Hamiltonian system for the inhomogeneous plane elasticity of dodecagonal quasicrystal plates and its analytical solutions

A Hamiltonian system is derived for the plane elasticity problem of two-dimensional dodecagonal quasicrystals by introducing the simple state function. By using symplectic elasticity approach, the analytic solutions of the phonon and phason displacements are obtained further for the quasicrystal plates. In addition, the effectiveness of the approach is verified by comparison with the data of the finite integral transformation method.

E-Cervix imaging displaying cervical elasticity characteristics of healthy adult nulliparous women at different age groups and different menstrual cycle stages

Objective To observe the cervical elasticity of healthy adult nulliparous women at different age groups and different stages of menstrual cycle with E-Cervix imaging technology.Methods A total of 218 healthy adult nulliparous women who underwent transvaginal ultrasound examination for routine physical examination were retrospectively enrolled,including 103 in follicular phase,78 in ovulation phase and 37 in luteal phase.Cervical canal length(CL)and E-Cervix elasticity parameters were compared among different age groups and different stages of menstrual cycle,including elasticity contrast index(ECI),hardness ratio(HR),cervical internal and external orifice strain values(IOS and EOS)and IOS/EOS ratio.Results No significant difference of CL nor cervical elasticity parameters was detected among healthy adult nulliparous women at different age groups(all P>0.05).There were significant differences of ECI,HR and IOS among different menstrual cycle stages(all P<0.05),among which women in follicular phase had higher ECI and IOS but lower HR than those in luteal phase(all P<0.05).Conclusion No significant difference of cervical elasticity existed among healthy adult nulliparous women at different age groups.Meanwhile,cervical elasticity of healthy adult nulliparous women changed during menstrual cycle,in follicular phase had higher ECI and IOS but lower HR than in luteal phase.

Monitoring the change in horizontal stress with multi-wave time-lapse seismic response based on nonlinear elasticity theory

Monitoring the change in horizontal stress from the geophysical data is a tough challenge, and it has a crucial impact on broad practical scenarios which involve reservoir exploration and development, carbon dioxide (CO_(2)) injection and storage, shallow surface prospecting and deep-earth structure description. The change in in-situ stress induced by hydrocarbon production and localized tectonic movements causes the changes in rock mechanic properties (e.g. wave velocities, density and anisotropy) and further causes the changes in seismic amplitudes, phases and travel times. In this study, the nonlinear elasticity theory that regards the rock skeleton (solid phase) and pore fluid as an effective whole is used to characterize the effect of horizontal principal stress on rock overall elastic properties and the stress-dependent anisotropy parameters are therefore formulated. Then the approximate P-wave, SV-wave and SH-wave angle-dependent reflection coefficient equations for the horizontal-stress-induced anisotropic media are proposed. It is shown that, on the different reflectors, the stress-induced relative changes in reflectivities (i.e., relative difference) of elastic parameters (i.e., P- and S-wave velocities and density) are much less than the changes in contrasts of anisotropy parameters. Therefore, the effects of stress change on the reflectivities of three elastic parameters are reasonably neglected to further propose an AVO inversion approach incorporating P-, SH- and SV-wave information to estimate the change in horizontal principal stress from the corresponding time-lapse seismic data. Compared with the existing methods, our method eliminates the need for man-made rock-physical or fitting parameters, providing more stable predictive power. 1D test illustrates that the estimated result from time-lapse P-wave reflection data shows the most reasonable agreement with the real model, while the estimated result from SH-wave reflection data shows the largest bias. 2D test illustrates the feasibility of the proposed inversion method for estimating the change in horizontal stress from P-wave time-lapse seismic data.

