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有向Poisson网络模型的渐近性理论 被引量:1
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作者 罗敬 秦兆伦 《中南民族大学学报(自然科学版)》 CAS 2025年第1期118-125,共8页
研究了有向Poisson网络模型极大似然估计量的渐近性理论.考虑当网络顶点的个数趋于无穷大时,推导出有向Poisson网络模型极大似然估计量线性组合的中心极限定理.此外,通过数值模拟对理论结果进行了验证,期望能够为有向加权网络模型的统... 研究了有向Poisson网络模型极大似然估计量的渐近性理论.考虑当网络顶点的个数趋于无穷大时,推导出有向Poisson网络模型极大似然估计量线性组合的中心极限定理.此外,通过数值模拟对理论结果进行了验证,期望能够为有向加权网络模型的统计推断提供坚实的理论基础. 展开更多
关键词 有向网络 poisson模型 极大似然估计 中心极限定理 渐近正态性
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约束Herglotz方程的代数结构与非保守系统的Poisson积分理论
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作者 张毅 王文静 《力学学报》 北大核心 2025年第6期1469-1479,共11页
无论完整或非完整约束系统,如果存在非保守力,则这些系统的方程一般不具有Lie代数结构,从而经典Poisson积分理论只能部分地应用于这些系统的积分问题.通过Herglotz原理可导出非保守系统的一类动力学方程,即Herglotz方程.研究Herglotz方... 无论完整或非完整约束系统,如果存在非保守力,则这些系统的方程一般不具有Lie代数结构,从而经典Poisson积分理论只能部分地应用于这些系统的积分问题.通过Herglotz原理可导出非保守系统的一类动力学方程,即Herglotz方程.研究Herglotz方程的代数结构,进而建立其Poisson积分理论,对于深入探寻非保守系统的动力学特性具有重要意义.文章研究Herglotz方程的代数结构,进而建立非保守系统的Poisson理论,包括完整和非完整情形.首先,针对完整非保守系统,建立其Herglotz方程,引入积分因子将方程化为逆变代数形式,证明其具有Lie代数结构,从而Poisson理论可全部地应用于该系统.其次,针对非完整非保守系统,建立其约束Herglotz方程,利用积分因子将方程化为部分正则的逆变代数形式,证明约束Herglotz方程具有Lie容许代数结构,进而建立非完整非保守系统的Poisson理论.若非完整非保守系统实现自由运动,则约束Herglotz方程具有Lie代数结构,Poisson理论仍可全部地应用于该系统.文中以某非线性方程系统,受均匀和各向同性瑞利耗散力作用的在粗糙水平面上作纯滚动的圆球,以及受黏性阻尼的Appell-Hamel问题为例,分析了约束Herglotz方程的代数结构并演示所述Poisson理论的应用. 展开更多
关键词 非保守系统 约束Herglotz 方程 代数结构 poisson 理论
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一种几何精确梁的Poisson积分子 被引量:1
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作者 陈潇 史东华 《动力学与控制学报》 2025年第3期9-17,共9页
在Hamilton力学的Hamel形式下,针对无穷维力学系统的模拟问题提出了一种快速的几何数值积分算法.首先,引入对偶标架算子,并借此导出约化Poisson括号,所得Hamilton方程组能够复原Hamel场方程及其相容性条件.通过离散Poisson括号结合辛Eu... 在Hamilton力学的Hamel形式下,针对无穷维力学系统的模拟问题提出了一种快速的几何数值积分算法.首先,引入对偶标架算子,并借此导出约化Poisson括号,所得Hamilton方程组能够复原Hamel场方程及其相容性条件.通过离散Poisson括号结合辛Euler格式和隐式中点格式得到Poisson积分子.其次,以几何精确梁的运动学模型为例,推导连续和离散情形下的约化Poisson括号和Hamilton方程组,获得几何精确梁的Poisson积分子.最后,通过数值仿真验证了该Poisson积分子在保持能量和动量的同时,相较于Hamel场积分子提升了计算效率. 展开更多
关键词 Hamel形式 poisson积分子 几何数值算法
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Modelling of Daily Long-Term Urban Road Traffic Flow Distribution: A Poisson Process Approach 被引量:1
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作者 Jojo D. Lartey 《Open Journal of Modelling and Simulation》 2025年第1期89-105,共17页
Road traffic flow forecasting provides critical information for the operational management of road mobility challenges, and models are used to generate the forecast. This paper uses a random process to present a novel... Road traffic flow forecasting provides critical information for the operational management of road mobility challenges, and models are used to generate the forecast. This paper uses a random process to present a novel traffic modelling framework for aggregate traffic on urban roads. The main idea is that road traffic flow is random, even for the recurrent flow, such as rush hour traffic, which is predisposed to congestion. Therefore, the structure of the aggregate traffic flow model for urban roads should correlate well with the essential variables of the observed random dynamics of the traffic flow phenomena. The novelty of this paper is the developed framework, based on the Poisson process, the kinematics of urban road traffic flow, and the intermediate modelling approach, which were combined to formulate the model. Empirical data from an urban road in Ghana was used to explore the model’s fidelity. The results show that the distribution from the model correlates well with that of the empirical traffic, providing a strong validation of the new framework and instilling confidence in its potential for significantly improved forecasts and, hence, a more hopeful outlook for real-world traffic management. 展开更多
