Applied Mathematics and Mechanics-English Edition最新文献

筛选
英文 中文
High-order targeted essentially non-oscillatory scheme for two-fluid plasma model 双流体等离子体模型的高阶目标本质无振荡格式
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-05-30 DOI: 10.1007/s10483-023-3003-6
Yuhang Hou, Ke Jin, Yongliang Feng, Xiaojing Zheng
{"title":"High-order targeted essentially non-oscillatory scheme for two-fluid plasma model","authors":"Yuhang Hou,&nbsp;Ke Jin,&nbsp;Yongliang Feng,&nbsp;Xiaojing Zheng","doi":"10.1007/s10483-023-3003-6","DOIUrl":"10.1007/s10483-023-3003-6","url":null,"abstract":"<div><p>The weakly ionized plasma flows in aerospace are commonly simulated by the single-fluid model, which cannot describe certain nonequilibrium phenomena by finite collisions of particles, decreasing the fidelity of the solution. Based on an alternative formulation of the targeted essentially non-oscillatory (TENO) scheme, a novel high-order numerical scheme is proposed to simulate the two-fluid plasmas problems. The numerical flux is constructed by the TENO interpolation of the solution and its derivatives, instead of being reconstructed from the physical flux. The present scheme is used to solve the two sets of Euler equations coupled with Maxwell’s equations. The numerical methods are verified by several classical plasma problems. The results show that compared with the original TENO scheme, the present scheme can suppress the non-physical oscillations and reduce the numerical dissipation.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 6","pages":"941 - 960"},"PeriodicalIF":4.4,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3003-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Lattice Boltzmann simulation of the effects of cavity structures and heater thermal conductivity on nucleate boiling heat transfer 空腔结构和加热器导热系数对核沸腾传热影响的格子Boltzmann模拟
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-05-30 DOI: 10.1007/s10483-023-2982-7
Fanming Cai, Zhaomiao Liu, Nan Zheng, Yanlin Ren, Yan Pang
{"title":"Lattice Boltzmann simulation of the effects of cavity structures and heater thermal conductivity on nucleate boiling heat transfer","authors":"Fanming Cai,&nbsp;Zhaomiao Liu,&nbsp;Nan Zheng,&nbsp;Yanlin Ren,&nbsp;Yan Pang","doi":"10.1007/s10483-023-2982-7","DOIUrl":"10.1007/s10483-023-2982-7","url":null,"abstract":"<div><p>The boiling heat transfer technology with cavity surfaces can provide higher heat flux under lower wall superheat, which is of great significance for the cooling of electronic chips and microelectromechanical devices. In this paper, the boiling characteristics of the cavity surfaces are investigated based on the lattice Boltzmann (LB) method, focusing on the effects of cavity shapes, sizes, and heater thermal conductivity on the heat transfer performance. The results show that the triangular cavity has the best boiling performance since it has less residual vapor and higher bubble departure frequency than those of the trapezoidal and rectangular cavities. As the cavity size increases, the enhancement of heat transfer by the cavity mouth is suppressed by the heat accumulation effect at the heater bottom. The liquid rewetting process during bubble departure is the reason for the fluctuation of the space-averaged heat flux, and the heater thermal conductivity determines the fluctuation amplitude. The evaporation of liquid in the cavity with high thermal conductivity walls is more intense, resulting in shorter waiting time and higher bubble departure frequency.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 6","pages":"981 - 996"},"PeriodicalIF":4.4,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Vibration and sound transmission loss characteristics of porous foam functionally graded sandwich panels in thermal environment 热环境下多孔泡沫功能梯度夹芯板的振动和传声损失特性
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-05-30 DOI: 10.1007/s10483-023-3004-7
Wenhao Yuan, Haitao Liao, Ruxin Gao, Fenglian Li
{"title":"Vibration and sound transmission loss characteristics of porous foam functionally graded sandwich panels in thermal environment","authors":"Wenhao Yuan,&nbsp;Haitao Liao,&nbsp;Ruxin Gao,&nbsp;Fenglian Li","doi":"10.1007/s10483-023-3004-7","DOIUrl":"10.1007/s10483-023-3004-7","url":null,"abstract":"<div><p>This study investigates the vibration and acoustic properties of porous foam functionally graded (FG) plates under the influence of the temperature field. The dynamics equations of the system are established based on Hamilton’s principle by using the higher-order shear deformation theory under the linear displacement-strain assumption. The displacement shape function is assumed according to the four-sided simply-supported (SSSS) boundary condition, and the characteristic equations of the system are derived by combining the motion control