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Analysis of DC Aging Characteristics of Stable ZnO Varistors Based on Voronoi Network and Finite Element Simulation Model
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作者 ZHANG Ping LU Mingtai +1 位作者 LU Tiantian YUE Yinghu 《材料导报》 北大核心 2026年第2期20-28,共9页
In modern ZnO varistors,traditional aging mechanisms based on increased power consumption are no longer relevant due to reduced power consumption during DC aging.Prolonged exposure to both AC and DC voltages results i... In modern ZnO varistors,traditional aging mechanisms based on increased power consumption are no longer relevant due to reduced power consumption during DC aging.Prolonged exposure to both AC and DC voltages results in increased leakage current,decreased breakdown voltage,and lower nonlinearity,ultimately compromising their protective performance.To investigate the evolution in electrical properties during DC aging,this work developed a finite element model based on Voronoi networks and conducted accelerated aging tests on commercial varistors.Throughout the aging process,current-voltage characteristics and Schottky barrier parameters were measured and analyzed.The results indicate that when subjected to constant voltage,current flows through regions with larger grain sizes,forming discharge channels.As aging progresses,the current focus increases on these channels,leading to a decline in the varistor’s overall performance.Furthermore,analysis of the Schottky barrier parameters shows that the changes in electrical performance during aging are non-monotonic.These findings offer theoretical support for understanding the aging mechanisms and condition assessment of modern stable ZnO varistors. 展开更多
关键词 ZnO varistors Voronoi network DC aging finite element method(FEM) current distribution double Schottky barrier theory
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A Finite Volume Trigonometric WENO Scheme for Nonlinear Degenerate Parabolic Equation
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作者 Gulikayier Haerman Kaiyishaer Reheman +1 位作者 Muyesaier Aihemaiti Wei Xunan 《新疆大学学报(自然科学版中英文)》 2026年第1期16-26,共11页
In this paper,we present a finite volume trigonometric weighted essentially non-oscillatory(TWENO)scheme to solve nonlinear degenerate parabolic equations that may exhibit non-smooth solutions.The present method is de... In this paper,we present a finite volume trigonometric weighted essentially non-oscillatory(TWENO)scheme to solve nonlinear degenerate parabolic equations that may exhibit non-smooth solutions.The present method is developed using the trigonometric scheme,which is based on zero,first,and second moments,and the direct discontinuous Galerkin(DDG)flux is used to discretize the diffusion term.Moreover,the DDG method directly applies the weak form of the parabolic equation to each computational cell,which can better capture the characteristics of the solution,especially the discontinuous solution.Meanwhile,the third-order TVD-Runge-Kutta method is applied for temporal discretization.Finally,the effectiveness and stability of the method constructed in this paper are evaluated through numerical tests. 展开更多
关键词 trigonometric WENO scheme finite volume method nonlinear degenerate parabolic equation TVD-Runge-Kutta method
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AUGMENTED SUBSPACE SCHEME FOR EIGENVALUE PROBLEM BY WEAK GALERKIN FINITE ELEMENT METHOD
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作者 Yue Feng Zhijin Guan +1 位作者 Hehu Xie Chenguang Zhou, 《Journal of Computational Mathematics》 2026年第1期135-164,共30页
