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学者姓名：彭一江
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摘要 ：
The combination of artificial intelligence and finite element method (FEM) is a hot topic in the field of computational mechanics. This study proposes a novel base force element method (BFEM) for finite strain problems based on the complementary energy principle. Using the back-propagation (BP) neural network in the field of artificial intelligence to construct the constitutive relationship of the BFEM for finite strain problems. First, a BFEM model for finite strain problems was derived. Second, using the BP neural network model and learning from test samples, a constitutive relationship for incompressible finite strain problems has been efficiently established. Third, the program has been upgraded using parallel computing and sparse matrices, which greatly improves the computational efficiency of this study. Finally, several finite strain examples were used to verify the correctness of the BFEM based on the BP neural network proposed in this study, as well as the efficiency of the parallel computing method. This study combines BP neural network with a new type of FEM - BFEM, which fills the gap in using complementary energy FEM to calculate the finite strain problem of incompressible hyperelastic materials.
关键词 ：
constitutive relationship constitutive relationship BFEM BFEM Complementary energy principle Complementary energy principle finite strain finite strain incompressible hyperelastic materials incompressible hyperelastic materials back-propagation neural network back-propagation neural network
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| GB/T 7714 | Li, Zhonghai , Peng, Yijiang . Base Force Element Method for Finite Strain Problems Based on Artificial Neural Network [J]. | INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS , 2024 . |
| MLA | Li, Zhonghai 等. "Base Force Element Method for Finite Strain Problems Based on Artificial Neural Network" . | INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS (2024) . |
| APA | Li, Zhonghai , Peng, Yijiang . Base Force Element Method for Finite Strain Problems Based on Artificial Neural Network . | INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS , 2024 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
Recycled rubber concrete (RRC), a sustainable building material, provides a solution to the environmental issues posed by rubber waste. This research introduces a sophisticated hybrid random aggregate model for RRC. The model is established by combining convex polygon aggregates and rounded rubber co-casting schemes with supplemental tools developed in MATLAB and Fortran for processing. Numerical analyses, based on the base force element method (BFEM) of the complementary energy principle, are performed on RRC's uniaxial tensile and compressive behaviors using the proposed aggregate models. This study identified the interfacial transition zone (ITZ) around the rubber as RRC's weakest area. Here, cracks originate and progress to the aggregate, leading to widespread cracking. Primary cracks form perpendicular to the load under tension, whereas bifurcated cracks result from compression, echoing conventional concrete's failure mechanisms. Additionally, the hybrid aggregate model outperformed the rounded aggregate model, exhibiting closer peak strengths and more accurate aggregate shapes. The method's validity is supported by experimental findings, resulting In detailed stress-strain curves and damage contour diagrams.
关键词 ：
complementary energy principle complementary energy principle random aggregate model random aggregate model meso-damage analysis meso-damage analysis recycled rubber concrete (RRC) recycled rubber concrete (RRC) base force element method (BFEM) base force element method (BFEM)
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| GB/T 7714 | Kamel, Mahmoud M. A. , Fu, Yu , Feng, Xiaowei et al. Mesoscopic Analysis of Rounded and Hybrid Aggregates in Recycled Rubber Concrete [J]. | MATERIALS , 2023 , 16 (19) . |
| MLA | Kamel, Mahmoud M. A. et al. "Mesoscopic Analysis of Rounded and Hybrid Aggregates in Recycled Rubber Concrete" . | MATERIALS 16 . 19 (2023) . |
| APA | Kamel, Mahmoud M. A. , Fu, Yu , Feng, Xiaowei , Peng, Yijiang . Mesoscopic Analysis of Rounded and Hybrid Aggregates in Recycled Rubber Concrete . | MATERIALS , 2023 , 16 (19) . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
The complementary energy principle associated with the modified couple stress theory (MCST) is proposed and proved for analyzing the size effects of Euler micro-beams considering support movements and negative Poisson's ratio. The analytical solutions with the size effects are obtained and analyzed for the support reactions, internal forces, curvatures, rotations and deflections separately based on the principle. The results show that the support reactions and internal forces are greatly affected by the size effects when the support displacements are considered. It means that the size effects exist in piezoresistive pressure sensors that are sensitive to stresses. Moreover, the direction changes to the opposite for the total moment when the ratio of the material scale parameter l to the height of the micro-beam h (l/h) goes from 0 to 1. The deflections, curvatures and rotations have nothing to do with the size effects, respectively, if the support movements are only considered. Negative Poisson's ratio materials may be a good choice to verify the controversial issue of whether Poisson's ratio should be considered in the MCST beam model for the micro-scale experiments. The main reason is that the influence of negative Poisson's ratio on the size effects is larger than that of positive Poisson's ratio in the theoretical analysis. The analytical solutions agree with the published data for the deflections and rotations without the support movements.
