检索结果-内蒙古大学图书馆

A multiscale computational method FOR 2D ELASTOPLASTIC DYNAMIC ANALYSIS OF HETEROGENEOUS MATERIALS

INTERNATIONAL JOURNAL FOR multiscale computational ENGINEERING 2014年第2期12卷 127-154页

作者： Zhang, Hongwu Liu, Hui Dalian Univ Technol Fac Vehicle Engn & Mech Dept Engn Mech State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China

The elastoplastic dynamic analysis of heterogeneous materials is studied based on the multiscale computational method developed in our previous work (Zhang et al., 2013). The basic principles of this method are introduced briefly. To describe the complex deformation, a 2D multinode coarse element is proposed. In addition, to improve the computational accuracy for the dynamic problems, mode base functions are introduced into the multiscale numerical base functions to consider the dynamic effect of the structure. For nonlinear elastic or elastoplastic dynamic problems, the microscopic unbalanced nodal force cannot be projected to the macroscopic level effectively only by the displacement and mode base functions when the nonlinear material deformation occurs during the computation. So a correction technique of the local displacement is applied to deal with the unprojected microscopic unbalance forces within the coarse element. Furthermore, the computational procedures of a two-scale modeling are proposed within the framework of nonlinear dynamic analysis. Extensive numerical experiments are carried out and the results are compared with the traditional finite element method (FEM) which is applied directly on the fine-scale mesh. It is shown that the proposed multiscale method can obtain excellent precision of the nonlinear dynamic response of the elastoplastic heterogeneous materials. Moreover, the computation comparisons indicate that the proposed method spends less computer memory and CPU time than the traditional FEM.

关键词： multiscale computational method heterogeneous material elastoplastic dynamic analysis numerical base functions

来源：评论

学校读者我要写书评

暂无评论

A new multiscale XFEM with projection method for interaction between macrocrack and microcracks

引用

ENGINEERING FRACTURE MECHANICS 2023年第1期285卷

作者： Liu, Guangzhong Guo, Jiamin Bao, Yan Shanghai Maritime Univ Sch Ocean Sci & Engn Shanghai Peoples R China Shanghai Jiao Tong Univ Sch Naval Architecture Ocean & Civil Engn Dept Civil Engn Shanghai Peoples R China

Crack develops through the accumulation and development of microcracks near its crack tip. In the present study, a new multiscale XFEM was proposed to simulate the interaction between macrocrack and microcracks. In the proposed method, a multiscale projection method is used to construct the discontinuous multiscale base functions, since the enrichment schemes at macro -scale and microscale differ. These multiscale base functions can correctly and conveniently deliver the discontinuous information between the macroscale and microscale. The strategy provides a new approach to address the deficiency that the traditional coarse elements in mul-tiscale finite element method (MsFEM) cannot well characterize the displacement jump on the boundary of the unit cell, therefore enables extended finite element method (XFEM) to be employed at both scales. The feasibility of the proposed method is demonstrated using three numerical examples: a bending beam containing a mixed mode crack, a macro crack interacting with two symmetrical micro cracks, and a macrocrack interacting with multiple micro cracks. The proposed method can provide detailed displacement field and accurate stress intensity factor results with high computational efficiency.

关键词： multiscale computational method Extended finite element method (XFEM) multiscale projection method Microcracks

来源：评论

学校读者我要写书评

暂无评论

A new multiscale computational method for elasto-plastic analysis of heterogeneous materials

引用

computational MECHANICS 2012年第2期49卷 149-169页

作者： Zhang, H. W. Wu, J. K. Lv, J. Dalian Univ Technol State Key Lab Struct Anal Ind Equipment Dept Engn Mech Fac Vehicle Engn & Mech Dalian 116024 Peoples R China

A new multiscale computational method is developed for the elasto-plastic analysis of heterogeneous continuum materials with both periodic and random microstructures. In the method, the multiscale base functions which can efficiently capture the small-scale features of elements are constructed numerically and employed to establish the relationship between the macroscopic and microscopic variables. Thus, the detailed microscopic stress fields within the elements can be obtained easily. For the construction of the numerical base functions, several different kinds of boundary conditions are introduced and their influences are investigated. In this context, a two-scale computational modeling with successive iteration scheme is proposed. The new method could be implemented conveniently and adopted to the general problems without scale separation and periodicity assumptions. Extensive numerical experiments are carried out and the results are compared with the direct FEM. It is shown that the method developed provides excellent precision of the nonlinear response for the heterogeneous materials. Moreover, the computational cost is reduced dramatically.