This study proposes a class of augmented subspace schemes for the weak Galerkin(WG)finite element method used to solve eigenvalue problems.The augmented subspace is built with the conforming linear finite element spac... This study proposes a class of augmented subspace schemes for the weak Galerkin(WG)finite element method used to solve eigenvalue problems.The augmented subspace is built with the conforming linear finite element space defined on the coarse mesh and the eigen-function approximations in the WG finite element space defined on the fine mesh.Based on this augmented subspace,solving the eigenvalue problem in the fine WG finite element space can be reduced to the solution of the linear boundary value problem in the same WG finite element space and a low dimensional eigenvalue problem in the augmented sub-space.The proposed augmented subspace techniques have the second order convergence rate with respect to the coarse mesh size,as demonstrated by the accompanying error esti-mates.Finally,a few numerical examples are provided to validate the proposed numerical techniques. 展开更多
关键词 Eigenvalue problem Augmented subspace scheme Weak Galerkin finite ele-ment method Second order convergence rate
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OPTIMAL POINT-WISE ERROR ESTIMATE OF TWO SECOND-ORDER ACCURATE FINITE DIFFERENCE SCHEMES FOR THE HEAT EQUATION WITH CONCENTRATED CAPACITY
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作者 Leilei Shi Tingchun Wang Xuanxuan Zhou 《Journal of Computational Mathematics》 2026年第1期61-83,共23页
In this paper,we propose and analyze two second-order accurate finite difference schemes for the one-dimensional heat equation with concentrated capacity on a computa-tional domain=[a,b].We first transform the target ... In this paper,we propose and analyze two second-order accurate finite difference schemes for the one-dimensional heat equation with concentrated capacity on a computa-tional domain=[a,b].We first transform the target equation into the standard heat equation on the domain excluding the singular point equipped with an inner interface matching(IIM)condition on the singular point x=ξ∈(a,b),then adopt Taylor’s ex-pansion to approximate the IIM condition at the singular point and apply second-order finite difference method to approximate the standard heat equation at the nonsingular points.This discrete procedure allows us to choose different grid sizes to partition the two sub-domains[a,ξ]and[ξ,b],which ensures that x=ξ is a grid point,and hence the pro-posed schemes can be generalized to the heat equation with more than one concentrated capacities.We prove that the two proposed schemes are uniquely solvable.And through in-depth analysis of the local truncation errors,we rigorously prove that the two schemes are second-order accurate both in temporal and spatial directions in the maximum norm without any constraint on the grid ratio.Numerical experiments are carried out to verify our theoretical conclusions. 展开更多
关键词 Heat equation with concentrated capacity finite difference scheme Inner interface matching condition Unconditional convergence Optimal error estimate
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A Hybrid Experimental-Numerical Framework for Identifying Viscoelastic Parameters of 3D-Printed Polyurethane Samples:Cyclic Tests,Creep/Relaxation and Inverse Finite Element Analysis
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作者 Nikita Golovkin Olesya Nikulenkova +4 位作者 Vsevolod Pobezhimov Alexander Nesmelov Sergei Chvalun Fedor Sorokin Arthur Krupnin 《Computers, Materials & Continua》 2026年第3期519-536,共18页
