检索结果-内蒙古大学图书馆

contact algorithm of the material point method and comparison with the finite element method

COMPUTATIONAL GEOSCIENCES 2024年第6期28卷 1015-1030页

作者： Huang, Peng Liu, Dong-huan Guo, Hu Xie, Ke Zhang, Qing-ping Deng, Zhi-fang China Acad Engn Phys Inst Syst Engn Mianyang 621900 Peoples R China Univ Sci & Technol Beijing Sch Math & Phys Beijing Key Lab Magneto Photoelect Composite & Int Beijing 100083 Peoples R China

Being a fully Lagrangian particle method, the material point method (MPM) discretizes a material domain by using a collection of material points. The momentum equations in MPM are solved on a predefined regular background grid, so that the grid distortion and entanglement are completely avoided in MPM. The contact algorithm of MPM is developed via the background grid and the impenetrability condition between bodies. The contact algorithm of MPM is applied to solve some impact and perforation problems. This study concerns the validation of the contact algorithm of MPM. Solutions from MPM with the contact algorithm are compared to those from the finite element method (FEM) with the penalty method. For two impact problems, the results from MPM with the contact algorithm are in good agreement with those obtained with the FEM penalty method. For the perforation problem of aluminum plate, the results obtained using MPM with the contact algorithm are better than those from the FEM penalty method. We think that for impact problems without extreme large deformations, it is better to use the FEM penalty method. For impact problems with extreme large deformations, it is better to use the contact algorithm of MPM.

关键词： Material point method contact algorithm Finite element method Impact problems

来源：评论

学校读者我要写书评

暂无评论

A contact algorithm for shell problems via Delaunay-based meshing of the contact domain

引用

COMPUTATIONAL MECHANICS 2013年第1期52卷 1-16页

作者： Kamran, K. Rossi, R. Onate, E. Int Ctr Numer Methods Engn CIMNE Barcelona 08034 Spain Univ Politecn Cataluna Barcelona Spain

The simulation of the contact within shells, with all of its different facets, represents still an open challenge in Computational Mechanics. Despite the effort spent in the development of techniques for the simulation of general contact problems, an all-seasons algorithm applicable to complex shell contact problems is yet to be developed. This work focuses on the solution of the contact between thin shells by using a technique derived from the particle finite element method together with a rotation-free shell triangle. The key concept is to define a discretization of the contact domain (CD) by constructing a finite element mesh of four-noded tetrahedra that describes the potential contact volume. The problem is completed by using an assumed-strain approach to define an elastic contact strain over the CD.

关键词： PFEM contact algorithm Thin shells contact domain method Constrained Delaunay tetrahedralization

来源：评论

学校读者我要写书评

暂无评论

A contact algorithm for 3D discrete and finite element contact problems based on penalty function method

引用

COMPUTATIONAL MECHANICS 2011年第5期48卷 541-550页

作者： Zang, Mengyan Gao, Wei Lei, Zhou S China Univ Technol Sch Mech & Automot Engn Guangzhou 510640 Peoples R China

A contact algorithm in the context of the combined discrete element (DE) and finite element (FE) method is proposed. The algorithm, which is based on the node-to-surface method used in finite element method, treats each spherical discrete element as a slave node and the surfaces of the finite element domain as the master surfaces. The contact force on the contact interface is processed by using a penalty function method. Afterward, a modification of the combined DE/FE method is proposed. Following that, the corresponding numerical code is implemented into the in-house developed code. To test the accuracy of the proposed algorithm, the impact between two identical bars and the vibration process of a laminated glass plate under impact of elastic sphere are simulated in elastic range. By comparing the results with the analytical solution and/or that calculated by using LS-DYNA, it is found that they agree with each other very well. The accuracy of the algorithm proposed in this paper is proved.

关键词： contact algorithm Discrete element method Finite element method Combined algorithm Penalty method

来源：评论

学校读者我要写书评

暂无评论

A particle-element contact algorithm incorporated into the coupling methods of FEM-ISPH and FEM-WCSPH for FSI problems

引用

OCEAN ENGINEERING 2016年 123卷 154-163页

作者： Long, Ting Hun, Dean Yang, Gang Wan, Detao Hunan Univ State Key Lab Adv Design & Mfg Vehicle Body Changsha 410082 Hunan Peoples R China

Numerical simulation of FSI problems is one of the most important topics in computational fluid dynamics. In this paper, a particle-element contact algorithm is incorporated into coupling methods of FEM-ISPH and FEM-WCSPH for solving FSI problems. The objective of contact algorithm is to adjust positions and normal velocities of slave particles and master nodes by conservation of linear momentum and angular momentum. Compared with particle particle contact algorithm, which is based on contact force of Monaghan boundary condition, the calculation of contact force is not required in the present contact algorithm. Moreover, correction algorithms of Yildiz et al. are used for both WCSPH and ISPH to treat noises in fluid field and improve the accuracy of numerical simulations. Numerical examples investigate the comparison of particle-element contact algorithm and commonly used particle particle contact algorithm, and it indicates that the present contact algorithm is effective for FSI problems. (C) 2016 Elsevier Ltd. All rights reserved.

