检索结果-内蒙古大学图书馆

On the utilization of the reproducing kernel particle method for the numerical simulation of plane strain rolling

INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE 2003年第1期43卷 89-102页

作者： Shangwu, X Liu, WK Cao, J Rodrigues, JMC Martins, PAF Inst Super Tecn Seccao Tecnol Mecan P-1049001 Lisbon Portugal Northwestern Univ Dept Mech Engn Evanston IL 60208 USA Inst Super Tecn Dept Engn Mecan P-1049001 Lisbon Portugal

This paper draws from fundamental research on the reproducing kernel particle method (RKPM) to the development of an innovative numerical approach for analyzing rolling under plane strain conditions. The approach is based on the flow formulation for slightly compressible rigid-plastic materials and a detailed description of the method and its numerical implementation is presented with the objective of making clear the fundamental differences to the well-established finite element method for slightly compressible rigid-plastic materials. Special emphasis is placed on the construction of shape functions and their derivatives, enforcement of the essential boundary conditions and treatment of frictional effects, along the contact interface between the workpiece and the roll. The effectiveness of the proposed approach is discussed by comparing theoretical predictions with experimental data found in the literature. (C) 2002 Published by Elsevier Science Ltd.

关键词： plane strain rolling reproducing kernel particle method slightly compressible rigid-plastic materials

来源：评论

学校读者我要写书评

暂无评论

The dimension splitting reproducing kernel particle method for three-dimensional potential problems

引用

INTERNATIONAL JOURNAL FOR NUMERICAL methodS IN ENGINEERING 2020年第1期121卷 146-164页

作者： Peng, P. P. Wu, Q. Cheng, Y. M. Shanghai Univ Sch Mech & Engn Sci Shanghai Inst Appl Math & Mech Shanghai Key Lab Mech Energy Engn Shanghai Peoples R China

In this paper, the dimension splitting reproducing kernel particle method (DSRKPM) for three-dimensional (3D) potential problems is presented. In the DSRKPM, a 3D potential problem can be transformed into a series of two-dimensional (2D) ones in the dimension splitting direction. The reproducing kernel particle method (RKPM) is used to solve each 2D problem, the essential boundary conditions are imposed by penalty method, and the discretized equation is obtained from Galerkin weak form of potential problems. Finite difference method is used in the dimension splitting direction. Then, by combining a series of the equations of the RKPM for solving 2D problems, the final equation of the DSRKPM for 3D potential problems is obtained. Five example problems on regular or irregular domains are selected to show that the DSRKPM has higher computational efficiency than the RKPM and the improved element-free Galerkin method for 3D potential problems.

关键词： dimension splitting method dimension splitting reproducing kernel particle method finite difference method potential problem reproducing kernel particle method

来源：评论

学校读者我要写书评

暂无评论

Analyzing three-dimensional wave propagation with the hybrid reproducing kernel particle method based on the dimension splitting method

引用

ENGINEERING WITH COMPUTERS 2022年第SUPPL 2期38卷 1131-1147页

作者： Peng, Piaopiao Cheng, Yumin Shanghai Univ Sch Mech & Engn Sci Shanghai Inst Appl Math & Mech Shanghai Key Lab Mech Energy Engn Shanghai 200072 Peoples R China

By introducing the dimension splitting method into the reproducing kernel particle method (RKPM), a hybrid reproducing kernel particle method (HRKPM) for solving three-dimensional (3D) wave propagation problems is presented in this paper. Compared with the RKPM of 3D problems, the HRKPM needs only solving a set of two-dimensional (2D) problems in some subdomains, rather than solving a 3D problem in the 3D problem domain. The shape functions of 2D problems are much simpler than those of 3D problems, which results in that the HRKPM can save the CPU time greatly. Four numerical examples are selected to verify the validity and advantages of the proposed method. In addition, the error analysis and convergence of the proposed method are investigated. From the numerical results we can know that the HRKPM has higher computational efficiency than the RKPM and the element-free Galerkin method.

关键词： Meshless method Dimension splitting method reproducing kernel particle method Hybrid reproducing kernel particle method Wave propagation

来源：评论

学校读者我要写书评

暂无评论

The reproducing kernel particle method for two-dimensional unsteady heat conduction problems

引用

COMPUTATIONAL MECHANICS 2009年第1期45卷 1-10页

作者： Cheng, Rongjun Liew, K. M. City Univ Hong Kong Dept Bldg & Construct Kowloon Hong Kong Peoples R China Zhejiang Univ Ningbo Inst Technol Ningbo 315100 Peoples R China

The numerical solution to two-dimensional unsteady heat conduction problem is obtained using the reproducing kernel particle method (RKPM). A variational method is employed to furnish the discrete equations, and the essential boundary conditions are enforced by the penalty method. Convergence analysis and error estimation are discussed. Compared with the numerical methods based on mesh, the RKPM needs only the scattered nodes instead of meshing the domain of the problem. The effectiveness of the RKPM for two-dimensional unsteady heat conduction problems is examined by two numerical examples.