关键词 poisson Process Macroscopic Traffic Flow Urban Road Long-Term Forecast Multiple Entries-Exits Dynamics
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一类带Poisson跳的延迟利率波动率模型数值解的收敛性
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作者 冯登宏 李志民 《吉首大学学报(自然科学版)》 2025年第5期10-18,共9页
构造了带延迟利率波动率和Poisson跳的Ait Sahalia模型,并引入改进截断Euler-Maruyama(EM)法探究其动态特性.在局部Lipschitz条件和Khasminskii型条件的理论框架下,证明了模型的改进截断EM法的数值解能够强收敛到模型的真实解.
关键词 延迟利率波动率 改进截断Euler-Maruyama法 Ait-Sahalia模型 poisson
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Bulging Performance and Quality Control of Aluminum Alloy Tailor-welded Overlapping Sheets Based on Interface Friction
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作者 GAO Tiejun GAO Bowen +1 位作者 LI Weijie ZHANG Jiabin 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2025年第1期258-264,共7页
In order to solve the problem of poor formability caused by different materials and properties in the process of tailor-welded sheets forming,a forming method was proposed to change the stress state of tailor-welded s... In order to solve the problem of poor formability caused by different materials and properties in the process of tailor-welded sheets forming,a forming method was proposed to change the stress state of tailor-welded sheets by covering the tailor-welded sheets with better plastic properties overlapping sheets.At the same time,the interface friction effect between the overlapping and tailor-welded sheets was utilized to control the stress magnitude and further improve the formability and quality of the tailor-welded sheets.In this work,the bulging process of the tailor-welded overlapping sheets was taken as the research object.Aluminum alloy tailor-welded overlapping sheets bulging specimens were studied by a combination of finite element analysis and experimental verification.The results show that the appropriate use of interface friction between tailor-welded and overlapping sheets can improve the formability of tailor-welded sheets and control the flow of weld seam to improve the forming quality.When increasing the interface friction coefficient on the side of tailor-welded sheets with higher strength and decreasing that on the side of tailor-welded sheets with lower strength,the deformation of the tailor-welded sheets are more uniform,the offset of the weld seam is minimal,the limit bulging height is maximal,and the forming quality is optimal. 展开更多
关键词 tailor-welded sheets overlapping sheet BULGING interface friction weld seam stress
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该文研究了如下Schrödinger-Poisson系统基态解以及束缚态解的存在性
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作者 刘泉 叶江华 郑雄军 《数学物理学报(A辑)》 北大核心 2025年第5期1492-1518,共27页
该文研究了如下Schrödinger-Poisson系统基态解以及束缚态解的存在性{−Δu+V(x)u+ϕ(x)u=|u|p−2u,x∈R3,−Δϕ(x)=u^(2),x∈R^(3),其中V是非稳定的位势函数并且p∈(4,6).当位势函数V是R3上的概周期函数时,该文利用集中紧原理证明了... 该文研究了如下Schrödinger-Poisson系统基态解以及束缚态解的存在性{−Δu+V(x)u+ϕ(x)u=|u|p−2u,x∈R3,−Δϕ(x)=u^(2),x∈R^(3),其中V是非稳定的位势函数并且p∈(4,6).当位势函数V是R3上的概周期函数时,该文利用集中紧原理证明了上述方程的壳方程(shell equation)存在一个基态解.并且,当V(x)=V(x1,x2,x3)关于xi(i=2,3)是Ti-周期,且对(x2,x3)∈[T2]×[T3]关于第一个变量x1是一致概周期时,上述系统存在一个束缚态解. 展开更多
关键词 Schrödinger-poisson系统 非稳定位势 概周期函数 集中紧原理
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具有Poisson型破产时间和无限破产重组观察期公司的债券定价