关键词： contact algorithm Coupling method Linear momentum Angular momentum FSI problems

来源：评论

学校读者我要写书评

暂无评论

A numerical contact algorithm in saturated porous media with the extended finite element method

引用

COMPUTATIONAL MECHANICS 2014年第5期54卷 1089-1110页

作者： Khoei, A. R. Vahab, M. Sharif Univ Technol Dept Civil Engn Ctr Excellence Struct & Earthquake Engn Tehran Iran

In this paper, a coupled hydro-mechanical formulation is developed for deformable porous media subjected to crack interfaces in the framework of extended finite element method. Governing equations of the porous medium consist of the momentum balance of the bulk together with the momentum balance and continuity equations of the fluid phase, known as formulation. The discontinuity in fractured porous medium is modeled for both opening and closing modes that results in the fluid flow within the fracture, and/or contact behavior at the crack edges. The fluid flow through the fracture is assumed to be viscous and is modeled by employing the Darcy law in which the permeability of fracture is obtained using the cubic law. The contact condition in fractured porous medium is handled by taking the advantage from two different algorithms of LATIN method and penalty algorithm. The effect of contact on fluid phase is employed by considering no leak-off from/into the porous medium. The nonlinearity of coupled equations produced due to opening and closing modes is carried out using an iterative algorithm in the Newton-Raphson procedure. Finally, several numerical examples are solved to illustrate the performance of proposed X-FEM method for hydro-mechanical behavior of fractured porous media with opening and closing modes.

关键词： Saturated porous media u-p formulation X-FEM method contact algorithm Crack interface

来源：评论

学校读者我要写书评

暂无评论

A critical assessment and contact algorithm for the staggered grid material point method

引用

INTERNATIONAL JOURNAL OF MECHANICS AND MATERIALS IN DESIGN 2021年第4期17卷 743-766页

作者： Kan, Lei Liang, Yong Zhang, Xiong Tsinghua Univ Sch Aerosp Engn Beijing 100084 Peoples R China Univ Calif Berkeley Dept Civil & Environm Engn Berkeley CA 94720 USA

The material point method (MPM) has demonstrated itself as an effective numerical method to simulate extreme events with large deformations. However, the original MPM suffers several defects caused by the particle quadrature, including cell crossing noise, low spatial integration accuracy, and loss of spatial convergence. Our newly developed staggered grid material point method (SGMP) employs the cell center quadrature to efficiently eliminate the cell crossing noise and to recover the spatial convergence. In this paper, the SGMP is further formulated with the updated stress last, updated stress first and modified updated stress last schemes. The energy errors of the SGMP with different schemes are derived analytically to study their accuracy and stability. The performance of the SGMP is critically assessed by investigating its performance in terms of convergence, stability, dissipation and efficiency theoretically and numerically. This study shows that the SGMP performs much better than the MPM. In addition, a contact algorithm is also developed for the SGMP to model the contact-impact problems, and is verified by several numerical examples.

关键词： Material point method Staggered grid Energy error contact algorithm

来源：评论

学校读者我要写书评

暂无评论

A contact algorithm for the Signorini problem using space-time finite elements

引用

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2004年第7期60卷 1197-1213页

作者： Pattillo, PD Tortorelli, DA Univ Illinois Dept Mech & Ind Engn Urbana IL 61801 USA Univ Illinois Dept Theoret & Appl Mech Urbana IL 61801 USA

The most common approach in the finite-element modelling of continuum systems over space and time is to employ the finite-element discretization over the spatial domain to reduce the problem to a system of ordinary differential equations in time. The desired time integration scheme can then be used to step across the so-called time stabs, mesh configurations in which every element shares the same degree of time refinement. These techniques may become inefficient when the nature of the initial boundary value problem is such that a high degree of time refinement is required only in specific spatial regions of the mesh. Ideally one would be able to increase the time refinement only in those necessary regions. We achieve this flexibility by employing space-time elements with independent interpolation functions in both space and time. Our method is used to examine the classic contact problem of Signorini and allows us to increase the time refinement only in the spatial region adjacent to the contact interface. We also develop an interface-tracking algorithm that tracks the contact boundary through the space-time mesh and compare our results with those of Hertz contact theory. Copyright (C) 2004 John Wiley Sons, Ltd.