This study presents and verifies a hybrid methodology for reliable determination of parameters in structural rheological models(Zener,Burgers,and Maxwell)describing the viscoelastic behavior of polyurethane specimens ... This study presents and verifies a hybrid methodology for reliable determination of parameters in structural rheological models(Zener,Burgers,and Maxwell)describing the viscoelastic behavior of polyurethane specimens manufactured using extrusion-based 3D printing.Through comprehensive testing,including cyclic compression at strain rates ranging from 0.12 to 120 mm/min(0%-15%strain)and creep/relaxation experiments(10%-30%strain),the lumped parameters were independently determined using both analytical and numerical solutions of the models’differential equations,followed by cross-verification in additional experiments.Numerical solutions for creep and relaxation problems were obtained using finite element analysis,with the three-parameter Mooney-Rivlin model and Prony series employed to simulate elastic and viscous stress components,respectively.Energy dissipation per cycle was quantified during cyclic compression tests.The results demonstrate that all three models adequately describe material behavior within the 0%-15%strain range across various strain rates.Comparative analysis revealed the Burgers model’s superior performance in characterizing creep and stress relaxation at low strain levels.While Zener and Burgers model parameters from uniaxial compression showed limited applicability for energy dissipation calculations,the generalized Maxwell model effectively captured viscoelastic properties across different strain rates.Notably,parameters derived from creep tests provided a more universal assessment of dissipative properties due to optimization based on characteristic curve regions.Both parameter sets described polyurethane’s elastic-hysteretic behavior with approximately 20%error,proving significantly more accurate than the linear strain-time dependence hypothesis.Finite element analysis(FEA)complemented numerical modeling by demonstrating that while the generalized Maxwell model effectively describes initial rapid stress-strain changes,FEA provides superior characterization of steady-state processes.This computational approach yields more physically representative results compared to simplified analytical solutions,despite certain limitations in transient analysis. 展开更多
关键词 VISCOELASTICITY cyclic compression HYSTERESIS CREEP stress relaxation finite element method optimization 3D printing structural rheological models Prony series
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基于FVCOM模型的无管网资料地区暴雨内涝模拟研究 被引量:1
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作者 李陪然 刘非 +2 位作者 陈垚 魏书仪 代晟 《人民长江》 北大核心 2025年第1期31-39,共9页
为实现无管网资料地区内涝风险模拟,以重庆市渝北区悦来新城排水片区为研究区域,采用降雨率折现法、全域等效排水法、道路等效排水法、雨水井等效排水法等4种方法等效替代管网排水能力,并构建基于Finite Volume Coastal Ocean Model(FVC... 为实现无管网资料地区内涝风险模拟,以重庆市渝北区悦来新城排水片区为研究区域,采用降雨率折现法、全域等效排水法、道路等效排水法、雨水井等效排水法等4种方法等效替代管网排水能力,并构建基于Finite Volume Coastal Ocean Model(FVCOM)的全水动力雨洪模型,采用理想算例与实测降雨验证模型,选取最合适的等效模型对研究区不同雨型下的内涝积水特征进行模拟分析,并基于洪水危险率分析内涝风险。结果表明:降雨率折现法、全域等效排水法、道路等效排水法和雨水井等效排水法模拟所得易涝点积水面积平均相对误差分别为36.49%,43.31%,8.18%和4.42%,相比之下雨水井等效排水法模拟效果最好,但在无街景区域可能存在一定限制;相同重现期下,雨峰靠前的降雨初期积水增加更快,雨峰靠后的降雨导致的内涝风险相对更高;相同雨峰系数下,重现期越大,积水面积和积水量均越大,整体内涝风险越高。研究成果可为管网资料缺乏地区城市内涝模拟提供参考。 展开更多
关键词 暴雨雨型 内涝风险 等效排水方法 fvcom 无管网资料地区 重庆市
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基于FVCOM的漂流浮标运动轨迹预测方法研究
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作者 贾永康 王斌 +2 位作者 张晓爽 武双全 王智峰 《海洋湖沼通报(中英文)》 北大核心 2025年第6期1-11,共11页
本文采用FVCOM模型对台湾海峡表面流场进行数值预测,采用FVCOM模拟流场以及ERA5风场作为漂流浮标运动的背景场,忽略波浪力对漂流浮标运动的影响,采用拉格朗日粒子追踪方法对漂流浮标运动轨迹进行模拟,利用风致漂移系数来校正模拟漂流浮... 本文采用FVCOM模型对台湾海峡表面流场进行数值预测,采用FVCOM模拟流场以及ERA5风场作为漂流浮标运动的背景场,忽略波浪力对漂流浮标运动的影响,采用拉格朗日粒子追踪方法对漂流浮标运动轨迹进行模拟,利用风致漂移系数来校正模拟漂流浮标的运动轨迹。结果表明,风致漂移系数在0.04时,漂流浮标模拟轨迹与实测轨迹拟合较好,模拟6 h误差为1.74 km,12 h误差为5.78 km,24 h误差为7.29 km,48 h误差为0.66 km,72 h误差为9.54 km,96 h误差为29.97 km。 展开更多
关键词 拉格朗日粒子追踪 fvcom模型 漂移轨迹 台湾海峡
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基于FVCOM的三门湾及邻近海域潮汐潮流数值模拟
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作者 刘哲 陈勤思 +4 位作者 胡松 李娜 黄岱颍 陈茹愚 顾荣齐 《海洋学报》 北大核心 2025年第10期25-40,共16页