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作者 林建伟 陈媛 《浙江大学学报(理学版)》 北大核心 2025年第5期665-678,共14页
为统一处理破产时间因素和破产重组条款对公司债券定价的影响,用跳跃强度为ρ的Poisson过程的跳跃时刻描述公司可能宣布破产的时间,基于自我协商策略债务支付的破产重组模式,探讨公司股票和债券价值的定价问题。首先,采用结构化方法,建... 为统一处理破产时间因素和破产重组条款对公司债券定价的影响,用跳跃强度为ρ的Poisson过程的跳跃时刻描述公司可能宣布破产的时间,基于自我协商策略债务支付的破产重组模式,探讨公司股票和债券价值的定价问题。首先,采用结构化方法,建立了公司股票和债券定价的数学模型,其本质上是一组含有惩罚项的非线性常微分方程的自由边界问题。然后,通过It?公式和动态规划原理,推导得到求解公司股票价值和债券价值的显式表达式,以及公司最优破产边界值和最佳息票的解析表达式。同时验证了当ρ趋于无穷大时,模型的定价结果与现有文献的结果相近。最后,基于得到的定价表达式,用数值方法分析了跳跃强度ρ和破产重组条款对公司股票价值、债券价值以及最优破产边界值和最佳息票的影响。研究结果对公司估值和制定运行策略具有指导意义。 展开更多
关键词 poisson过程 破产重组 公司债券 定价 最优破产边界值
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An embedded electron current layer observed at the edge of the plasma sheet in the Earth’s magnetotail
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作者 ChenChen Zhan RongSheng Wang +2 位作者 QuanMing Lu San Lu XinMin Li 《Earth and Planetary Physics》 EI CAS 2025年第1期148-158,共11页
The formation of an embedded electron current sheet within the magnetotail plasma sheet has been poorly understood.In this article,we present an electron current layer detected at the edge of the magnetotail plasma sh... The formation of an embedded electron current sheet within the magnetotail plasma sheet has been poorly understood.In this article,we present an electron current layer detected at the edge of the magnetotail plasma sheet.The ions were demagnetized inside the electron current layer,but the electrons were still frozen in with the magnetic field line.Thus,this decoupling of ions and electrons gave rise to a strong Hall electric field,which could be the reason for the formation of the embedded thin current layer.The magnetized electrons,the absence of the nongyrotropic electron distribution,and negligible energy dissipation in the layer indicate that magnetic reconnection had not been triggered within the embedded thin current layer.The highly asymmetric plasma on the two sides of the current layer and low magnetic shear across it could suppress magnetic reconnection.The observations indicate that the embedded electric current layer,probably generated by the Hall electric field,even down to electron scale,is not a sufficient condition for magnetic reconnection. 展开更多
关键词 MAGNETOTAIL plasma sheet magnetic reconnection
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基于Poisson Superfish的纤维材料微波特性研究
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作者 王北戎 罗文茂 郑彤 《信息记录材料》 2025年第3期19-21,57,共4页
随着纤维材料的微波特性研究日趋成熟,不同纤维材料呈现出不同的穿透、吸收等微波特性。本研究通过设计圆柱形谐振腔,并基于Poisson Superfish软件进行仿真实验,模拟二维谐振腔模型,显示电磁场分布情况。通过测定在谐振腔插入纤维样品... 随着纤维材料的微波特性研究日趋成熟,不同纤维材料呈现出不同的穿透、吸收等微波特性。本研究通过设计圆柱形谐振腔,并基于Poisson Superfish软件进行仿真实验,模拟二维谐振腔模型,显示电磁场分布情况。通过测定在谐振腔插入纤维样品前后的谐振频率、带宽等参数变化计算纤维样品的相对复介电常数,探究纤维材料的微波特性变化。本研究旨在通过设计谐振腔、仿真实验和实际测定,系统地研究不同纤维材料的微波特性,为软件应用提供依据,为纤维材料的微波防护等应用提供参考。 展开更多
关键词 poisson Superfish软件 纤维材料 谐振腔 介电常数
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Influence of geometric configurations on friction characteristics during incremental forming process of AA5052 sheet metal 被引量:1
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作者 Guang-can YANG Da-wei ZHANG +1 位作者 Chong TIAN Sheng-dun ZHAO 《Transactions of Nonferrous Metals Society of China》 2025年第3期715-733,共19页
