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学者姓名：郑宏
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摘要 ：
The numerical manifold method (NMM) introduces the mathematical and physical cover to solve both continuum and discontinuum problems in a unified manner. In this study, the NMM for solving steady-state nonlinear heat conduction problems is presented, and heat conduction problems consider both convection and radiation boundary conditions. First, the nonlinear governing equation of thermal conductivity, which is dependent on temperature, is transformed into the Laplace equation by introducing the Kirchhoff transformation. The transformation reserves linearity of both the Dirichlet and the Neumann boundary conditions, but the Robin and radiation boundary conditions remain nonlinear. Second, the NMM is employed to solve the Laplace equation using a simple iteration procedure because the nonlinearity focuses on parts of the problem domain boundaries. Finally, the temperature field is retrieved through the inverse Kirchhoff transformation. Typical examples are analyzed, demonstrating the advantages of the Kirchhoff transformation over the direct solution of nonlinear equations using the Newton-Raphson method. This study provides a new method for calculating nonlinear heat conduction.
关键词 ：
convection and radiation boundary conditions convection and radiation boundary conditions numerical manifold method numerical manifold method temperature-dependent thermal conductivity temperature-dependent thermal conductivity nonlinear heat conduction nonlinear heat conduction Kirchhoff transformation Kirchhoff transformation
引用：
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| GB/T 7714 | Zhang, LiMei , Kong, Heng , Zheng, Hong . Numerical manifold method for steady-state nonlinear heat conduction using Kirchhoff transformation [J]. | SCIENCE CHINA-TECHNOLOGICAL SCIENCES , 2023 , 67 (4) : 992-1006 . |
| MLA | Zhang, LiMei 等. "Numerical manifold method for steady-state nonlinear heat conduction using Kirchhoff transformation" . | SCIENCE CHINA-TECHNOLOGICAL SCIENCES 67 . 4 (2023) : 992-1006 . |
| APA | Zhang, LiMei , Kong, Heng , Zheng, Hong . Numerical manifold method for steady-state nonlinear heat conduction using Kirchhoff transformation . | SCIENCE CHINA-TECHNOLOGICAL SCIENCES , 2023 , 67 (4) , 992-1006 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
In this study, the moving least squares based numerical manifold method (MLS-NMM) is firstly applied to discretize three-dimensional (3D) steady heat conduction problems of functionally graded materials (FGMs). In the 3D MLS-NMM, the influence domains of nodes in the moving least squares (MLS) are used as the mathematical patches to construct the mathematical cover (MC); while the shape functions of MLS-nodes as the weight functions subordinate to the MC. Compared with the traditional NMM using finite elements to form the MC, the cutting operations in generating the physical cover are unnecessary and the computation complexity is decreased significantly. Based on the Galerkin method, the discrete form of 3D heat conduction is derived. Finally, a series of numerical experiments concerning steady heat conduction problems are performed, suggesting that the proposed MLS-NMM enjoys advantages of both MLS and NMM in solving steady heat conduction.
关键词 ：
Three-dimensional steady heat conduction Three-dimensional steady heat conduction manifold method manifold method problem problem Moving least squares Moving least squares Moving least squares based numerical Moving least squares based numerical Numerical manifold method Numerical manifold method Functionally graded materials Functionally graded materials
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| GB/T 7714 | Zhang, Limei , Zheng, Hong , Liu, Feng . MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials [J]. | COMPUTERS & MATHEMATICS WITH APPLICATIONS , 2023 , 144 : 124-140 . |
| MLA | Zhang, Limei 等. "MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials" . | COMPUTERS & MATHEMATICS WITH APPLICATIONS 144 (2023) : 124-140 . |
| APA | Zhang, Limei , Zheng, Hong , Liu, Feng . MLS-based numerical manifold method for steady-state three-dimensional heat conduction problems of functionally graded materials . | COMPUTERS & MATHEMATICS WITH APPLICATIONS , 2023 , 144 , 124-140 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
In this study, the moving least squares based numerical manifold method (MLS-NMM) is presented to solve threedimensional (3D) transient heat conduction problems of functionally graded materials (FGMs), where the increment dimensional precise integration method (IPIM) is applied to integrate the ordinary differential equations derived from the semi-discrete form. In the 3D MLS-NMM, the influence domains of the MLS-nodes are taken as the mathematical patches which are used to construct the mathematical cover (MC), and the shape functions of the MLS-nodes are employed as the weight functions subordinate to the MC. MLS-NMM is utilized for spatial discretization of the weak form of the problem. The IPIM overcomes the shortcomings of traditional backward difference scheme dependent on the time step and greatly improves the computing efficiency. Meanwhile, a mass lumping technique is proposed for the 3D MLS-NMM. Furthermore, a number of numerical experiments on transient thermal conduction are conducted, suggesting that the 3D MLS-NMM based on IPIM and the proposed mass lumping has excellent accuracy, absolutely stable and high computing efficiency.