Ni-P-SBR composite-electroless-plating enables Si anode with high conductivity and elasticity for high performance Li-ion batteries application

Silica-based anode is widely employed for high energy density Li-ion batteries owing to their high theoretical specific capacity(4200 m A h g-1).However,it is always accompanied by a huge volume expansion(300%)and shrinks during the lithiation/delithiation process,further leading to low cycle stability.Efforts to mitigate the adverse effects caused by volume expansion such as robust binder matrix,Coreshell structure,etc.,inevitably affect the electronic conductivity within the electrode.Herein,a high conductivity and elasticity Si anode(Ni-P-SBR(styrene-butadiene rubber)@Si)was designed and fabricated via the Ni-P-SBR composite-electroless-plating process.In this design,the Si particles are surrounded by SBR polymer and Ni particles,where the SBR can adapt to the volume change and Ni particles can provide the electrode with high electronic conductivity.Therefore,the Ni-P-SBR@Si delivers a high initial capacity of 3470 m A h g-1and presents capacity retention of 49.4%within 200 cycles at 600 m A g-1.Additionally,a high capacity of 1153 m A h g-1can be achieved at 2000 m A g-1and can be cycled stably under bending conditions.This strategy provides feasible ideas to solve the key issues that limit the practical application of Si anodes.

Data envelopment analysis for scale elasticity measurement in the stochastic case:with an application to Indian banking

In the nonparametric data envelopment analysis literature,scale elasticity is evaluated in two alternative ways:using either the technical efficiency model or the cost efficiency model.This evaluation becomes problematic in several situations,for example(a)when input proportions change in the long run,(b)when inputs are heterogeneous,and(c)when firms face ex-ante price uncertainty in making their production decisions.To address these situations,a scale elasticity evaluation was performed using a value-based cost efficiency model.However,this alternative value-based scale elasticity evaluation is sensitive to the uncertainty and variability underlying input and output data.Therefore,in this study,we introduce a stochastic cost-efficiency model based on chance-constrained programming to develop a value-based measure of the scale elasticity of firms facing data uncertainty.An illustrative empirical application to the Indian banking industry comprising 71 banks for eight years(1998–2005)was made to compare inferences about their efficiency and scale properties.The key findings are as follows:First,both the deterministic model and our proposed stochastic model yield distinctly different results concerning the efficiency and scale elasticity scores at various tolerance levels of chance constraints.However,both models yield the same results at a tolerance level of 0.5,implying that the deterministic model is a special case of the stochastic model in that it reveals the same efficiency and returns to scale characterizations of banks.Second,the stochastic model generates higher efficiency scores for inefficient banks than its deterministic counterpart.Third,public banks exhibit higher efficiency than private and foreign banks.Finally,public and old private banks mostly exhibit either decreasing or constant returns to scale,whereas foreign and new private banks experience either increasing or decreasing returns to scale.Although the application of our proposed stochastic model is illustrative,it can be potentially applied to all firms in the information and distribution-intensive industry with high fixed costs,which have ample potential for reaping scale and scope benefits.

Bending and wave propagation analysis of axially functionally graded beams based on a reformulated strain gradient elasticity theory

A new size-dependent axially functionally graded(AFG) micro-beam model is established with the application of a reformulated strain gradient elasticity theory(RSGET). The new micro-beam model incorporates the strain gradient, velocity gradient,and couple stress effects, and accounts for the material variation along the axial direction of the two-component functionally graded beam. The governing equations and complete boundary conditions of the AFG beam are derived based on Hamilton's principle. The correctness of the current model is verified by comparing the static behavior results of the current model and the finite element model(FEM) at the micro-scale. The influence of material inhomogeneity and size effect on the static and dynamic responses of the AFG beam is studied. The numerical results show that the static and vibration responses predicted by the newly developed model are different from those based on the classical model at the micro-scale. The new model can be applied not only in the optimization of micro acoustic wave devices but also in the design of AFG micro-sensors and micro-actuators.