关键词 ：
Support movements Support movements Complementary energy principle Complementary energy principle Modified couple stress theory Modified couple stress theory Size effects Size effects Negative Poisson's ratio Negative Poisson's ratio
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| GB/T 7714 | Liu, Jiangsen , Peng, Yijiang . Complementary energy principle associated with modified couple stress theory for Euler micro-beams considering support movements and negative Poisson's ratio [J]. | ARCHIVE OF APPLIED MECHANICS , 2022 , 92 (7) : 2119-2135 . |
| MLA | Liu, Jiangsen et al. "Complementary energy principle associated with modified couple stress theory for Euler micro-beams considering support movements and negative Poisson's ratio" . | ARCHIVE OF APPLIED MECHANICS 92 . 7 (2022) : 2119-2135 . |
| APA | Liu, Jiangsen , Peng, Yijiang . Complementary energy principle associated with modified couple stress theory for Euler micro-beams considering support movements and negative Poisson's ratio . | ARCHIVE OF APPLIED MECHANICS , 2022 , 92 (7) , 2119-2135 . |
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摘要 ：
本文针对再生混凝土材料，利用均质化分析方法，建立了串联均质化模型，采用新型有限元法——基于余能原理的基面力单元法对再生混凝土进行细观层次的损伤研究，利用所编非线性损伤基面力单元法分析程序，分析了再生混凝土在单轴压缩荷载情况下的应力应变软化曲线和破坏机理，并将计算结果与试验和细观随机骨料模型分析方法的结果进行对比分析。研究结果表明：这种串联均质化分析方法可以用于分析再生混凝土材料的非线性损伤分析，可以得到再生混凝土材料的抗压强度、应力应变软化曲线和裂纹扩展的过程。
关键词 ：
Series Homogenization Model Series Homogenization Model 再生混凝土 再生混凝土 基面力单元法 基面力单元法 Base Force Element Method Base Force Element Method Mesoscopic Damage Mesoscopic Damage 串联均质化模型 串联均质化模型 Recycled Concrete Recycled Concrete 细观损伤 细观损伤
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| GB/T 7714 | Al-SayedSafwan Fouad , 陈莹 , 彭一江 . 基于串联均质化模型的再生混凝土抗压强度和破坏机理分析 [J]. | 力学研究 , 2021 , 10 (02) : 153-161 . |
| MLA | Al-SayedSafwan Fouad et al. "基于串联均质化模型的再生混凝土抗压强度和破坏机理分析" . | 力学研究 10 . 02 (2021) : 153-161 . |
| APA | Al-SayedSafwan Fouad , 陈莹 , 彭一江 . 基于串联均质化模型的再生混凝土抗压强度和破坏机理分析 . | 力学研究 , 2021 , 10 (02) , 153-161 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
基于基面力的概念,并结合Euler角的位移描述方法,提出了适用于几何非线性计算的空间6结点余能基面力单元.使用MATLAB语言编程并对典型梁、板结构进行弹性大变形数值模拟.由计算结果可以看出,基于余能原理的基面力元法(BFEM)在计算构件的空间大变形时有较好的计算精度,对比传统有限元计算方法具有网格尺寸影响小和抗畸变能力强的特点,有良好的计算性能.
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| GB/T 7714 | 龚琳琦 , 陈曦昀 , 郭庆 et al. 基面力单元法在空间几何非线性问题中的应用 [J]. | 应用数学和力学 , 2021 , 42 (8) : 785-793 . |
| MLA | 龚琳琦 et al. "基面力单元法在空间几何非线性问题中的应用" . | 应用数学和力学 42 . 8 (2021) : 785-793 . |
| APA | 龚琳琦 , 陈曦昀 , 郭庆 , 彭一江 . 基面力单元法在空间几何非线性问题中的应用 . | 应用数学和力学 , 2021 , 42 (8) , 785-793 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
The 3-D base force element method (BFEM) for damage problems is proposed, which is applied to analyze the damage mechanism of recycled aggregate concrete (RAC). A piecewise curve damage constitutive model is given to simulate the constitutive relationships of RAC phases. A spatial random aggregate model of RAC is proposed. 3-D numerical simulations of RAC under uniaxial mechanical stress are carried out. The macroscopic stress-strain relationship and failure process of RAC under uniaxial stress based on the 3-D BFEM are obtained. The numerical results show a good consistency with the experimental results. This illustrates that the numerical simulation can reflect the nonlinearity deformation, stress redistribution, and crack propagation process of RAC. In addition, the influence of recycled aggregate replacement percentage on strength and elastic modulus is investigated. The results show that the content proportion of recycled aggregate has a great effect on RAC, which have to be considered in the analysis and the application of RAC.