关键词 ：
Three-dimensional transient heat conduction Three-dimensional transient heat conduction Increment-dimensional precise integration method Increment-dimensional precise integration method Functionally graded materials Functionally graded materials Mass lumping Mass lumping Moving least squares based numerical manifold method Moving least squares based numerical manifold method
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| GB/T 7714 | Zhang, Limei , Zheng, Hong . MLS-based numerical manifold method based on IPIM for 3D transient heat conduction of FGMs [J]. | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER , 2023 , 217 . |
| MLA | Zhang, Limei 等. "MLS-based numerical manifold method based on IPIM for 3D transient heat conduction of FGMs" . | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 217 (2023) . |
| APA | Zhang, Limei , Zheng, Hong . MLS-based numerical manifold method based on IPIM for 3D transient heat conduction of FGMs . | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER , 2023 , 217 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
本发明提供一种锚尾锥及带锚尾锥的锚杆装置，属于岩土工程防护技术领域。该锚尾锥包括锥头和锥尾，锥头包括第一端面和第二端面，锥头在第一端面和第二端面之间，直径依次递增，锥尾包括第三端面和第四端面，锥尾在第三端面和第四端面之间，直径依次递减，锥头的第二端面与锥尾的第三端面对接，形成锚尾锥，锚尾锥的中心设有锚孔，锚孔为通孔。该带锚尾锥的锚杆装置包括筋体、承载垫板、止浆塞、限位螺母和该锚尾锥，筋体顶部设有第一外螺纹，承载垫板套设于第一外螺纹上，承载垫板被限位螺母和止浆塞夹持于中间；锚尾锥设置于筋体的底部，承载垫板、止浆塞、限位螺母的中心通孔与锚孔对中。该锚尾锥具有自锁功能，该锚杆装置能够增加锚固力。
引用：
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| GB/T 7714 | 郑宏 , 李严严 , 张志红 et al. 锚尾锥及带锚尾锥的锚杆装置 : CN202211353879.9[P]. | 2022-11-01 . |
| MLA | 郑宏 et al. "锚尾锥及带锚尾锥的锚杆装置" : CN202211353879.9. | 2022-11-01 . |
| APA | 郑宏 , 李严严 , 张志红 , 林姗 . 锚尾锥及带锚尾锥的锚杆装置 : CN202211353879.9. | 2022-11-01 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Existence and uniqueness of solution of constitutive integration of non-associative plasticity has been an open issue until it was partly solved in Zheng et al. (2020), where the constitutive integration of elastic-perfect plasticity is reduced to a Mixed Complementarity Problem (MiCP), a special case of finite-dimensional variational inequalities, and the qualitative properties of the MiCP have been well established even for non-smooth yield surfaces and non-associated flow rules. The algorithm for the MiCP, called GSPC, has been proved globally convergent. In order to handle plasticity with hardening and softening behaviors, hardening functions are deemed the same position as stress components. In this way, hardening/softening plasticity reduces to elastic-perfect plasticity, and the GSPC is ideally suited to hardening/softening plasticity with no need to revise. The application of the proposed procedure to the Modified Cam-Clay plasticity is demonstrated. Comparisons are made with the return mapping (R-M) algorithm, indicating that those examples causing R-M to fail to converge can be easily solved using GSPC. (C) 2022 Elsevier B.V. All rights reserved.
