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INTEGRAL_EQUATION: 作品数：231被引量：222H指数：6; 导出分析报告; 相关作者：刘岩李功胜余海涛苏京勋刘继军更多>>; 相关机构：福州大学东南大学北京理工大学黄河水利职业技术学院更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

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)

Partial wetting of the soft elastic graded substrate due to elastocapillary deformation: 《Applied Mathematics and Mechanics(English Edition)》2023年第8期1409-1422,共14页Xu WANG Hailiang MA Yonglin YANG Xing LI Yueting ZHOU; supported by the National Natural Science Foundation of China(Nos.12272195,12272269 and 12262033)。; Surface tension plays a central role in the mechanical behavior of soft materials such as gels.Elastocapillary deformation of elastic graded substrates is ubiquitous in soft materials.In this work,the effect of a part...; 关键词：elastocapillary deformation partial wetting GRADIENT integral equation

Investigation on nonlinear multi-scale effects of unsteady flow in hydraulic fractured horizontal shale gas wells被引量：2: 《Applied Mathematics and Mechanics(English Edition)》2018年第2期181-192,共12页Jiaxuan LIU Xinchun SHANG Weiyao ZHU; supported by the National Basic Research Program of China(973 Program)(No.2013CB228002); A unified mathematical model is established to simulate the nonlinear unsteady percolation of shale gas with the consideration of the nonlinear multi-scale effects such as slippage, diffusion, and desorption. The cont...; 关键词：shale gas nonlinear effect multi-scale percolation inhomogeneous perme ability integral equation

Mechanical quadrature methods and extrapolation for solving nonlinear boundary Helmholtz integral equations: 《Applied Mathematics and Mechanics(English Edition)》2011年第12期1505-1514,共10页程攀黄晋王柱; supported by the National Natural Science Foundation of China(No.10871034);the Natural Science Foundation Project of Chongqing(No.CSTC20-10BB8270);the Air Force Office of Scientific Research(No.FA9550-08-1-0136);the National Science Foundation(No.OCE-0620464); This paper presents mechanical quadrature methods （MQMs） for solving nonlinear boundary Helmholtz integral equations. The methods have high accuracy of order O（h3） and low computation complexity. Moreover, the mec...; 关键词：Helmholtz equation mechanical quadrature method Newton iteration nonlinear boundary condition

Quasi-Green’s function method for free vibration of clamped thin plates on Winkler foundation: 《Applied Mathematics and Mechanics(English Edition)》2011年第3期265-276,共12页李善倾袁鸿; The quasi-Green＇s function method is used to solve the free vibration problem of clamped thin plates on the Winkler foundation. Quasi-Green＇s function is established by the fundamental solution and the boundary equa...; 关键词：Green＇s function integral equation clamped thin plate Winkler foundation free vibration

Quasi-Green’s function method for free vibration of simply-supported trapezoidal shallow spherical shell: 《Applied Mathematics and Mechanics(English Edition)》2010年第5期635-642,共8页李善倾袁鸿; The idea of quasi-Green＇s function method is clarified by considering a free vibration problem of the simply-supported trapezoidal shallow spherical shell. A quasi- Green＇s function is established by using the funda...; 关键词：Green function integral equation shallow spherical shell free vibration

Intuitionistic Menger inner product spaces and applications to integral equations: 《Applied Mathematics and Mechanics(English Edition)》2010年第4期415-424,共10页张石生 M.GOUDARZI R.SAADATI S.M.VAEZPOUR; Project supported by the Natural Science Foundation of Yibin University (No. 2009Z01); In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the result...; 关键词：intuitionistic Menger inner product space Volterra integral equation h-type t-norm fixed point theorem

Green quasifunction method for vibration of simply-supported thin polygonic plates on Pasternak foundation: 《Applied Mathematics and Mechanics(English Edition)》2007年第7期847-853,共7页袁鸿李善倾刘人怀; Project supported by the Key Laboratory of Disaster Forecast and Control in Engineering,Ministry of Education of China the Key Laboratory of Diagnosis of Fault in Engineering Structures of Guangdong Province of China; A new numerical method-Green quasifunction is proposed. The idea of Green quasifunction method is clarified in detail by considering a vibration problem of simply-supported thin polygonic plates on Pasternak foundatio...; 关键词：Green function integral equation vibration of thin plates Pasternak foundation

Dual equations and solutions of I-type crack of dynamic problems in piezoelectric materials: 《Applied Mathematics and Mechanics(English Edition)》2007年第6期731-739,共9页边文凤王彪; This paper firstly works out basic differential equations of piezoelectric materials expressed in terms of potential functions, which are introduced in the very beginning. These equations are primarily solved through ...; 关键词：piezoelectric material dynamic crack potential function coupled integral equation integral transformation

Nonlinear vibration of corrugated shallow shells under uniform load: 《Applied Mathematics and Mechanics(English Edition)》2007年第5期573-580,共8页袁鸿刘人怀; Based on the large deflection dynamic equations of axisymmetric shallow shells of revolution, the nonlinear forced vibration of a corrugated shallow shell under uniform load is investigated. The nonlinear partial diff...; 关键词：corrugated shells spherical shells Green＇s function integral equation nonlinear vibration

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