Real-time Shear Wave Elastography Assessment of Muscle Elasticity in Patients with Renal Failure

Objective:To explore the value of real-time elastic shear wave in evaluating muscle elasticity in patients with renal failure.Methods:50 patients with chronic renal failure from January 2019 to December 2022 were randomly selected as the experimental group,and 50 healthy patients aged 21-61 during the same period were selected as the control group,and the basic information of the patients,including age,gender,body mass index,etc.,were collected.Besides,the Young's modulus of the two groups of patients were observed and analyzed.Results:The Young's modulus values of left and right gastrocnemius muscles in the experimental group were significantly lower than those in the control group(P<0.05),and there was no statistical difference between the left and right sides of the experimental group and the control group(P>0.05).Conclusion:Real-time shear wave elastography provides a non-invasive,real-time and effective tool for the assessment of muscle elasticity in patients with renal failure.Through further research and optimization,real-time shear wave elastography will play a greater role in the prevention and treatment of patients with renal failure,improving the quality of life and prognosis of patients.

黏弹性聚合物驱渗流机理研究进展

聚合物驱已成为国内外化学驱中提高原油采收率主要方法之一,其在大庆油田的60年开发稳产中起到重要作用,在水驱基础上提高原油采收率达到约13%.聚合物驱主要机理为改善流度比,提高注入液的波及体积,从而提高驱油效率.近几年,聚合物溶液黏弹性能够进一步扩大其在多孔介质中的微观波及面积从而提高微观驱油效率的作用机理也逐渐被人们所认识.文章从聚合物溶液黏弹特性、聚合物驱微观可视化实验、岩心驱替实验及驱油机理理论研究4个方面进行了综合分析,对比论述了国内外关于黏弹性聚合物溶液渗流机理的研究现状、实验手段及方法,给出了聚合物溶液的黏弹性产生的法向应力能够进一步对水驱后残余油产生“拉”“拽”作用,从而使其比纯黏性流体进一步提高在多孔介质内的微观波及效率及驱油效率,明确了弹性湍流是产生表观增稠的本质,对提高驱油效率产生一定的正向影响.最后针对黏弹性聚合物驱渗流机理研究面临的问题及发展方向进行总结,弹性湍流产生的条件、黏弹性对不同尺寸孔隙内不同类型原油采收率的贡献及弹性与油藏润湿性的协同影响等机理成为未来研究的挑战与方向.论文的归纳能够为黏弹性聚合物溶液机理深入研究及矿场设计优选聚合物提供重要的参考.

数据要素、新型基础设施与产业结构调整路径

数据要素和新型基础设施在各个产业发挥日益重要的作用。不同产业对数据要素和新型基础设施的应用方式和利用效率存在差异,影响产业结构调整路径。文章构建包含两个生产部门的动态一般均衡模型,用于代表不同产业或同一产业内的不同企业。每个部门将数据作为新生产要素、将新型基础设施作为数据扩展型技术,与传统生产要素结合形成新的生产函数。不同部门的数据产出弹性、数据和传统要素的替代弹性存在差异,这是影响产业结构调整路径的重要因素。通过理论模型推导和数值模拟研究,文章发现:在不同产业之间,由于产品替代弹性较低,提高数据要素和新型基础设施的数量会导致数据产出弹性较高、数据和传统要素的替代弹性较高的产业产出提高,但其产品价格和名义产出降低,促使资本和劳动力流向数据利用效率低的产业。这一过程将改变资本和劳动力的价格,影响劳动收入份额。在同一产业内部,由于不同企业间的产品替代弹性较高,数据要素和新型基础设施导致资本和劳动力流向数据利用效率高的企业,优化生产要素配置,推动整个产业的数字化转型。新型基础设施建设对产业结构调整的推动作用受到数据要素的调节,且最终的影响方向和路径与数据要素一致,可以通过调整需求结构引导更具针对性和长效的产业结构调整。最后,文章提出数据要素、新型基础设施建设的相关政策建议,并对产业结构调整可能导致的问题提出对策。