关键词 ：
softening plasticity softening plasticity Differential-Complementarity Equations Differential-Complementarity Equations Constitutive integration of hardening Constitutive integration of hardening Dimension Extending Technique Dimension Extending Technique Modified Cam-Clay plasticity Modified Cam-Clay plasticity Mixed Complementarity problems Mixed Complementarity problems
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| GB/T 7714 | Zheng, Hong , Chen, Qian . Dimension extending technique for constitutive integration of plasticity with hardening-softening behaviors [J]. | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING , 2022 , 394 . |
| MLA | Zheng, Hong et al. "Dimension extending technique for constitutive integration of plasticity with hardening-softening behaviors" . | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 394 (2022) . |
| APA | Zheng, Hong , Chen, Qian . Dimension extending technique for constitutive integration of plasticity with hardening-softening behaviors . | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING , 2022 , 394 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
本实用新型提供一种锚尾锥及带锚尾锥的锚杆装置，属于岩土工程防护技术领域。该锚尾锥包括锥头和锥尾，锥头包括第一端面和第二端面，锥头在第一端面和第二端面之间，直径依次递增，锥尾包括第三端面和第四端面，锥尾在第三端面和第四端面之间，直径依次递减，锥头的第二端面与锥尾的第三端面对接，形成锚尾锥，锚尾锥的中心设有锚孔，锚孔为通孔。该带锚尾锥的锚杆装置包括筋体、承载垫板、止浆塞、限位螺母和该锚尾锥，筋体顶部设有第一外螺纹，承载垫板套设于第一外螺纹上，承载垫板被限位螺母和止浆塞夹持于中间；锚尾锥设置于筋体的底部，承载垫板、止浆塞、限位螺母的中心通孔与锚孔对中。该锚尾锥具有自锁功能，该锚杆装置能够增加锚固力。
引用：
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| GB/T 7714 | 郑宏 , 李严严 , 张志红 et al. 锚尾锥及带锚尾锥的锚杆装置 : CN202222901048.2[P]. | 2022-11-01 . |
| MLA | 郑宏 et al. "锚尾锥及带锚尾锥的锚杆装置" : CN202222901048.2. | 2022-11-01 . |
| APA | 郑宏 , 李严严 , 张志红 , 林姗 . 锚尾锥及带锚尾锥的锚杆装置 : CN202222901048.2. | 2022-11-01 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Soil & Rock Aggregate (SRA) is ubiquitous in nature and an excellent fill material in engineering. The presence of SRA rock blocks in number and size-difference makes it impossible to simulate each rock block separately in engineering computations. A practical way is to regard SRA as an equivalent continuum and to evaluate prop-erties of the equivalent continuum using numerical methods. In this way, it is hopeful to overcome big errors of laboratory tests due to removing big blocks. Randomness of SRA rock blocks in shape and orientation renders clumsy mesh dependent methods such as finite element methods. By using finite elements to form mathematical patches, the numerical manifold method (NMM), called FE-NMM, reduces to some degree mesh dependency, but still involves a huge number of operations in cover-cutting and information-rebuilding while generating physical covers. Specifying node influence domains in the moving least squares (MLS) as mathematical patches, and MLS shape functions as the weight functions of the physical patches, this study develops the procedure MLS-NMM to evaluate SRA permeability, completely avoiding extra labor in FE-NMM. Many complicated deployments of rock blocks in SRA are designed and analyzed, suggesting significant advantages of MLS-NMM over FE-NMM. Meanwhile, some interesting results are observed.
