石节理的蠕变参数联系起来,解决了传统模型忽略表面形貌影响的局限性。通过捕捉岩体的渐进损伤演化,该模型为预测随时间变化的不稳定性和减轻蠕变堆积引起的突然崩塌风险提供了一个机制框架。研究结果对地质工程灾害的预防、控制和评价具有重要的指导意义。
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引用次数: 0
Size effects of a single delay time parameter on thermoelastic damping in a micro-plate resonator 微板谐振器中单个延迟时间参数对热弹性阻尼的尺寸效应
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-09-15 DOI: 10.1007/s11043-025-09824-6
Amitabh Gyan Ranjan, Roushan Kumar, Rajesh Prasad

Despite being at room temperature, thermoelastic damping (TED) plays an important role in energy loss in micro-scale structures. The micro-electro-mechanical system (MEMS) resonators are designed to have low energy dissipation, which is associated with high-quality factors. In couple stress theory, considering the size effect is necessary to explain the problem when plates have micro- or nano-scale thicknesses. This research aims to theoretically obtain an expression for the TED quality factor of size-dependency micro-plate resonators by employing the modified couple stress theory (MCST) with the condition of plane stress and heat conduction for the Quintanilla model. We consider thin silicon micro-plate resonators to explore how the parameter of length scale affects TED’s quality factor. The variation of TED has been examined in terms of the parameters of length-scale, micro-plate thickness, and normalized frequency, and also looked into the impact of phase lag parameters on TED. A comparative study of the proposed model and conventional continuum theory (CCT) has been explained. The present work states that the quality factor of resonators with an infinitesimal thickness may increase by considering small parameter values of phase lags under the modified couple stress theory.

尽管是在室温下,热弹性阻尼(TED)在微尺度结构的能量损失中起着重要的作用。微电子机械系统(MEMS)谐振器的设计具有低能耗,这与高质量因素有关。在耦合应力理论中,考虑尺寸效应是解释板具有微或纳米厚度时的问题的必要条件。本研究旨在利用Quintanilla模型平面应力和热传导条件下的修正耦合应力理论(MCST),从理论上得到尺寸相关微板谐振器的TED品质因子表达式。以薄硅微板谐振器为研究对象,探讨长度尺度参数对TED质量因子的影响。从长度尺度、微板厚度、归一化频率等参数考察了TED的变化规律,并探讨了相位滞后参数对TED的影响。并对该模型与传统连续统理论(CCT)进行了比较研究。本文的研究表明,在修正的耦合应力理论下,考虑相位滞后的小参数值,可以提高具有无穷小厚度的谐振器的质量因子。
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引用次数: 0
Damage hardening creep model based on viscoelastic–plastic strain separation 基于粘弹塑性应变分离的损伤硬化蠕变模型
IF 2.3 4区 材料科学 Q2 MATERIALS SCIENCE, CHARACTERIZATION & TESTING Pub Date : 2025-09-12 DOI: 10.1007/s11043-025-09803-x
Shutian Zhao, Shuguang Zhang, Wenbo Liu, Yingbo Li, Dipeng Zhu, Wenwu Ou, Yipin Liu

Recently, with the increase in tunnel construction, mining, and other projects, it is of great significance to conduct research on rock-creep characteristics. This paper investigates the viscoelastic and viscoplastic strain characteristics of red sandstone under different stress levels by conducting cyclic loading and unloading creep tests. The study separates the viscoelastic and viscoplastic strains and establishes a damage-hardening creep constitutive model. The results show that rock creep is a dynamic process in which internal stress is continuously adjusted, and viscoelastic and viscoplastic strains continue to develop and transform into each other. As the stress level increases, the decelerated creep rate of viscoelastic strain in the rock sample increases, while the steady-state creep rate remains relatively unchanged; in contrast, both the decelerated creep rate and the steady-state creep rate of viscoplastic strain increase significantly. Under constant stress, the viscoelastic strain of the rock sample remains relatively stable over time, exhibiting characteristics of elastic stability; although viscoplastic strain continues to increase, its increment gradually decreases, reflecting the hardening characteristic in the plastic deformation process of the rock sample. To accurately describe this complex creep behavior, this paper introduces elastic damage and plastic hardening functions and constructs a nonlinear creep constitutive model based on the effective stress principle. Through the introduction of an equivalent nonlinear viscous element, the model was analytically investigated and compared with the traditional Nishihara model, thereby demonstrating its enhanced accuracy and superior performance. The model developed in this paper effectively describes this complex creep-deformation behavior at various stages, providing a theoretical basis for further understanding rock-creep behavior and its engineering applications.

近年来,随着隧道建设、矿山开采等工程的增多,对岩石蠕变特性进行研究具有重要意义。通过循环加卸载蠕变试验,研究了不同应力水平下红砂岩的粘弹性和粘塑性应变特性。将粘弹应变与粘塑性应变分离,建立损伤硬化蠕变本构模型。结果表明,岩石蠕变是一个内应力不断调整、粘弹性和粘塑性应变不断发展并相互转化的动态过程。随着应力水平的增加,岩样中粘弹性应变的减速蠕变速率增大,而稳态蠕变速率保持相对不变;而粘塑性应变的减速蠕变速率和稳态蠕变速率均显著增大。在恒定应力下,岩样的粘弹性应变随时间的推移保持相对稳定,表现出弹性稳定的特征;粘塑性应变虽然持续增大,但其增量逐渐减小,反映了岩样塑性变形过程中的硬化特征。为了准确描述这种复杂的蠕变行为,本文引入了弹性损伤函数和塑性硬化函数,建立了基于有效应力原理的非线性蠕变本构模型。通过引入等效非线性粘性单元,对该模型进行了分析研究,并与传统的Nishihara模型进行了比较,证明了该模型具有更高的精度和优越的性能。本文建立的模型有效地描述了岩石在不同阶段的复杂蠕变变形行为,为进一步认识岩石蠕变行为及其工程应用提供了理论基础。
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Mechanics of Time-Dependent Materials
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