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学者姓名：郑宏
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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 ：
基于Koiter法则，提出一种适用于Mohr-Coulomb非光滑本构模型的弹塑性积分方法；阐述Mohr-Coulomb准则角点问题产生的原因，采用经典的Kuhn-Tucker互补条件判断可能活跃的屈服面，将Kuhn-Tucker互补方程作为一类特殊的变分不等式，使用投影收缩算法进行求解，并进一步通过迭代确定实际活跃的屈服面；基于主应力特征方程，在主应力空间中计算屈服函数对应力分量的偏导数，同时在一般应力空间中执行应力返回。结果表明，所提出的算法解决了Mohr-Coulomb准则的角点问题，消除了光滑角点带来的误差，既避免了Mohr-Coulomb屈服函数在一般应力空间中角点处的数值奇异性，又...
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 . Mohr-Coulomb准则的弹塑性积分方法 [J]. | 济南大学学报(自然科学版) , 2021 , (02) : 1-8 . |
| MLA | 张谭 et al. "Mohr-Coulomb准则的弹塑性积分方法" . | 济南大学学报(自然科学版) 02 (2021) : 1-8 . |
| APA | 张谭 , 郑宏 , 林姗 . Mohr-Coulomb准则的弹塑性积分方法 . | 济南大学学报(自然科学版) , 2021 , (02) , 1-8 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
近年来，基于有限元框架下相场法在模拟裂纹扩展方面得到广泛的应用。相场数值流形法则整合了相场法和数值流形法的优势，并用于模拟岩石裂纹扩展。文章论述了相场数值流形法的数值离散方法，并通过模拟半圆盘三点弯曲试验和巴西圆盘试验验证了相场数值流形法模拟岩石裂纹扩展的可行性。在此基础上，模拟了含有不同岩桥倾角的预制裂隙的岩石在单轴压缩下的多裂纹扩展过程，与室内试验和PFC模拟的结果均吻合较好。结果表明，相场数值流形法在模拟岩石裂纹扩展具有广阔的应用前景。
关键词 ：
相场法 相场法 断裂变分法 断裂变分法 裂纹扩展 裂纹扩展 数值流形法 数值流形法
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| GB/T 7714 | 杨亮 , 杨永涛 , 郑宏 . 相场数值流形法模拟岩石裂纹扩展 [J]. | 岩土力学 , 2021 , (12) : 1-9 . |
| MLA | 杨亮 et al. "相场数值流形法模拟岩石裂纹扩展" . | 岩土力学 12 (2021) : 1-9 . |
| APA | 杨亮 , 杨永涛 , 郑宏 . 相场数值流形法模拟岩石裂纹扩展 . | 岩土力学 , 2021 , (12) , 1-9 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
基于非局部理论的近场动力学(peridynamic,PD)方法在求解岩石裂纹扩展问题时具备极大的优势,但同时也面临零能模式与边界效应等问题。为解决上述问题,证明非常规态基PD方法等价于采用节点积分的伽辽金弱形式方法,并将非常规态基PD中变形梯度F的求解方式推广为更一般的PD微分算子(peridynamic differential operator,PDDO)近似。由于该近似与重构核粒子(reproducing kernel particle method,RKPM)近似具有相同的位移近似函数,详细对比分析两方法位移导数近似间的差异性,得到PDDO近似不满足相容性条件的结论,并形成了具备更高精...
