检索结果-内蒙古大学图书馆

Analysis of metal forming process based on meshless method

JOURNAL OF MATERIALS PROCESSING TECHNOLOGY 1998年第0期80-1卷 642-646页

作者： Chen, JS Roque, CMOL Pan, CH Button, ST Univ Iowa Dept Mech Engn Iowa City IA 52242 USA Univ Iowa Ctr Comp Aided Design Iowa City IA 52242 USA State Univ Campinas Fac Mech Engn BR-13083970 Campinas SP Brazil

Conventional finite element analysis of metal forming processes often breaks down due to severe mesh distortion. Since 1993, meshless methods have been considerably developed for structural applications. The main feature of these methods is that the domain of the problem is represented by a set of nodes, and a finite element mesh is unnecessary. This new generation of computational methods reduces time-consuming model generation and refinement effort, and it provides a higher rate of convergence than that of the conventional finite element methods. A meshless method based on the reproducing kernel particle method (RKPM) is applied to metal forming analysis. The displacement shape functions are developed from a reproducing kernel approximation that satisfies consistency conditions. The use of smooth shape functions with large support size are particularly effective in dealing with large material distortion in metal forming analysis. In this work, a collocation formulation is used in the boundary integral of the contact constraint equations formulated by a penalty method. Metal forming examples, such as ring compression test and upsetting, are analyzed to demonstrate the performance of the method. (C) 1998 Elsevier Science S.A. All rights reserved.

关键词： elasto-plasticity large deformation meshless method metal forming reproducing kernel particle method

来源：评论

学校读者我要写书评

暂无评论

NUMERICAL SIMULATION OF BULK METAL FORMING BY MESHLESS method

引用

INTERNATIONAL JOURNAL OF MODERN PHYSICS B 2009年第6-7期23卷 1615-1620页

作者： Liu, Hongsheng Xing, Zhongwen Harbin Inst Technol Sch Mech Engn Harbin 150001 Heilongjiang Peoples R China

Conventional finite element (FE) analysis of bulk metal forming processes often breaks down due to severe mesh distortion. In recent years, meshless methods have been considerably developed for structural applications. The main feature of these methods is that the problem domain is represented by a set of nodes, and a finite element mesh is unnecessary. This new generation of computational methods can avoid time-consuming meshing and remeshing. A meshless method based on reproducing kernel particle method (RKPM) is applied to bulk metal forming analysis. The displacement shape functions are developed from a reproducing kernel (RK) approximation that satisfies consistency conditions. The shape function is modified to impose essential boundary conditions accurately and expediently. A material kernel function that deforms with the material is introduced to assure the stability of the RKPM shape function during large deformations. A program based on RKPM is developed to simulate two examples of bulk metal forming process such as ring compression and cold upsetting, and numerical results demonstrate the performance of the meshless method in bulk metal forming analysis.

关键词： Meshless method reproducing kernel particle method finite element method bulk metal forming large deformation

来源：评论

学校读者我要写书评

暂无评论

The Meshless method for Numerical Solution of Modified Equal Width Wave (MEW) Equation

The Meshless Method for Numerical Solution of Modified Equal...

引用

2nd International Conference on Engineering Design and Optimization (ICEDO 2011)

作者： Cheng, Rongjun Ge, Hongxia Zhejiang Univ Ningbo Inst Technol Ningbo 315100 Zhejiang Peoples R China Ningbo Univ Fac Sci Ningbo 315211 Zhejiang Peoples R China

ISBN: (纸本)9783037852590

The reproducing kernel particle method (RKPM) is used in this paper to find the numerical solution of modified equal width wave (MEW) equation. A variational method is used to obtain the discrete equations, and the essential boundary conditions are enforced by the penalty method. The effectiveness of the RKPM for the modified equal width equation is investigated by two numerical examples in this paper.

关键词： reproducing kernel particle method Meshless method Modified equal width wave (MEW) equation Solitary wave

来源：评论

学校读者我要写书评

暂无评论

A deformation-dependent coupled Lagrangian/semi-Lagrangian meshfree hydromechanical formulation for landslide modeling

引用

ADVANCED MODELING AND SIMULATION IN ENGINEERING SCIENCES 2022年第1期9卷 1-35页

作者： Baek, Jonghyuk Schlinkman, Ryan T. Beckwith, Frank N. Chen, Jiun-Shyan Univ Calif San Diego Dept Struct Engn La Jolla CA 92093 USA Sandia Natl Labs Albuquerque NM USA

The numerical modelling of natural disasters such as landslides presents several challenges for conventional mesh-based methods such as the finite element method (FEM) due to the presence of numerically challenging phenomena such as severe material deformation and fragmentation. In contrast, meshfree methods such as the reproducing kernel particle method (RKPM) possess unique features conducive to modelling extreme events such as the absence of a structured mesh and the ease of adaptive refinement, among others. While the semi-Lagrangian reproducing kernel (SL-RK) shape functions of RKPM defined in the current configuration have proven to be effective in extreme event modelling, the computational cost for the re-evaluation of the shape functions at every time step is costly. In this work, a deformation-dependent coupling of the Lagrangian reproducing kernel (L-RK) and SL-RK approximations is proposed for the solution of a hydro-mechanical formulation for effective simulations of landslides. The ramp function is constructed based on an equivalent plastic strain as a deformation-dependent transition from L-RK shape functions to SL-RK ones as the deformation progresses. The particular focus of the paper will be on modelling seepage-induced landslides with a mixed u-p formulation to couple the solid and fluid phases. Examples are presented to examine the effectiveness of this coupled Lagrangian/semi-Lagrangian reproducing kernel (L-SL RK) formulation and to highlight its performance in landslide modelling.