关键词： contact algorithm space-time finite elements Signorini problem

来源：评论

学校读者我要写书评

暂无评论

Application of an improved contact algorithm for penetration analysis in SPH

引用

INTERNATIONAL JOURNAL OF IMPACT ENGINEERING 2008年第6期35卷 578-588页

作者： Seo, Songwon Min, Oakkey Lee, Jaehoon Yonsei Univ Grad Sch Dept Engn Mech Seoul 120749 South Korea Yonsei Univ Sch Mech Engn Seoul 120749 South Korea

A numerical algorithm to analyze an elasto-plastic contact problem using the smoothed particle hydrodynamics (SPH) method is proposed. In order to solve the contact problem with SPH when both bodies are deformable. a variational equation based on the virtual work principle is derived and its solution is obtained by the penalty method. Methods to find the boundary particles and to determine the boundary normal vector are reviewed to apply to the contact algorithm. In calculating the actual penetration and penetration rate, a method that can determine the actual normal boundary vector through the contact relationship with a contact surface is proposed. A numerical simulation is conducted to validate the proposed method in cylindrical coordinates. A steel ball 10 mm in diameter impacting a thin steel plate of 1 mm thickness at a high velocity such as 200 m/s is chosen to verify that the contact algorithm can be applied to the penetration problem. The final shape results obtained by the proposed contact algorithm are more similar to the experimental results than the conventional SPH analysis results. (c) 2007 Elsevier Ltd. All rights reserved.

关键词： contact algorithm penetration boundary vector high velocity

来源：评论

学校读者我要写书评

暂无评论

Proposal of a coupled DDA-SPH method incorporating a new contact algorithm for soil-structure interaction simulations in geotechnical hazards

引用

COMPUTERS AND GEOTECHNICS 2023年 164卷

作者： Peng, Xinyan Yu, Pengcheng Zhu, Hui Cheng, Xiao Zhang, Yingbin Li, Changze Sichuan Univ Inst Disaster Management & Reconstruct MOE Key Lab Deep Earth Sci & Engn Chengdu Peoples R China Southwest Jiaotong Univ Sch Civil Engn Dept Geotech Engn Chengdu Peoples R China Kyoto Univ Disaster Prevent Res Inst Kyoto Japan

Accurate description of soil-structure interaction problems in geotechnical hazards is challengeable. A coupled method is a potential approach to solve such problems. Discontinuous deformation method (DDA) can be used to describe structure behavior and smoothed particle hydrodynamics (SPH) suits well for capturing soil behavior;meanwhile, the coupled DDA-SPH method can simulate complex soil-structure interaction through a contact algorithm. In the original contact algorithm, a penalty method using the Mohr-Coulomb failure criterion is utilized to embody the interaction forces. However, five calculation parameters are involved and should be chosen carefully. Moreover, the energy dissipation cannot be considered quantitatively and suitably. To overcome these drawbacks, a new contact algorithm is proposed in this study. This new contact algorithm can consider the friction and energy dissipation at contacts between DDA blocks and SPH particles using two physical parameters (including the interface friction angle and coefficient of restitution). Several validation examples were carried out to investigate the performance of the newly coupled DDA-SPH method. The simulated results were compared with theoretical solutions or those obtained by other different numerical methods, which shows good agreements. This suggests that the newly coupled DDA-SPH method can be applied to conduct the soilstructure interaction simulations with ease.

关键词： Soil-structure interaction Discontinuous deformation method (DDA) Smoothed particle hydrodynamics (SPH) Coupled method contact algorithm Energy dissipation

来源：评论

学校读者我要写书评

暂无评论

A contact algorithm for frictional crack propagation with the extended finite element method

引用

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2008年第10期76卷 1489-1512页

作者： Liu, Fushen Borja, Ronaldo I. Stanford Univ Dept Civil & Environm Engn Stanford CA 94305 USA

We present an incremental quasi-static contact algorithm for path-dependent frictional crack propagation in the framework of the extended finite element (FE) method. The discrete formulation allows for the modeling of frictional contact independent of the FE mesh. Standard Coulomb plasticity model is introduced to model the frictional contact on the Surface of discontinuity. The contact constraint is borrowed from nonlinear contact mechanics and embedded within a localized element by penalty method. Newton-Raphson iteration with consistent linearization is used to advance the solution. We show the superior convergence performance of the proposed iterative method compared with a previously published algorithm called 'LATIN' for frictional crack propagation. Numerical examples include simulation of crack initiation and propagation in 2D plane strain with and without bulk plasticity. In the presence of bulk plasticity, the problem is also solved using an augmented Lagrangian procedure to demonstrate the efficacy and adequacy of the standard penalty solution. Copyright (C) 2008 John Wiley & Sons, Ltd.

关键词： contact algorithm frictional crack extended finite element 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：