关键词： reproducing kernel particle method Meshless method Unsteady heat conduction problem Error estimate

来源：评论

学校读者我要写书评

暂无评论

The complex variable reproducing kernel particle method for the analysis of Kirchhoff plates

引用

COMPUTATIONAL MECHANICS 2015年第3期55卷 591-602页

作者： Chen, L. Cheng, Y. M. Ma, H. P. Changan Univ Dept Engn Mech Xian 710064 Peoples R China Shanghai Univ Dept Math Shanghai 200072 Peoples R China Shanghai Univ Shanghai Inst Appl Math & Mech Shanghai 200072 Peoples R China

In this paper, the complex variable reproducing kernel particle method (CVRKPM) for the bending problem of arbitrary Kirchhoff plates is presented. The advantage of the CVRKPM is that the shape function of a two-dimensional problem is obtained one-dimensional basis function. The CVRKPM is used to form the approximation function of the deflection of a Kirchhoff plate, the Galerkin weak form of the bending problem of Kirchhoff plates is adopted to obtain the discretized system equations, and the penalty method is employed to enforce the essential boundary conditions, then the corresponding formulae of the CVRKPM for the bending problem of Kirchhoff plates are presented in detail. Several numerical examples of Kirchhoff plates with different geometry and loads are given to demonstrate that the CVRKPM in this paper has higher computational precision and efficiency than the reproducing kernel particle method under the same node distribution. And the influences of the basis function, weight function, scaling factor, node distribution and penalty factor on the computational precision of the CVRKPM in this paper are discussed.

关键词： Meshless method reproducing kernel particle method Complex variable reproducing kernel particle method Kirchhoff plate

来源：评论

学校读者我要写书评

暂无评论

Adaptive reproducing kernel particle method using gradient indicator for elasto-plastic deformation

引用

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 2013年第2期37卷 280-292页

作者： Liu, H. S. Fu, M. W. Harbin Inst Technol Dept Mechatron Engn Harbin 150001 Peoples R China Hong Kong Polytech Univ Dept Mech Engn Kowloon Hong Kong Peoples R China

An adaptive meshless method based on the multi-scale reproducing kernel particle method (RKPM) for analysis of nonlinear elasto-plastic deformation is proposed in this research. In the proposed method, the equivalent strain, stress, and the second invariant of the Cauchy-Green deformation tensor are decomposed into two scale components, viz., high- and low-scale components by deriving them from the multi-scale decomposed displacement. Through combining the high-scale components of strain and the stress update algorithm, the equivalent stress is decomposed into two scale components. An adaptive algorithm is proposed to locate the high gradient region and enrich the nodes in the region to improve the computational accuracy of RKPM. Using the algorithm, the high-scale components of strain and stress and the second invariant of the Cauchy-Green deformation tensor are normalized and used as criteria to implement the adaptive analysis. To verify the validity of the proposed adaptive meshless method in nonlinear elasto-plastic deformation, four case studies are calculated by the multi-scale RKPM. The patch test results show that the used multi-scale RKPM is reliable in analysis of the regular and irregular nodal distribution. The results of other three cases show that the proposed adaptive algorithm can not only locate the high gradient region well, but also improve the computational accuracy in analysis of the nonlinear elasto-plastic deformation. (C) 2012 Elsevier Ltd. All rights reserved.

关键词： Adaptive analysis Multi-scale reproducing kernel particle method High gradient Elasto-plastic deformation

来源：评论

学校读者我要写书评

暂无评论

Support vector machine guided reproducing kernel particle method for image-based modeling of microstructures

引用

COMPUTATIONAL MECHANICS 2024年第4期73卷 907-942页

作者： Wang, Yanran Baek, Jonghyuk Tang, Yichun Du, Jing Hillman, Mike Chen, Jiun-Shyan Univ Calif San Diego Dept Struct Engn La Jolla CA 92093 USA Penn State Univ Dept Mech Engn University Pk PA 16802 USA Karagozian & Case Inc Glendale CA 91203 USA

This work presents an approach for automating the discretization and approximation procedures in constructing digital representations of composites from micro-CT images featuring intricate microstructures. The proposed method is guided by the Support Vector Machine (SVM) classification, offering an effective approach for discretizing microstructural images. An SVM soft margin training process is introduced as a classification of heterogeneous material points, and image segmentation is accomplished by identifying support vectors through a local regularized optimization problem. In addition, an Interface-Modified reproducing kernel particle method (IM-RKPM) is proposed for appropriate approximations of weak discontinuities across material interfaces. The proposed method modifies the smooth kernel functions with a regularized Heaviside function concerning the material interfaces to alleviate Gibb's oscillations. This IM-RKPM is formulated without introducing duplicated degrees of freedom associated with the interface nodes commonly needed in the conventional treatments of weak discontinuities in the meshfree methods. Moreover, IM-RKPM can be implemented with various domain integration techniques, such as Stabilized Conforming Nodal Integration (SCNI). The extension of the proposed method to 3-dimension is straightforward, and the effectiveness of the proposed method is validated through the image-based modeling of polymer-ceramic composite microstructures.