The influence of geometric configuration on the friction characteristics during incremental sheet forming of AA5052 was analyzed by integrating surface morphology and its characteristic parameters,along with plastic s... The influence of geometric configuration on the friction characteristics during incremental sheet forming of AA5052 was analyzed by integrating surface morphology and its characteristic parameters,along with plastic strain,contact pressure,and area.The interface promotes lubrication and support when wall angles were≤40°,a 0.5 mm-thin sheet was used,and a 10 mm-large tool radius was employed.This mainly results in micro-plowing and plastic extrusion flow,leading to lower friction coefficient.However,when wall angles exceed 40°,significant plastic strain roughening occurs,leading to inadequate lubrication on the newly formed surface.Increased sheet thickness and decreased tool radius elevate contact pressure.These actions trigger micro-cutting and adhesion,potentially leading to localized scuffing and dimple tears,and higher friction coefficient.The friction mechanisms remain unaffected by the part’s plane curve features.As the forming process progresses,abrasive wear intensifies,and surface morphology evolves unfavorably for lubrication and friction reduction. 展开更多
关键词 AA5052 sheet metal incremental forming process geometric configurations surface morphology characteristics friction mechanism
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Annealing temperature influence on forming limit curve and fracture toughness of aluminium/silver bilayer sheets 被引量:1
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作者 Mohammad Delshad GHOLAMI Mojtaba KHODAKARAMI +1 位作者 Mohammad ABADIAN Ramin HASHEMI 《Journal of Central South University》 2025年第1期34-48,共15页
This article examines the influence of annealing temperature on fracture toughness and forming limit curves of dissimilar aluminum/silver sheets.In the cold roll bonding process,after brushing and acid washing,the pre... This article examines the influence of annealing temperature on fracture toughness and forming limit curves of dissimilar aluminum/silver sheets.In the cold roll bonding process,after brushing and acid washing,the prepared surfaces are placed on top of each other and by rolling with reduction more than 50%,the bonding between layers is established.In this research,the roll bonding process was done at room temperature,without the use of lubricants and with a 70%thickness reduction.Then,the final thickness of the Ag/Al bilayer sheet reached 350μm by several stages of cold rolling.Before cold rolling,it should be noted that to decrease the hardness created due to plastic deformation,the roll-bonded samples were subjected to annealing heat treatment at 400℃for 90 min.Thus,the final samples were annealed at 200,300 and 400℃for 90 min and cooled in a furnace to examine the annealing temperature effects.The uniaxial tensile and microhardness tests measured mechanical properties.Also,to investigate the fracture mechanism,the fractography of the cross-section was examined by scanning electron microscope(SEM).To evaluate the formability of Ag/Al bilayer sheets,forming limit curves were obtained experimentally through the Nakazima test.The resistance of composites to failure due to cracking was also investigated by fracture toughness.The results showed that annealing increases the elongation and formability of the Ag/Al bilayer sheet while reduces the ultimate tensile strength and fracture toughness.However,the changing trend is not the same at different temperatures,and according to the results,the most significant effect is obtained at 300℃and aluminum layers.It was also determined that by increasing annealing temperature,the fracture mechanism from shear ductile with small and shallow dimples becomes ductile with deep cavities. 展开更多