关键词 ：
Moving least squares Moving least squares Soil & rock aggregate (SRA) Soil & rock aggregate (SRA) Numerical manifold method Numerical manifold method Equivalent permeability coefficient Equivalent permeability coefficient
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| GB/T 7714 | Lin, Shan , Zheng, Hong , Zhang, Zhihong et al. Evaluation of permeability of soil & rock aggregate using meshless numerical manifold method [J]. | COMPUTERS AND GEOTECHNICS , 2022 , 151 . |
| MLA | Lin, Shan et al. "Evaluation of permeability of soil & rock aggregate using meshless numerical manifold method" . | COMPUTERS AND GEOTECHNICS 151 (2022) . |
| APA | Lin, Shan , Zheng, Hong , Zhang, Zhihong , Li, Wei . Evaluation of permeability of soil & rock aggregate using meshless numerical manifold method . | COMPUTERS AND GEOTECHNICS , 2022 , 151 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
To simulate the dynamic evolution of shear band in soil, the numerical manifold method (NMM) and the Drucker Prager model (DP) are used. Considering that the soil does not bear tension, the tensile part of DP is cut off. Then the constitutive integration could be reduced to mix complementarity problem, which is solved by the Gauss Seidel projection contraction method (GSPC). The discretization sequence is altered to resolve the transfer issue of degrees of freedom when dealing with dynamic discontinuities evolving. Different with the traditional discretization approach, the discretization of temporal variable is set prior to that of spatial variable so that all the degrees of freedom are valid only in a current step without the necessity to be transferred to the next time step. In this way, the shear band tip could stop anywhere naturally, without being improperly forced to stay on the element edge. For simplicity, the shear band is treated as a strong discontinuity with zero width. The interface contact is described by the NMM contact approach where open-close iteration is involved. Finally, a soil dam is studied to check the capability of the proposed method to capture the dynamic evolution of shear band. © 2021 Institute of Physics Publishing. All rights reserved.
关键词 ：
Shear bands Shear bands Iterative methods Iterative methods Soils Soils Degrees of freedom (mechanics) Degrees of freedom (mechanics) Memory architecture Memory architecture Numerical methods Numerical methods Numerical models Numerical models
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| GB/T 7714 | Fan, Zibo , Zheng, Hong , Wu, Wenan et al. Dynamic shear band evolution by the numerical manifold method and the drucker prager model [C] . 2021 . |
| MLA | Fan, Zibo et al. "Dynamic shear band evolution by the numerical manifold method and the drucker prager model" . (2021) . |
| APA | Fan, Zibo , Zheng, Hong , Wu, Wenan , Zhang, Ning , Wang, Yichen . Dynamic shear band evolution by the numerical manifold method and the drucker prager model . (2021) . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Mohr-Coulomb准则的弹塑性积分方法
关键词 ：
MOHR-COULOMB准则 MOHR-COULOMB准则 弹塑性 弹塑性 互补问题 互补问题
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| GB/T 7714 | 张谭 , 郑宏 , 林姗 et al. Mohr-Coulomb准则的弹塑性积分方法 [J]. | 张谭 , 2021 , 35 (2) : 190-197 . |
| MLA | 张谭 et al. "Mohr-Coulomb准则的弹塑性积分方法" . | 张谭 35 . 2 (2021) : 190-197 . |
| APA | 张谭 , 郑宏 , 林姗 , 济南大学学报:自然科学版 . Mohr-Coulomb准则的弹塑性积分方法 . | 张谭 , 2021 , 35 (2) , 190-197 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Mohr-Coulomb准则在Mohr应力空间中具有最简形式,同时也因其非常可靠而在经典的极限分析或极限平衡法中得到了最广泛的应用。然而,应力空间中的Mohr-Coulomb屈服面是非光滑的,这给基于变形分析的弹塑性有限元法中的本构积分带来了巨大的麻烦。此外,在求解强度问题时,基于载荷控制法(LCM)的求解器很难将有限元模型带入极限平衡状态。针对这些问题,本研究给出了以下解决方案。首先,设计了适用于带非光滑屈服面的塑性本构积分算法GSPC。GSPC对任意大小的应变增量都收敛,数值特性远优于现有的返回-映射算法。还为弹塑性有限元分析定制了一个位移控制法(DCM)求解器,该DCM能将有限元模型带入...
关键词 ：
拉裂缝 拉裂缝 边坡稳定性 边坡稳定性 位移控制法 位移控制法 Mohr-Coulomb屈服面 Mohr-Coulomb屈服面 塑性本构积分 塑性本构积分
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| GB/T 7714 | 郑宏 , 张谭 , 王秋生 . 弹塑性有限元分析中几个难点问题的一揽子方案 [J]. | 岩土力学 , 2021 , 42 (02) : 301-314 . |
| MLA | 郑宏 et al. "弹塑性有限元分析中几个难点问题的一揽子方案" . | 岩土力学 42 . 02 (2021) : 301-314 . |
| APA | 郑宏 , 张谭 , 王秋生 . 弹塑性有限元分析中几个难点问题的一揽子方案 . | 岩土力学 , 2021 , 42 (02) , 301-314 . |
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