equations. The theoretical model of vibro-acoustic coupling is established by using the acoustic theory and fluid-structure coupling solution method under the simple harmonic acoustic wave. The system’s natural frequency and sound transmission loss (STL) are obtained through programming calculations and compared with the literature and COMSOL simulation to verify the validity and reliability of the theoretical model. The effects of various factors, such as temperature, porosity coefficients, gradient index, core thickness, width-to-thickness ratio on the vibration, and STL characteristics of the system, are discussed. The results provide a theoretical basis for the application of porous foam FG plates in engineering to optimize vibration and sound transmission properties.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 6","pages":"897 - 916"},"PeriodicalIF":4.4,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055423","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Linear analysis of the dynamic response of a riser subject to internal solitary waves 内孤立波作用下隔水管动力响应的线性分析
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-05-30 DOI: 10.1007/s10483-023-3006-9
Dalin Tan, Xu Wang, Jinlong Duan, Jifu Zhou
{"title":"Linear analysis of the dynamic response of a riser subject to internal solitary waves","authors":"Dalin Tan,&nbsp;Xu Wang,&nbsp;Jinlong Duan,&nbsp;Jifu Zhou","doi":"10.1007/s10483-023-3006-9","DOIUrl":"10.1007/s10483-023-3006-9","url":null,"abstract":"<div><p>The flow field induced by internal solitary waves (ISWs) is peculiar wherein water motion occurs in the whole water depth, and the strong shear near the pycnocline can be generated due to the opposite flow direction between the upper and lower layers, which is a potential threat to marine risers. In this paper, the flow field of ISWs is obtained with the Korteweg-de Vries (KdV) equation for a two-layer fluid system. Then, a linear analysis is performed for the dynamic response of a riser with its two ends simply supported under the action of ISWs. The explicit expressions of the deflection and the moment of the riser are deduced based on the modal superposition method. The applicable conditions of the theoretical expressions are discussed. Through comparisons with the finite element simulations for nonlinear dynamic responses, it is proved that the theoretical expressions can roughly reveal the nonlinear dynamic response of risers under ISWs when the approximation for the linear analysis is relaxed to some extent.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 6","pages":"1023 - 1034"},"PeriodicalIF":4.4,"publicationDate":"2023-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3006-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50055450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Axisymmetric wetting of a liquid droplet on a stretched elastic membrane 液滴在拉伸弹性膜上的轴对称润湿
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-05-22 DOI: 10.1007/s10483-023-3002-9
C. Q. Ru
{"title":"Axisymmetric wetting of a liquid droplet on a stretched elastic membrane","authors":"C. Q. Ru","doi":"10.1007/s10483-023-3002-9","DOIUrl":"10.1007/s10483-023-3002-9","url":null,"abstract":"<div><p>Wetting of a liquid droplet on another liquid substrate is governed by the well-known Neumann equations. The present work aims to develop an explicit modified version of the Neumann equations for axisymmetric wetting of a liquid droplet on a highly stretched elastic membrane of non-zero bending rigidity. An explicit modified form of the Neumann equations is derived to determine the two contact angles, which is reduced to Young’s equation for a liquid droplet on a rigid membrane or to the Neumann equations for a liquid droplet on another liquid substrate. Further implications of the modified Neumann equations are examined by comparison with some previous results reported in the recent literature, particularly considering the ranges of material and geometrical parameters of the liquid droplet-membrane system which have not been recently addressed in the literature.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 6","pages":"997 - 1006"},"PeriodicalIF":4.4,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50042203","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vibration isolation performance analysis of a bilateral supported bio-inspired anti-vibration control system 双支撑式仿生减振控制系统的隔振性能分析
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-04-23 DOI: 10.1007/s10483-023-2988-6
Shihua Zhou, Dongsheng Zhang, Bowen Hou, Zhaohui Ren