理解区域海洋潮汐过程对保障海洋工程建设、降低海洋环境污染等具有重要意义。近年来,三门湾区域频繁开展围垦等海洋开发活动,一定程度改变了湾内水动力环境。本文基于三维非结构有限体积海洋模式FVCOM(Finite Volume Community Ocean M... 理解区域海洋潮汐过程对保障海洋工程建设、降低海洋环境污染等具有重要意义。近年来,三门湾区域频繁开展围垦等海洋开发活动,一定程度改变了湾内水动力环境。本文基于三维非结构有限体积海洋模式FVCOM(Finite Volume Community Ocean Model),构建了三门湾及邻近海域数值模型,利用三门湾口门处3个站点的实测潮流数据以及两个站点的潮位数据验证了模型的可靠性。在此基础上,分析了当前三门湾及邻近海域的潮汐、潮流的分布特征和潮波的传播特征,并通过对比2000年与2020年岸线条件下的敏感性实验结果,量化分析了围垦引起的岸线变迁对湾内水动力环境的影响。结果表明,研究海域以正规半日潮为主,M_(2)分潮振幅最大(1.5~2 m),S_(2)次之,两者均呈现由东南向西北传播的特征。潮流方面,湾内以往复流为主,M_(2)分潮潮流椭圆长半轴最大可达1 m/s;余流在地形复杂区域可高达0.4 m/s,湾内余流从东北岸向湾内流入,西南岸向湾外流出;潮能通量密度向湾口传播过程中逐渐衰减,在口门处减弱至约20 kW/m。对比分析表明,随着岸线变迁,湾内涨潮优势增强,湾顶区域M_(2)分潮振幅减小了0.2 m。湾口东北侧余流方向发生逆转,由向外流转为向内流,部分深水水道区域潮能通量密度相比减小了约40 kW/m。通过与实测资料对比,本研究所进行数值模拟结果与实测资料基本吻合,能够反映出近年来三门湾水动力状况,为研究典型近海海湾围垦对水环境动力的影响提供科学依据。 展开更多
关键词 三门湾 fvcom 潮汐潮流 围垦
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基于FVCOM的南极长城站潮汐数值模拟
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作者 董轩 黄岱颍 胡松 《极地研究》 北大核心 2025年第3期551-562,共12页
中国南极长城站位于南极乔治王岛的菲尔德斯半岛南端,其附近海域的潮汐观测研究对于长城站建设和维护及其海洋研究等都具有重要意义。本文基于三维水动力海洋数值模型(FVCOM),模拟南设得兰群岛及长城站邻近海域的潮汐动力过程,并将模式... 中国南极长城站位于南极乔治王岛的菲尔德斯半岛南端,其附近海域的潮汐观测研究对于长城站建设和维护及其海洋研究等都具有重要意义。本文基于三维水动力海洋数值模型(FVCOM),模拟南设得兰群岛及长城站邻近海域的潮汐动力过程,并将模式输出的2015—2017年3年的夏季水位与长城站实测水位对比,发现模型能够较好地模拟计算海域内的潮汐过程。应用以上的模型结果,本文还探讨了长城站附近海域往复流和旋转流的分布特征,发现其最大可能潮差分布呈现东南角大、西北角小,在乔治王岛东北端和西南端都存在极大潮差的特点。 展开更多
关键词 潮汐特征 数值模拟 fvcom 中国南极长城站
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面向响应系数法的FVCOM模型算法优化:以象山港为例
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作者 秦志浩 胡松 陈勤思 《海洋学研究》 北大核心 2025年第2期67-78,共12页
基于响应系数的数值模拟是在港湾环境容量评估中的常用方法之一,但目前常见的海洋模型中没有可同时计算多个释放点的响应系数场且互不干扰的示踪物模块。针对响应系数法的特点,本研究对三维水动力海洋数值模型FVCOM(Finite-Volume Commu... 基于响应系数的数值模拟是在港湾环境容量评估中的常用方法之一,但目前常见的海洋模型中没有可同时计算多个释放点的响应系数场且互不干扰的示踪物模块。针对响应系数法的特点,本研究对三维水动力海洋数值模型FVCOM(Finite-Volume Community Ocean Model)的示踪物模块(dyeing tracking,DYE)进行改进,在模型原有DYE模块的基础上增加多个功能与原DYE模块相同的独立模块,即并行计算多个DYE模块,使FVCOM能够同时计算多个互不干扰的保守示踪物模块。以一个理想地形矩形案例和一个象山港理想地形案例进行了测试。结果显示,改进算法模拟的多点源示踪物平流扩散过程互不影响,且模拟的响应系数场与传统算法一致;相较于传统算法,改进算法的计算过程耗时更短,对理想矩形案例的计算效率最高提升了85%,对象山港案例最高提升了78%;在并行运算的条件下,改进算法对CPU进程的利用率更高。使用改进后的DYE计算响应系数场可以缩短海洋环境容量评估的整体用时。 展开更多
关键词 fvcom DYE 响应系数 多源示踪物独立扩散 并行加速比 CPU利用率
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基于FVCOM的库克海峡邻近海域潮汐模拟研究
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作者 秦志浩 胡松 程灵巧 《海岸工程》 2025年第2期173-185,共13页
基于有限体积三维水动力海洋数值模型FVCOM(Finite-Volume Community Ocean Model)对库克海峡邻近海域的潮汐潮流进行了数值模拟分析,同时搜集了验潮站的潮位数据及其潮汐调和分析数据,对模型结果进行了对比验证。结果表明,库克海峡两... 基于有限体积三维水动力海洋数值模型FVCOM(Finite-Volume Community Ocean Model)对库克海峡邻近海域的潮汐潮流进行了数值模拟分析,同时搜集了验潮站的潮位数据及其潮汐调和分析数据,对模型结果进行了对比验证。结果表明,库克海峡两侧潮汐存在着显著差异,北侧由新西兰海岸向塔斯曼海的方向上,振幅逐渐降低,南侧由南部宽阔海域向新西兰南部岸线的方向上,振幅逐渐升高,且该区域的潮汐过程受地形和岸线影响较大。库克海峡中部存在典型的往复流,且以向南流动为主。库克海峡南侧存在的隆起地形和海沟是海峡之外该海域潮汐过程的重要影响因子,具体表现在南部海洋中隆起区域的潮流流速显著增加,流向也随之改变。与实测资料的对比结果表明,本研究的数值模拟结果与实测资料基本吻合,能够准确地模拟库克海峡邻近海域的潮汐潮流状况,为相关海洋工程建设以及科学研究等提供了重要的试验依据。 展开更多
关键词 潮汐 潮流 数值模拟 fvcom 库克海峡邻近海域
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基于FVCOM模型的渤海潮汐潮流模拟研究 被引量:1
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作者 郑鹏 魏学源 +1 位作者 王彩霞 卜清军 《天津航海》 2025年第2期64-69,共6页
基于FVCOM(Finite-Volu me Coastal Ocean Model)三维水动力模型,将整个渤海海域及其邻近的黄海北部海域作为研究海域,以8个主要分潮(M_(2),S_(2),K_(2),N_(2),K_(1),O_(1),P_(1),Q_(1))调和分析得到的水位驱动开边界,对研究海域的潮汐... 基于FVCOM(Finite-Volu me Coastal Ocean Model)三维水动力模型,将整个渤海海域及其邻近的黄海北部海域作为研究海域,以8个主要分潮(M_(2),S_(2),K_(2),N_(2),K_(1),O_(1),P_(1),Q_(1))调和分析得到的水位驱动开边界,对研究海域的潮汐、潮流进行了数值模拟。文章通过对模拟结果中的水位数据和流场数据进行调和分析,绘制了研究海域的四大主要分潮(M_(2),S_(2),K_(1),O_(1))的同潮时图、潮流椭圆分布图,分析判断了研究海域的潮汐、潮流类型。经过对比分析,与公认的结果非常一致,说明了FVCOM模型能够很好地模拟近海的潮汐潮流。 展开更多
关键词 fvcom 渤海 潮汐潮流
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Finite element analysis and experimental study on the sealing performance of low-phenyl silicone rubber sealing rings 被引量:1
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作者 Ming Gao Dongkai Li +6 位作者 Kun Liu Shuliang Xu Feng Zhao Ben Guo Anhui Pan Xiao Xie Huanre Han 《Railway Sciences》 2025年第1期123-137,共15页