关键词 ：
近场动力学 近场动力学 伽辽金法 伽辽金法 无网格方法 无网格方法 裂纹扩展 裂纹扩展
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| GB/T 7714 | 崔昊 , 闫自海 , 胡建华 et al. 基于RKPM-PD方法的岩石裂纹扩展数值模拟 [J]. | 隧道与地下工程灾害防治 , 2021 , 3 (03) : 59-75 . |
| MLA | 崔昊 et al. "基于RKPM-PD方法的岩石裂纹扩展数值模拟" . | 隧道与地下工程灾害防治 3 . 03 (2021) : 59-75 . |
| APA | 崔昊 , 闫自海 , 胡建华 , 郑宏 . 基于RKPM-PD方法的岩石裂纹扩展数值模拟 . | 隧道与地下工程灾害防治 , 2021 , 3 (03) , 59-75 . |
| 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 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
The Mohr-Coulomb yield criterion takes on the simplest form in the Mohr stress space, which has thus been most extensively applied in limit analysis and limit equilibrium methods because of its accuracy. However, the Mohr-Coulomb yield surface in the stress space is non-smooth, causing huge troubles to the constitutive integration in the deformation based finite element plasticity analysis. In addressing strength problems, meanwhile, solvers based on the load controlled method (LCM) are hard to bring the finite element model to the limit equilibrium state. Aiming at these issues, the solution schemes are proposed as follows. First, an algorithm named GSPC is designed for the constitutive integration for plasticity with non-smooth yield surfaces. GSPC is always convergent for arbitrary large strain increments, with far more excellent numerical properties than the return-mapping methods available. A solver based on the displacement controlled method (DCM) is developed for the finite element plasticity analysis. The DCM solver is able to bring easily the finite element model into the limit equilibrium state, with no convergence issue, and far more efficient and robust than any LCM solvers. At last, combined with the strength reduction method, the secant method for the factor of safety of slopes is developed, and the location and depth of tension cracks at the slope top are proposed. © 2021, Science Press. All right reserved.
关键词 ：
Displacement control Displacement control Finite element method Finite element method Numerical methods Numerical methods Plasticity Plasticity Safety factor Safety factor Yield stress Yield stress
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| GB/T 7714 | Zheng, Hong , Zhang, Tan , Wang, Qiu-Sheng . One package of schemes for some difficult issues in finite element plasticity analysis [J]. | Rock and Soil Mechanics , 2021 , 42 (2) : 301-314 . |
| MLA | Zheng, Hong et al. "One package of schemes for some difficult issues in finite element plasticity analysis" . | Rock and Soil Mechanics 42 . 2 (2021) : 301-314 . |
| APA | Zheng, Hong , Zhang, Tan , Wang, Qiu-Sheng . One package of schemes for some difficult issues in finite element plasticity analysis . | Rock and Soil Mechanics , 2021 , 42 (2) , 301-314 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Due to rock masses' nonlinear failure property, it is inappropriate to investigate the stability of rock slopes using the traditional SRM (strength reduction method) which is based on the linear MC (Mohr-Coulomb) failure criterion. To conduct 3D analysis (three dimensional) of rock slopes, we propose a 3D-NSRNMM (3D nonlinear strength reduction numerical manifold method) that is based on the nonlinear GHB (Generalized Hoek-Brown) failure criterion. To effectively implement the proposed 3D-NSRNMM, two methods are adopted to convert the GHB parameters into the average and instantaneous equivalent MC parameters. With the proposed 3D-NSRNMM, the influences of different types of equivalent MC parameters, and boundary conditions on rock slopes' stability are investigated. The numerical results assessed from the proposed 3D-NSRNMM indicate that: 1) boundary conditions will significantly influence the safety factor and failure mode of a rock slope obtained from 3D analysis; 2) the safety factor from two-dimensional analysis is more conservative compared with 3D analysis; 3) Furthermore, safety factors based on the instantaneous equivalent MC parameters are very close to those based on the average equivalent MC parameters, but 3D rock slopes' failure modes based on the two different types of equivalent MC parameters are a little different from each other.