{"title":"Vibration isolation performance analysis of a bilateral supported bio-inspired anti-vibration control system","authors":"Shihua Zhou,&nbsp;Dongsheng Zhang,&nbsp;Bowen Hou,&nbsp;Zhaohui Ren","doi":"10.1007/s10483-023-2988-6","DOIUrl":"10.1007/s10483-023-2988-6","url":null,"abstract":"<div><p>To achieve better anti-vibration performance in a low frequency region and expand the range of vibration isolation, a bilateral supported bio-inspired anti-vibration (BBAV) structure composed of purely linear elements is proposed, inspired by the motion form of bird legs and the nonlinear extension and compression of muscles and tendons. The kinematic relations and nonlinear dynamic model considering vertical and rotational vibrations are established. The loading capacity and equivalent stiffness are investigated with key parameters. The amplitude-frequency characteristics and force transmissibility are used to evaluate the stability and anti-vibration performance with the effects of the excitation amplitude, rod length, installation angle, and spring stiffness. The results show that the loading requirements and resonant characteristics of the BBAV structure are adjustable, and superior vibration isolation performance can be achieved readily by tuning the parameters. The X-shaped vibration structure is sensitive to the spring stiffness, which exhibits a wider vibration isolation bandwidth with smaller spring stiffness. Besides, depending on the parameters, the nonlinear behavior of the BBAV system can be interconverted between the softening type and the hardening type. The theoretical analysis in this study demonstrates the advantages and effectiveness of the vibration isolation structure.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 5","pages":"759 - 772"},"PeriodicalIF":4.4,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-2988-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50043516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A modified single edge V-notched beam method for evaluating surface fracture toughness of thermal barrier coatings 一种评价热障涂层表面断裂韧性的改进单边v形缺口梁法
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-04-23 DOI: 10.1007/s10483-023-3001-6
Haoran Bai, Zhanyu Wang, Sangyu Luo, Zhaoliang Qu, Daining Fang
{"title":"A modified single edge V-notched beam method for evaluating surface fracture toughness of thermal barrier coatings","authors":"Haoran Bai,&nbsp;Zhanyu Wang,&nbsp;Sangyu Luo,&nbsp;Zhaoliang Qu,&nbsp;Daining Fang","doi":"10.1007/s10483-023-3001-6","DOIUrl":"10.1007/s10483-023-3001-6","url":null,"abstract":"<div><p>The surface fracture toughness is an important mechanical parameter for studying the failure behavior of air plasma sprayed (APS) thermal barrier coatings (TBCs). As APS TBCs are typical multilayer porous ceramic materials, the direct applications of the traditional single edge notched beam (SENB) method that ignores those typical structural characters may cause errors. To measure the surface fracture toughness more accurately, the effects of multilayer and porous characters on the fracture toughness of APS TBCs should be considered. In this paper, a modified single edge V-notched beam (MSEVNB) method with typical structural characters is developed. According to the finite element analysis (FEA), the geometry factor of the multilayer structure is recalculated. Owing to the narrower V-notches, a more accurate critical fracture stress is obtained. Based on the Griffith energy balance, the reduction of the crack surface caused by micro-defects is corrected. The MSEVNB method can measure the surface fracture toughness more accurately than the SENB method.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 5","pages":"693 - 710"},"PeriodicalIF":4.4,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-3001-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50043521","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nonlocal stress gradient formulation for damping vibration analysis of viscoelastic microbeam in thermal environment 热环境下粘弹性微梁阻尼振动分析的非局部应力梯度公式
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-04-23 DOI: 10.1007/s10483-023-2981-7
Hai Qing, Huidiao Song
{"title":"Nonlocal stress gradient formulation for damping vibration analysis of viscoelastic microbeam in thermal environment","authors":"Hai Qing,&nbsp;Huidiao Song","doi":"10.1007/s10483-023-2981-7","DOIUrl":"10.1007/s10483-023-2981-7","url":null,"abstract":"<div><p>An integral nonlocal stress gradient viscoelastic model is proposed on the basis of the integral nonlocal stress gradient model and the standard viscoelastic model, and is utilized to investigate the free damping vibration analysis of the viscoelastic Bernoulli-Euler microbeams in thermal environment. Hamilton’s principle is used to derive the differential governing equations and corresponding boundary conditions. The integral relations between the strain and the nonlocal stress are converted into a differential form with constitutive constraints. The size-dependent axial thermal stress