关键词： Image-based modeling Support vector machine reproducing kernel particle method Weak discontinuity Microstructures

来源：评论

学校读者我要写书评

暂无评论

Semi-Lagrangian reproducing kernel particle method for fragment-impact problems

引用

INTERNATIONAL JOURNAL OF IMPACT ENGINEERING 2011年第12期38卷 1033-1047页

作者： Guan, P. C. Chi, S. W. Chen, J. S. Slawson, T. R. Roth, M. J. Univ Calif Los Angeles Dept Civil & Environm Engn Los Angeles CA 90095 USA Natl Taiwan Ocean Univ Computat & Simulat Ctr Keelung Taiwan Natl Taiwan Ocean Univ Dept Syst Engn & Naval Architecture Keelung Taiwan USA Engineer Res & Dev Ctr Vicksburg MS USA

Fragment-impact problems exhibit excessive material distortion and complex contact conditions that pose considerable challenges in mesh based numerical methods such as the finite element method (FEM). A semi-Lagrangian reproducing kernel particle method (RKPM) is proposed for fragment-impact modeling to alleviate mesh distortion difficulties associated with the Lagrangian FEM and to minimize the convective transport effect in the Eulerian or Arbitrary Lagrangian Eulerian FEM. A stabilized non-conforming nodal integration with boundary correction for the semi-Lagrangian RKPM is also proposed. Under the framework of semi-Lagrangian RKPM, a kernel contact algorithm is introduced to address multi-body contact. Stability analysis shows that temporal stability of the kernel contact algorithm is related to the velocity gradient between two contacting bodies. The performance of the proposed methods is examined by numerical simulation of penetration processes. Published by Elsevier Ltd.

关键词： Semi-Lagrangian reproducing kernel particle method Penetration Meshfree

来源：评论

学校读者我要写书评

暂无评论

Radial basis reproducing kernel particle method for piezoelectric materials

引用

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 2018年 92卷 171-179页

作者： Zhang, Ting Wei, Gaofeng Ma, Jichao Gao, Hongfen Qilu Univ Technol Sch Mech & Automot Engn Jinan 250353 Shandong Peoples R China Shandong Management Univ Coll Mech & Elect Engn Jinan 250357 Shandong Peoples R China

To reduce the negative effect of different kernel functions on calculating accuracy, the radial basis function (RBF) is introduced into the reproducing kernel particle method (RKPM), and the radial basis reproducing kernel particle method (RRKPM) is proposed, the corresponding governing equations are derived. The RRKPM is more efficient to solve the local problem domain, and can improve the accuracy and stability of the RKPM. Then the RRKPM is applied to the numerical simulation of piezoelectric materials, the corresponding formulae for piezoelectric materials are derived. The numerical results illustrate the proposed method is more stable and accurate than the RKPM. (C) 2017 Elsevier Ltd. All rights reserved.

关键词： Meshless methods Piezoelectric materials Radial basis functions reproducing kernel particle method Numerical simulation

来源：评论

学校读者我要写书评

暂无评论

Simulation of sheet metal forming process using reproducing kernel particle method

引用

INTERNATIONAL JOURNAL FOR NUMERICAL methodS IN BIOMEDICAL ENGINEERING 2010年第11期26卷 1462-1476页

作者： Liu, H. S. Xing, Z. W. Yang, Y. Y. Harbin Inst Technol Sch Mechatron Engn Harbin 150006 Peoples R China Harbin Inst Technol Sch Mat Sci & Engn Harbin 150006 Peoples R China

Numerical simulation of sheet metal forming process using the meshless method called reproducing kernel particle method (RKPM) is studied in this paper. Owing to limitations of meshless approximation under parametric coordinate system, a constrained reproducing kernel (RK) approximation under Cartesian coordinate system is employed to describe the sheet metal deformation. Several technologies are used to solve the crucial problems involved in the numerical procedure. RKPM shape function is modified to impose essential boundary conditions;stabilized conforming nodal integration method is adopted to implement numerical integration of weak formulation;and an algorithm based on moment method is used to treat contact detection during sheet metal forming process. A program based on constrained RK approximation is developed to simulate two sheet metal forming examples: square-cup deep drawing and hemispherical part drawing. Numerical results are presented to demonstrate the effectiveness of the RKPM in numerical simulation of sheet metal forming. Copyright (C) 2009 John Wiley & Sons, Ltd.

关键词： meshless methods reproducing kernel particle method sheet metal forming essential boundary condition reproducing kernel approximation

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：