明胶/氧化纳米纤维素高弹性模量高孔隙皮肤支架的3D打印工艺

背景:在采用主动修复治疗手段应对皮肤创伤时,需要使用组织工程技术生成新的组织来代替坏死组织,皮肤支架在创伤修复领域具有良好的应用前景。皮肤支架需要呈现具有一定力学强度的三维多孔结构,以满足细胞增殖分裂的需求,而目前使用的明胶基生物材料力学强度弱,无法达到皮肤支架的使用要求。目的:针对明胶/氧化纳米纤维素复合材料制备组织工程皮肤支架时使用的3D打印工艺进行研究,重点研究不同工艺参数下制备皮肤支架的孔隙率与其力学强度之间的关系。方法:从葎草中提取10%浓度的氧化纳米纤维素晶须,再与5%的明胶复合得到明胶/氧化纳米纤维素复合材料,检测明胶与明胶/氧化纳米纤维素复合材料的弹性模量。以明胶/氧化纳米纤维素复合材料为基材,采用3D打印挤压成型方法制备皮肤支架,通过对材料进行力学性能测试和流变特性测试确定挤压成型工艺参数(填充间隙1.5-2.5 mm,0.1 mm均布;气压160-200 kPa),并以此制备具有三维多孔结构的皮肤支架。对皮肤支架进行了抗压性能的测试并与有限元分析结果相对比,论证了支架打印时的填充间隙与支架孔隙率及力学强度之间的关系。结果与结论:①通过实验得出,加入10%浓度的氧化纳米纤维素晶须使5%明胶的弹性模量度提升了8.84倍;在气压160 kPa下挤出成型可以得到1 mm直径的丝状凝胶,此时填充间隙从1.5 mm增大到2.5 mm会使支架的理论孔隙率从33%上升到60%,但抗压强度从230000 Pa降低到95000 Pa;②结果显示,使用2 mm填充间隙制备得到了理论孔隙率为50%、弹性模量160000 Pa的皮肤支架,该支架具有清晰的三维多孔结构。

准东地区云质岩储层叠前反演及脆性预测

脆性是一种评价致密储层可压裂性的重要指标,对油气勘探与开发有着重要的意义。准东地区勘探程度低、探井少,二叠系中下部云质岩致密储层的精细描述和脆性的准确预测均有着很大的难度。为此,根据岩石物理实验结果,利用叠前地震角度域数据体,开展储层叠前反演及脆性预测。通过AVO反演,获取P(截距)+G(梯度)和P×G属性;通过Y(杨氏模量,E)P(泊松比,σ)D(密度,ρ)和L(拉梅常数,λ)M(μ)R(ρ)反演,获取弹性参数的变化率(反射系数);通过测井约束反演,获取弹性参数的实际值,并用多种表征公式计算脆性,分析其物理含义及应用效果。研究结果表明:①研究区横波速度与纵波速度有较好的拟合关系,杨氏模量、泊松比和密度对泥岩、非泥岩区分度明显;②云质岩具有高速特征,研究区储层呈双“甜点”结构;③用三个小角度数据体直接反演弹性参数反射系数,YPD反演方法相较LMR的储层识别效果更好、分辨率更高,密度反射系数数据体可见比较明显的扇体及河道冲积特征;④脆性表征结果与弹性参数特征有一定的区别,脆性表征的云质岩有利区呈条带状分布,而弹性参数预测的云质岩有利区基本呈连续、成片分布;⑤ρE/σ为研究区最佳的脆性表征公式,可为类似油田云质岩储层脆性预测提供借鉴。

考虑软化和扩容的圆形巷道围岩Z-P准则弹塑性解

巷道围岩受应力作用表现出的软化、扩容行为对巷道的变形和破环有重大影响。为了研究软化、扩容特性对巷道围岩稳定性的影响,根据岩体的软化特性,建立理想的弹性软化模型,将围岩分为弹性区、塑性软化区和破裂区;基于Zienkiewicz-Pande准则和非关联流动法则,考虑围岩的软化、扩容特性,推导出含中间主应力的圆形巷道弹塑性解析解;将Z-P准则与M-C、D-P等准则进行比较,分析了软化模量、扩容等因素对巷道围岩的影响。结果表明:Z-P准则可良好地适用于发生软化、扩容的巷道;中间主应力系数为0.4时,围岩塑性区范围最小,围岩位移最小,塑性区内应力最大;软化模量越大,围岩破裂区半径越大;剪胀角越大,塑性区位移越大,破裂区半径越大;支护阻力越大,巷道塑性区范围越小,且提高支护阻力能有效控制巷道围岩的变形。