关键词 ：
recycled aggregate concrete recycled aggregate concrete numerical simulation numerical simulation spatial random aggregate model spatial random aggregate model damage mechanism damage mechanism D base force element method D base force element method 3‐ 3‐ damage constitutive model damage constitutive model
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| GB/T 7714 | Ying, Liping , Peng, Yijiang , Kamel, Mahmoud M. A. . 3-D base force element method on meso-damage analysis for recycled concrete [J]. | STRUCTURAL CONCRETE , 2021 , 23 (4) : 1962-1980 . |
| MLA | Ying, Liping et al. "3-D base force element method on meso-damage analysis for recycled concrete" . | STRUCTURAL CONCRETE 23 . 4 (2021) : 1962-1980 . |
| APA | Ying, Liping , Peng, Yijiang , Kamel, Mahmoud M. A. . 3-D base force element method on meso-damage analysis for recycled concrete . | STRUCTURAL CONCRETE , 2021 , 23 (4) , 1962-1980 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
The base force element method (BFEM), formulated according the principle of complementary energy, is a new finite element method (FEM) that deals with nonlinear problems. Using the BFEM, the linear elastic model and large elastic deformation model of the plane truss element are derived, and the large elastic deformation model is expanded into a three-dimensional setting in this study. The rotating part of the element should be considered when deriving the large elastic deformation model. Accordingly, it is necessary to determine whether base force can be used as a fundamental unknown variable. Nonlinear numerical calculation is performed in combination with large elastic deformations of the truss beam and frame. The calculated results conform with the theoretical results of a solid beam with equivalent deflection. In this study, the U.L and T.L formats are used to solve the governing equations iteratively. The calculated results in the T.L format are compared with those of the T2D2 and LINK1 elements in the finite element software. Only a single loading of the T.L format is necessary, rendering it a simple and convenient approach that can improve calculation efficiency. Moreover, the arc-length method is first applied to the BFEM to solve the snap-through problem.
关键词 ：
finite element method finite element method beam beam truss  truss  large elastic deformation large elastic deformation complementary energy principle complementary energy principle truss element model truss element model BFEM BFEM
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| GB/T 7714 | Peng, Yijiang , Li, Zhonghai , Kamel, Mahmoud M. A. . Geometrical nonlinear problems of truss beam by base force element method [J]. | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING , 2021 , 122 (18) : 4793-4824 . |
| MLA | Peng, Yijiang et al. "Geometrical nonlinear problems of truss beam by base force element method" . | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 122 . 18 (2021) : 4793-4824 . |
| APA | Peng, Yijiang , Li, Zhonghai , Kamel, Mahmoud M. A. . Geometrical nonlinear problems of truss beam by base force element method . | INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING , 2021 , 122 (18) , 4793-4824 . |
| 导入链接 | NoteExpress RIS BibTex |
摘要 ：
为了从细微观尺度上研究碳纳米管-水泥基复合材料的损伤破坏过程和破坏机理,从碳纳米管-水泥基复合材料中选取尺寸为100μm×100μm的代表单元,建立二维代表单元的细微观层次的数值模型.以势能原理的基面力元法为理论基础,对代表单元进行数值模拟,探究在单轴受压状态下碳纳米管-水泥基复合材料的力学性能变化,并绘制破坏裂纹的发展过程图和最大主应力分布变化过程图.结果表明,该代表单元模型能够较真实地模拟复合材料在单轴压缩状态下的损伤破坏过程,通过数值模拟不同含量的复合材料代表单元模型,发现增强体的含量影响着复合材料的强度及韧性,选择合适的含量范围有利于提升材料的力学性能.通过数值模拟的方法分析碳纳米管增强水泥基复合材料的作用机理,拓展了基面力元法的应用范围,节约了计算资源,其结果丰富了碳纳米管-水泥基复合材料力学性能的研究,可为相关工程应用及基础研究提供参考.