Purpose–The brake pipe system was an essential braking component of the railway freight trains,but the existing E-type sealing rings had problems such as insufficient low-temperature resistance,poor heat stability an... Purpose–The brake pipe system was an essential braking component of the railway freight trains,but the existing E-type sealing rings had problems such as insufficient low-temperature resistance,poor heat stability and short service life.To address these issues,low-phenyl silicone rubber was prepared and tested,and the finite element analysis and experimental studies on the sealing performance of its sealing rings were carried out.Design/methodology/approach–The low-temperature resistance and thermal stability of the prepared lowphenyl silicone rubber were studied using low-temperature tensile testing,differential scanning calorimetry,dynamic thermomechanical analysis and thermogravimetric analysis.The sealing performance of the lowphenyl silicone rubber sealing ring was studied by using finite element analysis software abaqus and experiments.Findings–The prepared low-phenyl silicone rubber sealing ring possessed excellent low-temperature resistance and thermal stability.According to the finite element analysis results,the finish of the flange sealing surface and groove outer edge should be ensured,and extrusion damage should be avoided.The sealing rings were more susceptible to damage in high compression ratio and/or low-temperature environments.When the sealing effect was ensured,a small compression ratio should be selected,and rubbers with hardness and elasticity less affected by temperature should be selected.The prepared low-phenyl silicone rubber sealing ring had zero leakage at both room temperature(RT)and�508C.Originality/value–The innovation of this study is that it provides valuable data and experience for the future development of the sealing rings used in the brake pipe flange joints of the railway freight cars in China. 展开更多
关键词 Low-phenyl silicone rubber Sealing ring Sealing performance finite element analysis LEAKAGE
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Integrating finite element analysis in total hip arthroplasty for childhood hip disorders:Enhancing precision and outcomes 被引量:1
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作者 Muhammad Imam Ammarullah 《World Journal of Orthopedics》 2025年第1期1-11,共11页
Total hip arthroplasty for adults with sequelae from childhood hip disorders poses significant challenges due to altered anatomy.The paper published by Oommen et al reviews the essential management strategies for thes... Total hip arthroplasty for adults with sequelae from childhood hip disorders poses significant challenges due to altered anatomy.The paper published by Oommen et al reviews the essential management strategies for these complex cases.This article explores the integration of finite element analysis(FEA)to enhance surgical precision and outcomes.FEA provides detailed biomechanical insights,aiding in preoperative planning,implant design,and surgical technique optimization.By simulating implant configurations and assessing bone quality,FEA helps in customizing implants and evaluating surgical techniques like subtrochanteric shortening osteotomy.Advanced imaging techniques,such as 3D printing,virtual reality,and augmented reality,further enhance total hip arthroplasty precision.Future research should focus on validating FEA models,developing patient-specific simulations,and promoting multidisciplinary collaboration.Integrating FEA and advanced technologies in total hip arthroplasty can improve functional outcomes,reduce complications,and enhance quality of life for patients with childhood hip disorder sequelae. 展开更多
关键词 finite element analysis Total hip arthroplasty Childhood hip disorders IMPLANT BIOMECHANICAL
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Grothendieck Groups of Finite 2-Calabi-Yau Triangulated Categories with Maximal Rigid Objects
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作者 CHANG Huimin 《数学进展》 北大核心 2025年第3期479-488,共10页