关键词 cold roll bonding Ag/Al bilayer sheet mechanical properties forming limit curve fracture toughness
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膨胀Poisson分布下流行病病死率的回归模型估计
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作者 李春玉 安博文 李晓天 《河南科技学院学报(自然科学版)》 2025年第3期24-36,共13页
目的 针对传统方法在利用患病人数与死亡人数观测信息不足的问题,建立基于膨胀Poisson分布的流行病病死率解释预测模型以提高病死率估计精度.方法 基于Poisson分布、0膨胀Poisson分布和0-1膨胀Poisson分布构建3种回归模型,结合极大似然... 目的 针对传统方法在利用患病人数与死亡人数观测信息不足的问题,建立基于膨胀Poisson分布的流行病病死率解释预测模型以提高病死率估计精度.方法 基于Poisson分布、0膨胀Poisson分布和0-1膨胀Poisson分布构建3种回归模型,结合极大似然估计下的EM算法和Fisher信息矩阵进行参数点估计与区间估计;通过数值模拟验证算法收敛性与估计精度,并利用2020年3月新冠疫情数据进行实例分析,通过似然比检验比较模型优劣.结果 数值模拟表明,1膨胀部分估计误差低于1%,0膨胀部分误差低于10%;实例分析表明,0-1膨胀Poisson模型显著优于其他模型,新冠病死率与地区距湖北省距离呈负相关,死亡人数为0或1的分布特征与地理距离显著关联.结论 膨胀Poisson分布模型能够有效捕捉流行病爆发初期的病死率特征,尤其适用于分析死亡人数为0或1的地区,为精准识别流行病风险、制定差异化防控策略提供理论依据. 展开更多
关键词 流行病病死率 膨胀模型 poisson分布 回归估计
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Poisson核截断系数计算方法
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作者 赵辉 王文超 +2 位作者 王建伟 王夏莉 李思卓 《测绘科学技术学报》 2025年第4期348-352,共5页
Poisson积分远区影响计算中,Poisson核截断系数的计算通常采用数值积分法。推导了Poisson核截断系数计算的严密公式,只需要完成固定几项的运算,即可实现截断系数的快速计算。利用严密公式,计算了720阶以内不同延拓高度、不同积分半径的P... Poisson积分远区影响计算中,Poisson核截断系数的计算通常采用数值积分法。推导了Poisson核截断系数计算的严密公式,只需要完成固定几项的运算,即可实现截断系数的快速计算。利用严密公式,计算了720阶以内不同延拓高度、不同积分半径的Poisson核截断系数。经分析,在相同积分半径下,随着延拓高度的增加,Poisson核截断系数数值波动幅度变大;在相同延拓高度下,随着积分半径的增大,Poisson核截断系数数值波动幅度减小。 展开更多
关键词 第一大地边值问题 poisson积分 截断系数 远区影响 重力延拓
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二维线性化双极Navier-Stokes-Poisson方程解的衰减估计
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作者 肖连慧 徐红梅 《湖北大学学报(自然科学版)》 2025年第6期843-851,共9页
讨论二维空间线性化的等熵可压缩双极Navier-Stokes-Poisson方程柯西问题解的L^(2)衰减估计。首先将方程函数关于变量x作Fourier变换,得到一个常微分方程组,然后用特殊技巧把大型方程组转变成两个独立的小型常微分方程组,从而求出方程解... 讨论二维空间线性化的等熵可压缩双极Navier-Stokes-Poisson方程柯西问题解的L^(2)衰减估计。首先将方程函数关于变量x作Fourier变换,得到一个常微分方程组,然后用特殊技巧把大型方程组转变成两个独立的小型常微分方程组,从而求出方程解,最后对不同频率的解用不同方法得出其衰减估计。 展开更多
关键词 Navier-Stokes-poisson方程 二维空间 衰减估计 FOURIER变换
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A Fast Algorithm for Solving the Poisson Equations Based on the Discrete Cosine/Sine Transforms in the Finite Difference Method
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作者 LI Congcong WANG Danxia +1 位作者 JIA Hongen ZHANG Chenhui 《应用数学》 北大核心 2025年第3期651-669,共19页
To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical c... To enhance the computational efficiency of spatio-temporally discretized phase-field models,we present a high-speed solver specifically designed for the Poisson equations,a component frequently used in the numerical computation of such models.This efficient solver employs algorithms based on discrete cosine transformations(DCT)or discrete sine transformations(DST)and is not restricted by any spatio-temporal schemes.Our proposed methodology is appropriate for a variety of phase-field models and is especially efficient when combined with flow field systems.Meanwhile,this study has conducted an extensive numerical comparison and found that employing DCT and DST techniques not only yields results comparable to those obtained via the Multigrid(MG)method,a conventional approach used in the resolution of the Poisson equations,but also enhances computational efficiency by over 90%. 展开更多
关键词 Phase-field model Finite difference method Fast poisson solver(DC-T/DST) Explicit invariant energy quadratization Unconditional energy stability
