ANALYTICAL_SOLUTION

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相关作者:董陇军李夕兵严林隽梁建文陈光辉更多>>
相关机构:天津大学中南大学南加州大学北京理工大学更多>>
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Analytical solution for the fracture problem in superconducting tapes with oblique cracks under the electromagnetic force
《Applied Mathematics and Mechanics(English Edition)》2025年第3期485-500,共16页Jinjian XIE Zhaoxia ZHANG Pengpeng SHI Xiaofan GOU 
Project supported by the National Natural Science Foundation of China (Nos. 12232005 and 12072101);the Ningxia Natural Science Foundation of China (No. 2024AAC04004)。
The fracture behavior of superconducting tapes with central and edge oblique cracks subject to electromagnetic forces is investigated. Maxwell's equations and the critical state-Bean model are used to analytically det...
关键词:superconducting tape electromagnetic body force integral equation distributed dislocation technique(DDT) oblique crack stress intensity factor(SIF) 
New analytical solutions for free vibration of embedded magneto-electro-elastic cylindrical shells with step-wise thickness variations
《Applied Mathematics and Mechanics(English Edition)》2025年第3期447-466,共20页Jufang JIA Huilin YIN Qinyu YU Jiabin SUN Xinsheng XU Zhenhuan ZHOU 
Project supported by the Science and Technology Plan Joint Program of Liaoning Province of China(Natural Science Foundation-Doctoral Research Launch Project)(No.2024-BSLH-027);the Fundamental Research Funds for Undergraduate Universities of Liaoning Province of China(No.LJBKY2024033);the National Natural Science Foundation of China(No.12472064);the Natural Science Foundation of Liaoning Province of China(No.2023-MS-118)。
In recent years,magneto-electro-elastic(MEE)cylindrical shells with step-wise thicknesses have shown significant potential in the field of vibration energy harvesting.To aid the design of such energy harvesting device...
关键词:analytical solution free vibration magneto-electro-elastic(MEE)material cylindrical shell with variable thickness symplectic method 
Transport mechanism in chemically reactive hybrid nanofluid flow containing gyrotactic micro-organisms over a curved oscillatory surface
《Applied Mathematics and Mechanics(English Edition)》2025年第1期177-192,共16页M.NAVEED M.IMRAN T.ASGHAR Z.ABBAS 
This paper examines the transport analysis,including both heat transfer and mass transfer,in hybrid nanofluid flow containing gyrotactic microorganisms towards a curved oscillatory surface.The influence of magnetic fi...
关键词:hybrid nanofuid oscillating curved stretchable sheet gyrotactic microorganism Cattaneo-Christov heat and mass flux chemical reaction analytical solution 
Analytical modeling of piezoelectric meta-beams with unidirectional circuit for broadband vibration attenuation
《Applied Mathematics and Mechanics(English Edition)》2024年第10期1665-1684,共20页Jiawei MAO Hao GAO Junzhe ZHU Penglin GAO Yegao QU 
Project supported by the National Natural Science Foundation of China (Nos. U2141244, 11932011,12393781, 12121002, and 12202267);supported by the Oceanic Interdisciplinary Program of Shanghai Jiao Tong University(No.SL2021ZD104);the Science and Technology Cooperation Project of Shanghai Jiao Tong University&Inner Mongolia Autonomous Region-Action Plan of Shanghai Jiao Tong University for“Science and Technology Prosperity”(No.2022XYJG0001-01-08);the Industryuniversity-research Cooperation Fund of Shanghai Academy of Spaceflight Technology(No.USCAST2021-11);Shanghai Pujiang Program(No.22PJ1405300);Young Talent Reservoir of CSTAM(No.CSTAM2022-XSC-QN1);the Starting Grant of Shanghai Jiao Tong University(No.WH220402014).
Broadband vibration attenuation is a challenging task in engineering since it is difficult to achieve low-frequency and broadband vibration control simultaneously.To solve this problem,this paper designs a piezoelectr...
