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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

Analytical solution for determining wall closure associated with stope excavation underneath sill mat constructed by cemented backfill: 《Journal of Rock Mechanics and Geotechnical Engineering》2025年第2期983-995,共13页Chuan Fan Li Li Xiaocong Yang Guangsheng Liu Lijie Guo Jing Tang; financial support from the Young Scientist Project of the National Key Research and Development Program of China(Grant No.2021YFC2900600);the Beijing Nova Program(Grant No.20220484057);The authors acknowledge the financial support from the Natural Sciences and Engineering Research Council of Canada(Grant No.RGPIN-2018-06902);industrial partners of the Research Institute on Mines and the Environment(RIME UQAT-Polytechnique:https://irme.ca/en/).; In the underhand cut-and-fill mining method,a sill mat(i.e.an artificial horizontal pillar)constructed by cemented backfill is essential to prevent mine workers from being directly exposed under problematic rock roofs...; 关键词：Underhand cut-and-fill mining BACKFILL Wall closure Analytical solution FLAC3D Flamant model

Analytical solution for estimating the minimum required strength of sill mat by considering failure due to rock wall closure: 《Journal of Rock Mechanics and Geotechnical Engineering》2025年第2期996-1007,共12页Chuan Fan Li Li Guangsheng Liu Xiaocong Yang Lijie Guo Jing Tang; financial support from the Young Scientist Project of the National Key Research and Development Program of China(Grant No.2021YFC2900600);Beijing Nova Program(Grant No.20220484057);The authors acknowledge the financial support from the Natural Sciences and Engineering Research Council of Canada(Grant No.RGPIN-2018-06902);industrial partners of the Research Institute on Mines and the Environment(RIME UQAT-Polytechnique:https://irme.ca/en/).; Underhand cut-and-fill mining has been widely used in underground mining operations,especially when the rock mass or orebody is of poor quality or prone to rockburst due to high stress.In such cases,mining workers sho...; 关键词：Underhand cut-and-fill mining Cemented backfill Wall closure CRUSHING Required strength Analytical solution

Analytical study on the mechanical behavior of longitudinal joints in shield tunnel strengthened by a steel ultra-high performance concrete composite: 《Frontiers of Structural and Civil Engineering》2025年第2期207-223,共17页Renpeng CHEN Meng FAN Hongzhan CHENG Huaina WU Yang ZHANG Binyong GAO; support of National Natural Science Foundation of China(Grant Nos.51938005,52090082,and 52378395).; A mechanical calculation model for longitudinal joints strengthened by steel ultra-high performance concrete (UHPC) composites was first proposed and validated against the numerical results. This method can continuous...; 关键词：longitudinal joint analytical solution strengthening mechanism steel UHPC composite

Deformation analysis of ground and existing tunnel induced by overlapped curved shield tunneling: 《Journal of Rock Mechanics and Geotechnical Engineering》2025年第2期795-809,共15页Yingnan Liu Huayang Lei Liang Shi Gang Zheng Mengting Wang; financially supported by the National Natural Science Foundation of China(Grant No.52078334);the National Key Research and Development Program of China(Grant No.2017YFC0805402);the Tianjin Research Innovation Project for Postgraduate Students(Grant No.2021YJSB141).; The deformation caused by tunnel excavation is quite important for safety,especially when it is adjacent to the existing tunnel.Nevertheless,the investigation of deformation characteristics in overlapped curved shield...; 关键词：Overlapped curved shield tunneling Analytical solution Ground deformation Existing tunnel Overcutting mode

General Solutions’ Laws of Nonlinear Partial Differential Equations: 《Journal of Applied Mathematics and Physics》2025年第1期166-208,共43页Honglai Zhu; In previous papers, we proposed the important Ztransformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time. In this paper, we will use ...; 关键词：TRANSFORMATION Nonlinear Partial Differential Equations Analytical Solution General Solution Definite Solution Problems

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

Symplectic solutions for orthotropic micropolar plane stress problem: 《Acta Mechanica Sinica》2025年第1期106-127,共22页Long Chen Zhaofei Tang Qiong Wu Qiang Gao; supported by the National Key R&D Program of China (Grant No.2022YFB4201200);Technology Major Project (Grant No.J2019-IV-0019-0087);National Science and Technology Major Project (Grant No.J2019-IV-0019-0087).; The symplectic approach was utilized to derive solutions to the orthotropic micropolar plane stress problem.The Hamiltonian canonical equation was first obtained by applying Legendre’s transformation and the Hamilton...; 关键词：Symplectic approach MICROPOLAR Orthotropic materials Size effect Analytical solution

Exact quantum dynamics for two-level systems with time-dependent driving: 《Chinese Physics B》2024年第12期79-85,共7页Zhi-Cheng He Yi-Xuan Wu Zheng-Yuan Xue; supported by the National Natural Science Foundation of China(Grant No.12275090);the Guangdong Provincial Quantum Science Strategic Initiative(Grant No.GDZX2203001);the Innovation Program for Quantum Science and Technology(Grant No.2021ZD0302303)。; It is well known that the time-dependent Schrrödinger equation can only be solved exactly in very rare cases,even for two-level quantum systems.Thus,finding the exact quantum dynamics under a time-dependent Hamiltonia...; 关键词：quantum computation quantum control analytical solution

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