due to the variation of the environmental temperature is derived explicitly. The Laplace transformation is utilized to obtain the explicit expression for the bending deflection and moment. Considering the boundary conditions and constitutive constraints, one can get a nonlinear equation with complex coefficients, from which the complex characteristic frequency can be determined. A two-step numerical method is proposed to solve the elastic vibration frequency and the damping ratio. The effects of length scale parameters, viscous coefficient, thermal stress, vibration order on the vibration frequencies, and critical viscous coefficient are investigated numerically for the viscoelastic Bernoulli-Euler microbeams under different boundary conditions.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 5","pages":"773 - 786"},"PeriodicalIF":4.4,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50043515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The quaternion beam model for hard-magnetic flexible cantilevers 硬磁柔性悬臂梁的四元数梁模型
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-04-23 DOI: 10.1007/s10483-023-2983-8
Wei Chen, Guozhen Wang, Yiqun Li, Lin Wang, Zhouping Yin
{"title":"The quaternion beam model for hard-magnetic flexible cantilevers","authors":"Wei Chen,&nbsp;Guozhen Wang,&nbsp;Yiqun Li,&nbsp;Lin Wang,&nbsp;Zhouping Yin","doi":"10.1007/s10483-023-2983-8","DOIUrl":"10.1007/s10483-023-2983-8","url":null,"abstract":"<div><p>The recently developed hard-magnetic soft (HMS) materials manufactured by embedding high-coercivity micro-particles into soft matrices have received considerable attention from researchers in diverse fields, e.g., soft robotics, flexible electronics, and biomedicine. Theoretical investigations on large deformations of HMS structures are significant foundations of their applications. This work is devoted to developing a powerful theoretical tool for modeling and computing the complicated nonplanar deformations of flexible beams. A so-called quaternion beam model is proposed to break the singularity limitation of the existing geometrically exact (GE) beam model. The singularity-free governing equations for the three-dimensional (3D) large deformations of an HMS beam are first derived, and then solved with the Galerkin discretization method and the trust-region-dogleg iterative algorithm. The correctness of this new model and the utilized algorithms is verified by comparing the present results with the previous ones. The superiority of a quaternion beam model in calculating the complicated large deformations of a flexible beam is shown through several benchmark examples. It is found that the purpose of the HMS beam deformation is to eliminate the direction deviation between the residual magnetization and the applied magnetic field. The proposed new model and the revealed mechanism are supposed to be useful for guiding the engineering applications of flexible structures.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 5","pages":"787 - 808"},"PeriodicalIF":4.4,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50043514","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Anti-plane pull-out of a rigid line inclusion from an elastic medium 反平面从弹性介质中拉出刚性线包体
IF 4.4 2区 工程技术
Applied Mathematics and Mechanics-English Edition Pub Date : 2023-04-23 DOI: 10.1007/s10483-023-2980-6
Yansong Wang, Baolin Wang, Youjiang Cui, Kaifa Wang
{"title":"Anti-plane pull-out of a rigid line inclusion from an elastic medium","authors":"Yansong Wang,&nbsp;Baolin Wang,&nbsp;Youjiang Cui,&nbsp;Kaifa Wang","doi":"10.1007/s10483-023-2980-6","DOIUrl":"10.1007/s10483-023-2980-6","url":null,"abstract":"<div><p>The transient and static anti-plane problem of a rigid line inclusion pulled out from an elastic medium is studied. The singular integral equation method is used to solve the stress field. Under the static load, the stress intensity factor (SIF) at the inclusion tips increases with the medium length. The problem becomes equivalent to an inclusion in a medium with an infinite length when the length of the medium is 3.5 times longer than that of the inclusion. However, under the transient load, the maximum value of the SIF occurs when the medium length is about two times the inclusion length. Besides, the relation between the pull-out force and the anti-plane displacement is given. The conclusions are useful in guiding the design of fiber reinforced composite materials.</p></div>","PeriodicalId":55498,"journal":{"name":"Applied Mathematics and Mechanics-English Edition","volume":"44 5","pages":"809 - 822"},"PeriodicalIF":4.4,"publicationDate":"2023-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10483-023-2980-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"50043519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信