In this work,we compute the Grothendieck groups of finite 2-Calabi-Yau triangulated categories with maximal rigid objects which are not cluster tilting.These finite 2-Calabi-Yau triangulated categories are divided int... In this work,we compute the Grothendieck groups of finite 2-Calabi-Yau triangulated categories with maximal rigid objects which are not cluster tilting.These finite 2-Calabi-Yau triangulated categories are divided into,by the work of Amiot[Bull.Soc.Math.France,2007,135(3):435-474](see also[Adv.Math.,2008,217(6):2443-2484]and[J.Algebra,2016,446:426-449]),three classes:type A,type D and type E. 展开更多
关键词 finite 2-Calabi-Yau triangulated category Grothendieck group Dynkin quiver
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Finite Deformation, Finite Strain Nonlinear Micropolar NCCT for Thermoviscoelastic Solids with Rheology
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作者 Karan S. Surana Sri Sai Charan Mathi 《Applied Mathematics》 2025年第1期143-168,共26页
This paper presents a nonlinear micropolar nonclassical continuum theory (MPNCCT) for finite deformation, finite strain deformation physics of thermosviscoelastic solid medium with memory (polymeric micropolar solids)... This paper presents a nonlinear micropolar nonclassical continuum theory (MPNCCT) for finite deformation, finite strain deformation physics of thermosviscoelastic solid medium with memory (polymeric micropolar solids) based on classical rotations cΘand their rates. Contravariant second Piola-Kirchhoff stress and moment tensors, in conjunction with finite deformation measures derived by the authors in recent paper, are utilized in deriving the conservation and balance laws and the constitutive theories based on conjugate pairs in entropy inequality and the representation theorem. This nonlinear MPNCCT for TVES with rheology: 1) incorporates nonlinear ordered rate dissipation mechanism based on Green’s strain rates up to order n;2) also incorporates an additional ordered rate dissipation mechanism due to microconstituents, the viscosity of the medium and the rates of the symmetric part of the rotation gradient (of cΘ) tensor up to order n, referred to as micropolar dissipation or micropolar viscous dissipation mechanism;3) incorporates the primary mechanism of memory or rheology due to long chain molecules of the polymer and the viscosity of the medium by using the contravaraint second Piola-Kirchhoff stress tensor and its rates up to order m, resulting in a relaxation spectrum;4) incorporates second mechanism of memory or rheology due to nonclassical physics, interaction of microconstituents with the viscous medium and long chain molecules by considering rates of the contravariant second Piola-Kirchhoff moment tensor up to order m, resulting in relaxation of second Piola-Kirchhoff moment tensor. This results in another relaxation spectrum for the second Piola-Kirchhoff moment tensor due to microconstituents, referred to as micropolar relaxation spectrum consisting of micropolar relaxation time constants of the material. This nonlinear MPNCCT for TVES with memory is thermodynamically and mathematically consistent, and the mathematical model consisting of conservation and balance laws and the constitutive theories has closure and naturally reduces to linear MPNCCT based on infinitesimal deformation assumption. BMM is the essential balance law for all MPNCCT and is used in the present work as well. In the absence of this balance law, a valid thermodynamically and mathematically consistent nonlinear MPNCCT is not possible. The nonlinear MPNCCT based on rotations (cΘ+αΘ) and αΘ(ignoring cΘ) is not considered due to the fact that even the linear MPNCCT based on these rotations is invalid and is thermodynamically and mathematically inconsistent MPNCCT. 展开更多
关键词 NONCLASSICAL MICROPOLAR Dissipation Ordered Rate Conservation and Balance Laws Representation Theorem Microviscous Dissipation Microdissipation Ordered Rate finite Deformation Theories finite Strain Conservation and Balance Laws