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The effects of polymeric binder on microstructural characteristics of powder sheet additive manufacturing
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作者 Wenyou Zhang Zhe Cai +3 位作者 Asli Coban Ramesh Babu Wajira Mirihanage Rocco Lupoi 《Additive Manufacturing Frontiers》 2025年第4期176-183,共8页
A novel laser-based additive manufacturing approach of metal additive manufacturing using powder sheets(MAPS)has been introduced recently.The method utilizes polymer-bound powder sheets for metal AM as a feedstock,ins... A novel laser-based additive manufacturing approach of metal additive manufacturing using powder sheets(MAPS)has been introduced recently.The method utilizes polymer-bound powder sheets for metal AM as a feedstock,instead of loose powders.Conventional laser beam powder bed fusion(LPBF)additive manufacturing(AM)is among the most widespread 3D printing technologies.However,LPBF faces challenges related to safety and the impracticality of changing materials due to its reliance on loose powders.Thus,MAPS demonstrates the capability to overcome the limitations of LPBF by offering enhanced safety and the ability to print multi-material structures without the risk of material cross-contamination.As a part of developing processes,we investigate the effects of polymeric binder content on the printability and microstructural characteristics of MAPS-printed stainless steel 316 L.The results indicate that the average layer thickness of solidified material improves as the scanning speed decreases from 1000 mm/s to 50 mm/s across three different polymeric binder contents:10 wt%,20 wt%,and 30 wt%PCL.Additionally,a higher polymeric binder content(i.e.20 wt%and 30 wt%)in the powder sheets reduces the likelihood of crack formation.Electron backscatter diffraction(EBSD)analysis reveals that an increase in scanning speed promotes the formation of more equiaxed grains,while an increase in polymer content results in a reduction in grain size.These findings provide valuable insights into optimizing MAPS configurations for enhanced productivity and functionality in metal component manufacturing. 展开更多
关键词 Powder sheet MICROSTRUCTURE Polymer content PRINTABILITY Additive manufacturing
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A Study on the Risks Associated with On-Balance Sheet Recognition of Data Resources
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作者 Xia Xiao 《Proceedings of Business and Economic Studies》 2025年第5期169-176,共8页
This study focuses on the risks associated with the on-balance sheet recognition of data resources.At the legal level,disputes over ownership often arise due to unclear data property rights,while privacy protection,cy... This study focuses on the risks associated with the on-balance sheet recognition of data resources.At the legal level,disputes over ownership often arise due to unclear data property rights,while privacy protection,cybersecurity,and cross-border data flows create additional compliance challenges.In terms of recognition,the subjectivity of traditional valuation methods,the lack of active markets,and the rapid depreciation of data value caused by technological iteration hinder reliable measurement.With respect to disclosure,organizations face a dilemma between transparency and confidentiality.Collectively,these issues exacerbate audit risks.It is therefore imperative to establish an appropriate legal,accounting,and auditing framework to mitigate such risks and remove barriers to the proper recognition of data assets on balance sheets. 展开更多