关键词:broadband vibration attenuation efficient closed-form analytical solution electromechanical coupling piezoelectric material vibration control 
On an isotropic porous solid cylinder:the analytical solution and sensitivity analysis of the pressure
《Applied Mathematics and Mechanics(English Edition)》2024年第9期1499-1522,共24页H.ASGHARI L.MILLER R.PENTA J.MERODIO 
Project supported by the Engineering and Physical Sciences Research Council of U. K.(Nos. EP/S030875/1, EP/T017899/1, and EP/T517896/1)。
Within this work,we perform a sensitivity analysis to determine the influence of the material input parameters on the pressure in an isotropic porous solid cylinder.We provide a step-by-step guide to obtain the analyt...
关键词:sensitivity analysis Laplace transform cylindrical polar coordinate Biot's modulus CYLINDER 
On the analytical solution of transient friction in channel flows
《Applied Mathematics and Mechanics(English Edition)》2024年第8期1447-1466,共20页F.J.GARCíA-GARCíA P.FARINAS-ALVARINO 
The transient friction in channel mean flows is the sum of two contributions,i.e.,the underlying laminar flow(ULF)and the purely turbulent component(PTC),and the contributions are analyzed separately by theoretical ex...
关键词:transient friction transient flow unsteady channel flow 
Deep bed filtration model for cake filtration and erosion
《Applied Mathematics and Mechanics(English Edition)》2024年第2期355-372,共18页L.I.KUZMINA Y.V.OSIPOV A.R.PESTEREV 
Many phenomena in nature and technology are associated with the filtration of suspensions and colloids in porous media. Two main types of particle deposition,namely, cake filtration at the inlet and deep bed filtratio...
关键词:deep bed filtration cake filtration porous medium particle deposition and erosion analytical solution concentration front 
Fundamental solutions of critical wedge angles for one-dimensional piezoelectric quasicrystal wedge被引量:1
《Applied Mathematics and Mechanics(English Edition)》2022年第5期709-728,共20页Xiang MU Xiaoyu FU Liangliang ZHANG Zhaowei ZHU Jinming ZHANG Yang GAO 
Project supported by the National Natural Science Foundation of China(Nos.11972365,12102458,11972354);the China Agricultural University Education Foundation(No.1101-2412001)。
Two problems of a one-dimensional(1D)piezoelectric quasicrystal(QC)wedge are investigated,i.e.,the two sides of the wedge subject to uniform tractions and the wedge apex subject to the concentrated force.By virtue of ...
关键词:quasicrystal(QC) WEDGE piezoelectric effect critical angle analytical solution 
Prelithiation design for suppressing delamination in lithium-ion battery electrodes
《Applied Mathematics and Mechanics(English Edition)》2021年第12期1703-1716,共14页Yifei QIAN Bo LU Yinhua BAO Yanfei ZHAO Yicheng SONG Junqian ZHANG 
the National Natural Science Foundation of China(Nos.12072183,11872236 and 12172205)。
Prelithiation has been intensively investigated in high-capacity lithiumion batteries(LIBs).However,the optimization of prelithiation degrees for long service life of LIBs still remains a challenge.The positive effect...
关键词:prelithiation DELAMINATION ELECTRODE concentration-dependent property analytical solution 
Analytical solution for the stress field of hierarchical defects:multiscale framework and applications
《Applied Mathematics and Mechanics(English Edition)》2021年第2期183-208,共26页Baijian WU Sheng ZHOU Zhaoxia LI 
the National Natural Science Foundation of China(No.51878154);the National Program on Major Research Project of China(No.2016YFC0701301)。
Hierarchical defects are defined as adjacent defects at different length scales.Involved are the two scales where the stress field distribution is interrelated.Based on the complex variable method and conformal mappin...
关键词:hierarchical defect stress field multiscale framework scale separation complex variable method elliptic crack edge defect 
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