关键词： Meshfree modeling reproducing kernel particle method Landslide Lagrangian semi-Lagrangian coupling

来源：评论

学校读者我要写书评

暂无评论

Meshless method for the Numerical Solution of a Kind of Linear Hyperbolic Equations

Meshless Method for the Numerical Solution of a Kind of Line...

引用

2nd International Conference on Engineering Design and Optimization (ICEDO 2011)

作者： Sun, Haina Cheng, Rongjun Ge, Hongxia Zhejiang Univ Ningbo Inst Technol Ningbo 315211 Zhejiang Peoples R China Ningbo Univ Fac Sci Ningbo Zhejiang Peoples R China

ISBN: (纸本)9783037852590

The present paper deals with the numerical solution of two-dimensional linear hyperbolic equation using the meshless reproducing kernel particle method (RKPM). A variational method is used to obtain the discrete equations and the essential boundary conditions that are enforced by the penalty method. The effectiveness RKPM for two-dimensional hyperbolic problems is investigated by two numerical examples in this paper.

关键词： reproducing kernel particle method Meshless method Hyperbolic problem

来源：评论

学校读者我要写书评

暂无评论

Meshless method ? Review on recent developments 10

Meshless method ? Review on recent developments

引用

10th International Conference of Materials Processing and Characterization (ICMPC)

作者： Patel, Vivek G. Rachchh, Nikunj V. Marwadi Univ Rajkot 360003 Gujarat India

The present article outlines the historical development of Meshless method. The high computational cost associated with conventional numerical methods and their lack of accuracy, particularly in the area of astrophysics is the motivation and an initiation towards the invention of latest meshless methods. The review starts with Smoothed particle hydrodynamics meshless method which was invented by Gingold, Monghan in 1977 for astrophysics applications. Furthermore, shortcomings of the SPH method, it's solution, and recent development has been reviewed for different applications. After that advent features of Element free Galerkin method with mean least square method and Lagrangian multiplier have been critically reviewed for different cases. Later, the radial basis function method is explained along with its extended version to solve a partial differential equation. Many types of RBF methods have been compared. Also, several consistency and accuracy problems are reviewed for reproducing kernel particle method. Recent advancement like generalization of RKPM method, hybrid of RKPM with Lagrangian multiplier has been briefed for a different approach. Additionally, feasibility, flexibility and several applications of Meshless local Petrov Galerkin have been reviewed. Lastly recent development of MLPG with Laplace transform to solve PDE have been studied. Afterwards, a different attribute of point collocation method for inherent multiresolution capability and error estimation has been reviewed for different applications. Briefly, the article provides a condensed overview of several meshless methods, its recent advancement and their applications. © 2019 Elsevier Ltd.

关键词： Element free galerkin Mean least square Meshless methods Radial basis function reproducing kernel particle method

来源：评论

学校读者我要写书评

暂无评论

MESHFREE VISCOELASTIC MODELING: TOWARD NUMERICAL SIMULATION OF PRINTING CONCRETE STRUCTURES

MESHFREE VISCOELASTIC MODELING: TOWARD NUMERICAL SIMULATION ...

引用

作者： Chen, Guang PennState University Libraries

学位级别：Master of Science

The conventional way of construction in building industry has many disadvantages, for example, the environmental pollution, massive energy consumption, less customization, and the intense human labor involved. A new, more efficient way of manufacturing construction materials could reduce time, cost and labor intensity, while providing design freedom for complex architectural forms. Towards this end, three dimensional (3D) printing, or additive manufacturing of concrete structures offers great *** technology however is still in its relative infancy, and further research is needed in order to bring this technology to the market. Specifically, the materials aspect of 3D printing pose many open research questions, such as rheological properties of the concrete that enabling effective pumping and printing, while also hardening quickly enough to support the weight of subsequent layers. In order to address these questions, two approaches can be employed: experiment and mathematical modeling. While an experiment approach alone is time consuming and costly, numerical simulation properly validated with experiments offers a far less costly and more effective *** numerically model the behavior of concrete at fresh or solidified state, a viscoelastic constitutive law for both small-strain and finite-strain are introduced based on the generalized Maxwell model. In the solidified state, a small strain version of the viscoelastic constitutive relation can be used to model phenomena likestress relaxation and creep. While for fresh state mixture, the large strain version can model the finite deformation present in the deposition process, and interface evolution in 3D printing. However, careful selection of a numerical framework is necessary, since in the traditional finite element approach, large deformations can cause mesh distortion and entanglement, and topological changes in the domain (free surface formation, closure) require computationally intensive remes