关键词 ：
碳纳米管 碳纳米管 复合建筑材料 复合建筑材料 代表单元 代表单元 基面力元法 基面力元法 数值模拟 数值模拟
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| GB/T 7714 | 吴正昊 , 应黎坪 , 杨宏明 et al. 碳纳米管增强水泥基复合材料的 二维代表单元研究 [J]. | 河北工业科技 , 2020 , 37 (4) : 211-217 . |
| MLA | 吴正昊 et al. "碳纳米管增强水泥基复合材料的 二维代表单元研究" . | 河北工业科技 37 . 4 (2020) : 211-217 . |
| APA | 吴正昊 , 应黎坪 , 杨宏明 , 彭一江 . 碳纳米管增强水泥基复合材料的 二维代表单元研究 . | 河北工业科技 , 2020 , 37 (4) , 211-217 . |
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摘要 ：
Purpose Based on the random aggregate model of recycled aggregate concrete (RAC), this paper aims to focus on the effect of loading rate on the failure pattern and the macroscopic mechanical properties. Design/methodology/approach RAC is regarded as a five-phase inhomogeneous composite material at the mesoscopic level. The number and position of the aggregates are modeled by the Walraven formula and Monte-Carlo stochastic method, respectively. The RAC specimen is divided by the finite-element mesh to establish the dynamic base force element model. In this model, the element mechanical parameters of each material phase satisfy Weibull distribution. To simulate and analyze the dynamic mechanical behavior of RAC under axial tension, flexural tension and shear tension, the dynamic tensile modes of the double-notched specimens, the simply supported beam and the L specimens are modeled, respectively. In addition, the different concrete samples are numerically investigated under different loading rates. Findings The failure strength and failure pattern of RAC have strong rate-dependent characteristics because of the inhomogeneity and the inertial effect of the material. Originality/value The dynamic base force element method has been successfully applied to the study of recycled concrete.
关键词 ：
Dynamic tensile failure Dynamic tensile failure Base force element method Base force element method Mesoscopic model Mesoscopic model Recycled concrete Recycled concrete Rate-dependent Rate-dependent
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| GB/T 7714 | Ying, Liping , Peng, Yijiang , Kamel, Mahmoud M. A. . Mesoscopic numerical analysis of dynamic tensile fracture of recycled concrete [J]. | ENGINEERING COMPUTATIONS , 2020 , 37 (6) : 1899-1922 . |
| MLA | Ying, Liping et al. "Mesoscopic numerical analysis of dynamic tensile fracture of recycled concrete" . | ENGINEERING COMPUTATIONS 37 . 6 (2020) : 1899-1922 . |
| APA | Ying, Liping , Peng, Yijiang , Kamel, Mahmoud M. A. . Mesoscopic numerical analysis of dynamic tensile fracture of recycled concrete . | ENGINEERING COMPUTATIONS , 2020 , 37 (6) , 1899-1922 . |
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摘要 ：
Cement mortar is an important part of building material and a typical cement matrix composite material. In current work, the mechanical properties and failure mechanism of cement mortar under static compression are studied by using the Base Force Element Method (BFEM). The static compression damage program of cement mortar is compiled grounded on the BFEM of the potential energy principle. An elastic polyline damage constitutive model is put forward to express the meso-damage and evolution process of cement mortar. A 2D random circular aggregate model of cement mortar was established. The numerical simulation of the uniaxial static compression is carried out, the stress-strain curve, damage process, and damage model are obtained. The strength of the interfacial transition zone and the failure process of hardened cement mortar were discussed. A mesoscopic equivalent model is proposed to analyze the mechanical properties of cement mortar by considering the effect of initial porosity.
关键词 ：
numerical simulation numerical simulation mesoscopic damage mesoscopic damage initial porosity initial porosity base force element method base force element method cement mortar cement mortar
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| GB/T 7714 | Peng, Yijiang , Chen, Ying , Wang, Qing et al. Mesoscopicnumerical simulation of fracture process and failure mechanism of cement mortar [J]. | STRUCTURAL CONCRETE , 2020 . |
| MLA | Peng, Yijiang et al. "Mesoscopicnumerical simulation of fracture process and failure mechanism of cement mortar" . | STRUCTURAL CONCRETE (2020) . |
| APA | Peng, Yijiang , Chen, Ying , Wang, Qing , Ying, Liping . Mesoscopicnumerical simulation of fracture process and failure mechanism of cement mortar . | STRUCTURAL CONCRETE , 2020 . |
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