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The Finite Element Analysis of Optimal Orthodontic Force for Canine Distalization with Long-Arm Brackets
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作者 Zhidan Zhu Xiaojing Sun +4 位作者 Bin Lu Qijie Shi Yun Tang Siyu Zou Qian Jiang 《Journal of Biosciences and Medicines》 2025年第1期196-205,共10页
Objective: To compare the stress distribution in the periodontal ligament under different orthodontic forces during canine distalization using long-arm brackets, and to determine the optimal force value for this devic... Objective: To compare the stress distribution in the periodontal ligament under different orthodontic forces during canine distalization using long-arm brackets, and to determine the optimal force value for this device in orthodontic treatment. Methods: A finite element model was constructed after extracting the mandibular first premolar, and a long-arm bracket with a traction height of 6 mm was placed on the labial side of the mandibular canine. Three working conditions of 50 g, 100 g, and 150 g were simulated, and the magnitude and distribution of von Mises stress in the periodontal ligament were compared for each condition. Results: The maximum von Mises stress in the periodontal ligament was 0.013281 MPa in the 50 g condition, 0.02536 MPa in the 100 g condition, and 0.035549 MPa in the 150 g condition. As the orthodontic force increased, the stress distribution area in the periodontal ligament also expanded. Conclusion: A 100 g orthodontic force is the most suitable when using long-arm brackets, providing a relatively uniform stress distribution in the periodontal ligament and keeping the stress within a reasonable range. 展开更多
关键词 Orthodontic Force Tooth Movement finite Element Analysis Periodontal Ligament Stress
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The well-posedness of incompressible impinging jet flow in an axisymmetric finitely long nozzle
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作者 WANG Xin ZHANG Fan 《四川大学学报(自然科学版)》 北大核心 2025年第1期31-37,共7页
This paper mainly studies the well-posedness of steady incompressible impinging jet flow problem through a 3D axisymmetric finitely long nozzle.This problem originates from the physical phenomena encountered in practi... This paper mainly studies the well-posedness of steady incompressible impinging jet flow problem through a 3D axisymmetric finitely long nozzle.This problem originates from the physical phenomena encountered in practical engineering fields,such as in short take-off and vertical landing(STOVL)aircraft.Nowadays many intricate phenomena associated with impinging jet flows remain inadequately elucidated,which limits the ability to optimize aircraft design.Given a boundary condition in the inlet,the impinging jet problem is transformed into a Bernoulli-type free boundary problem according to the stream function.Then the variational method is used to study the corresponding variational problem with one parameter,thereby the wellposedness is established.The main conclusion is as follows.For a 3D axisymmetric finitely long nozzle and an infinitely long vertical wall,given an axial velocity in the inlet of nozzle,there exists a unique smooth incom‑pressible impinging jet flow such that the free boundary initiates smoothly at the endpoint of the nozzle and extends to infinity along the vertical wall at far fields.The key point is to investigate the regularity of the corner where the nozzle and the vertical axis intersect. 展开更多
关键词 Existence and uniqueness Impinging jet flow Incompressible flow Free boundary Axisym-metric finitely long nozzle
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Research on structural design and mechanical properties of precision electroplating machinery for automobiles based on finite element analysis
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作者 Wang Jie Jiang Xiaobei 《电镀与精饰》 北大核心 2025年第11期10-21,共12页