关键词： reproducing kernel particle method viscoelastic modeling Meshfree methods 3D printing

来源：评论

学校读者我要写书评

暂无评论

A fracture mechanics study of stress resultant intensity factors in stiffened panels employing RKPM meshfree FSDT modeling

引用

THIN-WALLED STRUCTURES 2024年 197卷

作者： Tanaka, Satoyuki Takata, Akihiro Matsuoka, Naoki Sadamoto, Shota Hiroshima Univ Grad Sch Adv Sci & Engn 4-1 Kagamiyama 1 Chome Higashihiroshima 7398527 Japan Fujitsu Ltd 4-1-1 KamikodanakaNakahara Ku Kawasaki Kanagawa 2118588 Japan

Panel cracking for stiffened panels is investigated based on linear elastic fracture mechanics. Meshfree flat shell formulation and fracture modeling are employed. After investigating stress distribution of the intact stiffened panel, the mode -I and mixed -mode crackings are studied using the stress resultant intensity factors (SRIFs). When the crack tip approaches to the stiffener, deformation around the crack is suppressed due to presence of the stiffeners. The mechanical behaviors are carefully examined by changing crack length, loading conditions and thickness of the main panel and stiffeners. Quantitative evaluation of SRIFs is addressed by comparing with the reference solutions. An in-depth discussion is provided for the meshfree modeling of the panel cracking in the stiffened panels. This series studies are useful for examining crack arrest effect of the stiffened panel due to presence of the stiffeners.

关键词： Stiffened panel Stress intensity factor Meshfree modeling reproducing kernel particle method

来源：评论

学校读者我要写书评

暂无评论

Analysis of laminated composite plates based on THB-RKPM method using the higher-order shear deformation plate theory

引用

SCIENTIA IRANICA 2019年第4期26卷 2057-2078页

作者： Atri, H. R. Shojaee, S. Shahid Bahonar Univ Kerman Dept Civil Engn Kerman Iran

In the present investigation, static free vibration and buckling response of laminated composite plates based on coupling of Truncated Hierarchical B-splines (THBsplines) with reproducing kernel particle method (RKPM) through higher-order shear deformation plate theory are presented. The coupled THB-RKPM method blends the advantages of the isogeometric analysis and meshfree methods. Since under certain conditions, the isogeometric B-spline and NURBS basis functions are exactly represented by reproducing kernel meshfree shape functions, recursive process of producing isogeometric bases can be omitted. More importantly, a seamless link between meshfree methods and isogeometric analysis can easily be defined, which provides an authentic meshfree approach to refining the model locally in isogeometric analysis. This procedure can be carried out using truncated hierarchical B-splines to construct new bases and adaptively refine them. It is shown that the THEt-RKPM method is ideally appropriate for local refinement of laminated composite plates in the framework of isogeometric analysis. The flexibility of the proposed method for refining basis functions leads to decrease in the computational cost without losing the accuracy of the solution. Numerical examples considering different boundary conditions and various aspect ratios, stiffness ratios, and fiber orientations demonstrated validity and versatility of the proposed method. (C) 2019 Sharif University of Technology. All rights reserved.

关键词： Laminated composite plates Higher-order shear deformation theory NURBS THB-splines reproducing kernel particle method

来源：评论

学校读者我要写书评

暂无评论

An RKPM-based formulation of the generalized probability density evolution equation for stochastic dynamic systems

引用

PROBABILISTIC ENGINEERING MECHANICS 2021年 66卷 1页

作者： Wang, Dan Sun, Weiling Li, Jie Tongji Univ Sch Civil Engn 1239 Siping Rd Shanghai 200092 Peoples R China Tongji Univ State Key Lab Disaster Reduct Civil Engn Shanghai 200092 Peoples R China

In the stochastic dynamic analysis, the probability density evolution method (PDEM) provides an optional way to capture the complete probability distribution of the stochastic response of general nonlinear systems. In the PDEM, the key point is to solve the generalized probability density evolution equation (GDEE), which governs the evolution of the joint probability density function (PDF) of the response and the randomness. In this paper, a new numerical method based on the reproducing kernel particle method (RKPM) is proposed. The GDEE can be approximated through the RKPM. By some particles in the response domain, the instantaneous PDF and its partial derivative with respect to response are smoothly expressed. Then, the approximated GDEE can be discretized directly at the collocation points in the response domain. At the same time, discretization in the time domain is achieved by the difference scheme. Therefore, the RKPM-based formulation to obtain the numerical solution of GDEE is formed. The implementation procedure of the proposed method is given in detail. The accuracy and efficiency of this method are illustrated with some numerical examples. Some details of parameter analysis are also discussed.

关键词： Stochastic dynamic system Probability density evolution method reproducing kernel particle method Collocation method

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：