三维弹性体夹芯的夹芯板振动计算方法研究

目前夹芯结构由于其轻质、减振、隔声等优良性能,已在隔声壁板、减振结构设计等领域得到广泛的应用。夹芯板在低频振动中通常易于表现为弯曲振动模式,但夹芯板面板材料和芯材材料的性能往往差别较大,在中高频段易产生较为丰富的振动模式,因此建立一种适用于各个频段的夹芯板振动理论预报方法是十分必要的。本文发展了一种新的夹芯板振动理论计算方法,对夹芯板的芯材应用三维弹性力学理论,面板应用薄板理论。本文建立的理论方法可综合体现夹芯板弯曲变形模式和膨胀变形模式,容许夹芯板产生法向形变,可显著提高中高频夹芯板的振动预报计算精度。通过算例将本文理论方法的计算结果与其它理论计算方法和有限元计算的结果进行了对比,证明了本文理论方法的有效性和优势。

考虑用户比价行为的综合需求响应低碳优化策略

在我国“双碳”背景下,建立综合能源系统(integrated energy system,IES)已经成为实现“碳达峰”、“碳中和”目标,加快能源结构转型的重要举措,而综合需求响应(integrated demand response,IDR)是综合能源系统减少碳排放、缓解供需双侧不平衡的有效途径。然而,现有关于IDR的研究大多仅考虑其经济效益,未考虑其环境效益,忽略了需求侧用户对不同时段激励价格的比价行为以及不同用户的差异化响应特性。该文提出了基于碳排放因子的IDR碳排放折算模型,并将碳排放成本加入综合能源系统服务商(integrated energy system provider,IESP)的目标函数中;通过建立激励交叉弹性耦合矩阵对用户的比价行为进行了有效建模以提升模型的精确性;同时计及用户的差异化响应特性,通过制定差异化的激励策略以充分挖掘用户的响应潜力。所提模型被建立为一个IESP-用户双层优化模型,并将该模型转化为了一个单层的凸优化模型以实现高效地求解。最后通过仿真算例验证了模型的有效性,不仅减少了碳排放量,同时降低了IESP的响应成本并提升了用户的舒适度,实现了多方共赢。

刘易斯转折点、缴费负担转嫁与高龄农民工参加城镇职工基本养老保险趋势——理论推断与实际证据

高龄农民工特指户籍仍在农村、在本地从事非农产业或外出从业6个月及以上的50岁及以上劳动者。中国刘易斯转折点大概出现在2010—2014年。与人口结构尤其是年龄结构相对应的刘易斯转折点前后,高龄农民工参加城镇职工基本养老保险个人缴费负担和用人单位缴费负担转嫁内在地决定着高龄农民工参加城镇职工基本养老保险的比例及其变化趋势。刘易斯转折点之前高龄农民工参加城镇职工基本养老保险的比例偏低,刘易斯转折点之后高龄农民工参加城镇职工基本养老保险的比例会增加,实证检验证实了这一理论推断。为了提高高龄农民工未来的养老保障程度,提出以帕累托改进原则推进高龄农民工养老保障制度改革,督促高龄农民工与用人单位签订劳动合同,做好高龄农民工基本养老保险关系转移接续,实施多样化的高龄农民工养老保障方式。

单双向循环荷载作用下砂砾料动模量和阻尼比试验研究

通过大型振动三轴试验,研究了单双向循环荷载作用下砂砾料动弹性模量和阻尼比的变化规律,分析围压和径向循环动应力对砂砾料动力参数的影响。研究结果表明:在双向振动三轴试验中,砂砾料的轴向动应变受径向动应力的影响较小,动应变主要与施加的轴向动应力大小有关;单双向振动下砂砾料的动弹性模量均随着动应变的增大而逐渐降低,双向振动时砂砾料动弹性模量随动应变的衰减速率基本不变,在相同动应变下双向振动的动模量均低于单向振动;砂砾料在双向振动时的阻尼比大于单向振动,双向振动时消耗的动应变能更大。通过对两种试验条件下的最大动弹性模量、动模量比进行分析,建立了表述单双向试验条件下最大动弹性模量的换算关系式和双向振动试验中动模量比和动应变的修正模型。