关键词 Data resources On-balance sheet recognition Valuation uncertainty Information disclosure RISK
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A NEW PROOF OF NONLINEAR LANDAU DAMPING FOR THE 3D VLASOV-POISSON SYSTEM NEAR POISSON EQUILIBRIUM
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作者 Quoc-Hung NGUYEN Dongyi WEI Zhifei ZHANG 《Acta Mathematica Scientia》 2025年第6期2669-2684,共16页
This paper investigates nonlinear Landau damping in the 3D Vlasov-Poisson(VP)system.We study the asymptotic stability of the Poisson equilibriumμ(v)=1/π^(2)(1+|v|^(2))^(2) under small perturbations.Building on the f... This paper investigates nonlinear Landau damping in the 3D Vlasov-Poisson(VP)system.We study the asymptotic stability of the Poisson equilibriumμ(v)=1/π^(2)(1+|v|^(2))^(2) under small perturbations.Building on the foundational work of Ionescu,Pausader,Wang and Widmayer[28],we provide a streamlined proof of nonlinear Landau damping for the 3D unscreened VP system.Our analysis leverages sharp decay estimates,novel decomposition techniques to demonstrate the stabilization of the particle distribution and the decay of electric field.These results reveal the free transport-like behavior for the perturbed densityρ(t,x),and enhance the understanding of Landau damping in an unconfined setting near stable equilibria. 展开更多
关键词 Landau damping Vlasov-poisson equation poisson equilibrium
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Comparison of edge crack behavior of Mg-3Al-1Zn sheets rolled from as-cast,as-rolled and as-extruded alloys
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作者 Qiu-yan SHEN Shang-yi ZHANG +4 位作者 Qiang LIU Jiang-feng SONG Dong-xia XIANG Bin JIANG Fu-sheng PAN 《Transactions of Nonferrous Metals Society of China》 2025年第3期788-799,共12页
Edge cracking is one of the most serious problems in the rolling process of magnesium alloy sheets,which limits its application.In this work,the edge cracking behavior of different initial AZ31 alloy sheets,including ... Edge cracking is one of the most serious problems in the rolling process of magnesium alloy sheets,which limits its application.In this work,the edge cracking behavior of different initial AZ31 alloy sheets,including as-cast(AC),as-rolled(AR)and as-extruded(AE),was systematically investigated and compared under the online heating rolling(O-LHR)process with a single-pass reduction of 50% at 250℃.The results show that both AC and AR sheets exhibit severe edge cracking behavior after the O-LHR.Among them,the AR sheet exhibits the severest edge cracking behavior on the rolling plane(RD-TD)and longitudinal section(RD-ND),which is attributed to the strong basal texture and extremely uneven microstructure with shear bands.While no visible edge crack appears in the AE rolled sheet,which is mainly related to the tilted texture and the more dynamic recrystallization during rolling process.Moreover,it is also found that the micro-cracks of the AC rolled sheet are mainly generated in the local fine-grained area and the twins where recrystallization occurs.In the AR rolled sheet,micro-cracks mainly develop inside the shear bands.Meanwhile,the micro-crack initiation mechanism of AC and AR rolled sheets was also discussed. 展开更多
关键词 AZ31 sheet edge crack behavior initial state texture microstructure
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