关键词 ：
3D numerical manifold method 3D numerical manifold method 3D rock slope analysis 3D rock slope analysis Generalized Hoek-Brown criterion Generalized Hoek-Brown criterion MC failure criterion MC failure criterion Nonlinear strength reduction method Nonlinear strength reduction method
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| GB/T 7714 | Yang, Yongtao , Xia, Yang , Zheng, Hong et al. Investigation of rock slope stability using a 3D nonlinear strength-reduction numerical manifold method [J]. | ENGINEERING GEOLOGY , 2021 , 292 . |
| MLA | Yang, Yongtao et al. "Investigation of rock slope stability using a 3D nonlinear strength-reduction numerical manifold method" . | ENGINEERING GEOLOGY 292 (2021) . |
| APA | Yang, Yongtao , Xia, Yang , Zheng, Hong , Liu, Zhijun . Investigation of rock slope stability using a 3D nonlinear strength-reduction numerical manifold method . | ENGINEERING GEOLOGY , 2021 , 292 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
The corners of non-smooth yield surfaces, e.g., Mohr-Coulomb or Hoek-Brown criteria, often cause problems in numerical applications due to the gradient discontinuities, which boil down to the abrupt order interchange of two principal stresses. Nevertheless, when the stress components cross the corners, the principal stresses, which are smoothly dependent on the components of stress tensor, can be smoothly tracked through subspace tracking method. Thus, all the six auxiliary yield functions based on Koiter's rule will be smooth functions of components of stress. Finally, the corner problems are eliminated. As an application, three boundary-value problems (a 3D one-element, a 2D slope with a soft band, and a 3D soil slope) are analyzed to investigate the performance of the proposed method in a non-linear finite element simulation.
关键词 ：
Complementarity function Complementarity function Elastoplasticity Elastoplasticity Mohr-Coulomb Mohr-Coulomb Non-smooth yield surface Non-smooth yield surface Subspace tracking method Subspace tracking method
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| GB/T 7714 | Li, Chunguang , Li, Cuihua , Zheng, Hong . Subspace tracking method for non-smooth yield surface [J]. | COMPUTERS & MATHEMATICS WITH APPLICATIONS , 2021 , 90 : 125-134 . |
| MLA | Li, Chunguang et al. "Subspace tracking method for non-smooth yield surface" . | COMPUTERS & MATHEMATICS WITH APPLICATIONS 90 (2021) : 125-134 . |
| APA | Li, Chunguang , Li, Cuihua , Zheng, Hong . Subspace tracking method for non-smooth yield surface . | COMPUTERS & MATHEMATICS WITH APPLICATIONS , 2021 , 90 , 125-134 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
To investigate rock slope stability, a nonlinear strength-reduction numerical manifold method (NSRNMM) using a generalized Hoek-Brown (GHB) criterion is proposed. As it is difficult to implement the nonlinear strength reduction method (NSRM) with the use of the GHB criterion by directly reducing the GHB parameters, two equivalent Mohr-Coulomb (MC) criteria, namely, the instantaneous and average equivalent MC criteria that are derived from the GHB criterion, are adopted in the NSRNMM. The implementation details of the NSRNMM are discussed. The stability of two rock slopes, namely, a rock slope with a GHB material and a rock slope with a GHB material and two MC materials, is investigated using the NSRNMM. The numerical results indicate that 1) the proposed NSRNMM using the instantaneous equivalent MC criterion can accurately calculate the safety factor (Fs) of rock slopes and that 2) the Fs predicted with the NSRNMM using the average equivalent MC criterion is more conservative than that using the instantaneous equivalent MC criterion. © 2020 Elsevier Ltd
关键词 ：
Numerical methods Numerical methods Numerical models Numerical models Rocks Rocks Safety factor Safety factor Slope stability Slope stability
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| GB/T 7714 | Wang, Haibin , Yang, Yongtao , Sun, Guanhua et al. A stability analysis of rock slopes using a nonlinear strength reduction numerical manifold method [J]. | Computers and Geotechnics , 2021 , 129 . |
| MLA | Wang, Haibin et al. "A stability analysis of rock slopes using a nonlinear strength reduction numerical manifold method" . | Computers and Geotechnics 129 (2021) . |
| APA | Wang, Haibin , Yang, Yongtao , Sun, Guanhua , Zheng, Hong . A stability analysis of rock slopes using a nonlinear strength reduction numerical manifold method . | Computers and Geotechnics , 2021 , 129 . |
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