双弹性和单弹性锭子振动性能研究

为准确掌握双弹性锭子的振动性能,与传统的单弹性锭子进行试验对比研究。制备了3组仅上轴承支撑刚度不同的双弹性和单弹性锭子;通过试验对比,分析和总结了铝套管、光杆、夹纱器、锭带力等对锭子不同部位振幅的影响变化规律。结果表明:在高速时,铝套管或光杆的双弹性锭子较对应的单弹性锭子不同部位的振幅略有增加;但带夹纱器的双弹性铝套管锭子的锭端振幅明显小于对应的单弹性锭子的振幅;锭带力对不同类型锭子的锭端振幅无显著影响。认为:在高速运转时,带夹纱器的双弹性锭子的振动性能优于对应的单弹性锭子。

高温后冷却方式对玄武岩纤维混凝土力学性能的影响

高温处理后混凝土力学性能是工程建设中评价混凝土结构安全性能的重要指标之一。对不同玄武岩纤维(BF)掺量混凝土的力学性能进行了测试,将最优掺量的玄武岩纤维混凝土(BFRC)与普通混凝土(OC)进行高温处理(200、400、600、800℃),研究不同冷却方式(自然冷却和喷水冷却)对高温后BFRC性能劣化的影响,分析BFRC在不同温度和冷却方式下的力学性能变化规律。结果表明,当BF掺量为0.05%(体积分数)时,BFRC抗压强度、劈裂抗拉强度达到最大值,分别为50.2、3.5 MPa,较OC分别提高了14.87%、34.62%。BF的掺入能够有效增加混凝土的韧性以及抵抗开裂变形的能力。随着温度增加,BFRC试件的弹性模量减小但始终大于OC试件。同一冷却方式下OC的峰值应变均大于BFRC,不同冷却方式下的延性指数较常温均有所提高。

复合表面织构对锭子振动性能的影响研究

为提高锭子振动性能,在锭子的高速旋转表面用激光微加工出具有减阻作用的仿贝壳状、仿鲨鱼皮状、仿黄缘真龙虱状复合表面织构,对比分析了相同条件下双弹性锭子和单弹性锭子增加复合表面织构前后的振动性能。结果表明:增加仿鲨鱼皮状复合表面织构后,双弹性和单弹性锭子的振动性能略有提升;增加仿贝壳状和中尺寸仿黄缘真龙虱状复合表面织构后,双弹性锭子振幅较小且不受临界转速影响,其可在任意转速下工作;而增加大尺寸和小尺寸仿黄缘真龙虱状复合表面织构的双弹性和单弹性锭子在高速时振动性能明显提升。

基于TCGA数据库的头颈鳞癌预后关键基因分析

目的利用现有的TCGA数据库中头颈鳞癌基因表达谱数据和生存数据,探索头颈鳞癌预后关键基因。方法基于机器学习方法并在统计学意义下进行基因差异表达分析。分别利用LASSO回归及弹性网络回归,初步筛选出与生存相关的基因,并基于GEPIA数据库和Wilcox test检验对筛选结果进行双重检验。利用UALCAN数据库和COX比例风险回归模型,对通过检验的基因结果进行生存分析,探索预后关键基因与生存率的关系。结果共获得1881个差异基因,并且弹性网络回归筛选的18个基因通过了双重检验(P<0.05)。6个基因在UALCAN数据库和COX比例风险回归模型中均与头颈鳞癌生存率相关,其中CDKN2A、DMRTA2与患者生存率正相关,PLAU、STC2、SYT1、TIMP4则与患者生存率负相关。结论CDKN2A、DMRTA2、PLAU、STC2、SYT1、TIMP4这6个基因为头颈鳞癌预后关键基因。