Design a precision electroplating mechanical structure for automobiles based on finite element analysis method and analyze its mechanical properties.Taking the automobile steering knuckle as the research object,ABAQUS... Design a precision electroplating mechanical structure for automobiles based on finite element analysis method and analyze its mechanical properties.Taking the automobile steering knuckle as the research object,ABAQUS parametric modeling technology is used to construct its three-dimensional geometric model,and geometric simplification is carried out.Two surface treatment processes,HK-35 zinc nickel alloy electroplating and pure zinc electroplating,were designed,and the influence of different coatings on the mechanical properties of steering knuckles was compared and analyzed through numerical simulation.At the same time,standard specimens were prepared for salt spray corrosion testing and scratch method combined strength testing to verify the numerical simulation results.The results showed that under emergency braking and composite working conditions,the peak Von Mises stress of the zinc nickel alloy coating was 119.85 MPa,which was lower than that of the pure zinc coating and the alkaline electroplated zinc layer.Its equivalent strain value was 652×10^(-6),which was lower than that of the pure zinc coating and the alkaline electroplated zinc layer.Experimental data confirms that zinc nickel alloy coatings exhibit significant advantages in stress distribution uniformity,strain performance,and load-bearing capacity in high stress zones.The salt spray corrosion test further indicates that the coating has superior corrosion resistance and coating substrate interface bonding strength,which can significantly improve the mechanical stability and long-term reliability of automotive precision electroplating mechanical structures. 展开更多
关键词 finite element analysis electroplating machinery structure mechanical properties electroplating process salt spray corrosion bonding strength
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3D slope stability analysis considering strength anisotropy by a microstructure tensor enhanced elasto-plastic finite element method 被引量:1
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作者 Wencheng Wei Hongxiang Tang +1 位作者 Xiaoyu Song Xiangji Ye 《Journal of Rock Mechanics and Geotechnical Engineering》 2025年第3期1664-1684,共21页
This article presents a micro-structure tensor enhanced elasto-plastic finite element(FE)method to address strength anisotropy in three-dimensional(3D)soil slope stability analysis.The gravity increase method(GIM)is e... This article presents a micro-structure tensor enhanced elasto-plastic finite element(FE)method to address strength anisotropy in three-dimensional(3D)soil slope stability analysis.The gravity increase method(GIM)is employed to analyze the stability of 3D anisotropic soil slopes.The accuracy of the proposed method is first verified against the data in the literature.We then simulate the 3D soil slope with a straight slope surface and the convex and concave slope surfaces with a 90turning corner to study the 3D effect on slope stability and the failure mechanism under anisotropy conditions.Based on our numerical results,the end effect significantly impacts the failure mechanism and safety factor.Anisotropy degree notably affects the safety factor,with higher degrees leading to deeper landslides.For concave slopes,they can be approximated by straight slopes with suitable boundary conditions to assess their stability.Furthermore,a case study of the Saint-Alban test embankment A in Quebec,Canada,is provided to demonstrate the applicability of the proposed FE model. 展开更多
关键词 Strength anisotropy Elasto-plastic finite element method(FEM) Three-dimensional(3D)soil slope Gravity increase method(GIM) Stability analysis Case study
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