关键词： multiscale computational method Heterogeneous material Base function Elastoplasticity

来源：评论

学校读者我要写书评

暂无评论

A hierarchical multilevel finite element method for mechanical analyses of periodical composite structures

引用

COMPOSITE STRUCTURES 2015年第Nov.期131卷 115-127页

作者： Liu, Hui Sun, Xiaoyu Xu, Yuanjie Chu, Xihua Wuhan Univ Sch Civil Engn Dept Engn Mech Wuhan Hubei Peoples R China

A hierarchical multilevel finite element method (HMM) is developed for simulating mechanical behaviors of periodical composite structures. This method is established based on the idea of constructing shape function numerically which is proposed in the multiscale finite element method (MsFEM). In order to improve the computational accuracy, a hierarchical shape function and a modal shape function are also constructed numerically on sub-grids domain in addition to the original shape function. Then totally three kinds of numerical shape function are introduced in the proposed HMM. Correspondingly, the macroscopic displacement of coarse element can be divided into three parts which are contributed by nodal (original), hierarchical and modal shape functions, respectively. By virtue of these functions, the equivalent mass matrix, stiffness matrix and external loading vector of one single coarse element can be determined easily. The overall macroscopic quantities of whole composite structure are obtained by assembling those of each coarse element. Finally the original problems can be solved at the macroscopic scale, which will save amount of computational cost. To verify the validation and efficiency of the developed HMM, the static analysis, generalized eigenvalue analysis and transient response analysis are investigated. (C) 2015 Elsevier Ltd. All rights reserved.

关键词： Hierarchical multilevel finite element method multiscale computational method Numerical shape function Periodical composite structure

来源：评论

学校读者我要写书评

暂无评论

An efficient multiscale method for 2D dynamic analysis of the coupling system of fluid and heterogeneous structure

引用

FINITE ELEMENTS IN ANALYSIS AND DESIGN 2014年 85卷 59-72页

作者： Liu, Hui Zhang, Hongwu Dalian Univ Technol Fac Vehicle Engn & Mech Dept Engn Mech State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China Wuhan Univ Sch Civil Engn Dept Engn Mech Wuhan 430072 Peoples R China

The two-dimensional dynamic analysis of the coupling system of fluid and heterogeneous structure is investigated by using an efficient multiscale computational method. The macroscopic equations of the coupling system are deduced. The liquid pressure-based and solid displacement-based coarse elements are employed for the numerical simulation. In addition, the piecewise oscillating boundary condition and the Lagrange polynomial boundary condition are used to construct the displacement base function of the solid coarse element and the pressure base function of the liquid coarse element, respectively. Furthermore, the generalized mode base functions are introduced into the multiscale base functions of both the fluid and structure coarse elements to capture the dynamic effect of the coarse element and improve the computational accuracy effectively. The predictor-corrector scheme is applied to solve the macroscopic transient response equation of the coupling system. Finally, several numerical examples are carried out to verify the validity and high efficiency of the proposed multiscale method by comparison with the fine-scale reference solutions. (C) 2014 Elsevier B.V. All rights reserved.

关键词： multiscale computational method Heterogeneous structure Fluid-structure interaction Dynamic analysis Pressure formulation

来源：评论

学校读者我要写书评

暂无评论

An equivalent multiscale method for 2D static and dynamic analyses of lattice truss materials

引用

ADVANCES IN ENGINEERING SOFTWARE 2014年 75卷 14-29页

作者： Liu, H. Zhang, H. W. Wuhan Univ Sch Civil Engn Dept Engn Mech Wuhan 430072 Peoples R China Dalian Univ Technol Fac Vehicle Engn & Mech Dept Engn Mech State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China

A uniform multiscale computational method is developed for 2D static and dynamic analyses of lattice truss materials in elasticity based on the extended multiscale finite element method. A kind of multi-node coarse element is proposed to describe the more complex deformations compared with the original four-node coarse element and the mode base functions are added into the original multiscale base functions to consider the effects of inertial forces for the dynamic problems. The constructions of the displacement and mode base functions are introduced in detail. In addition, the orthogonality of the displacement and mode base functions are also proved, which indicates that the macroscopic displacement DOF and modal DOF are irrelevant and independent of each other. Finally, some numerical experiments are carried out to verify the validity and efficiency of the proposed method by comparison with the reference solution obtained by the standard finite element method on the fine mesh. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： multiscale computational method Dynamic analysis Lattice truss materials multiscale base functions Continuum model Mode base function

来源：评论

学校读者我要写书评

暂无评论

A uniform multiscale method for 3D static and dynamic analyses of heterogeneous materials

引用

computational MATERIALS SCIENCE 2013年 79卷 159-173页

作者： Liu, H. Zhang, H. W. Dalian Univ Technol Dept Engn Mech Fac Vehicle Engn & Mech State Key Lab Struct Anal Ind Equipment Dalian 116024 Peoples R China

In this paper, a uniform multiscale method is developed for 3D static and dynamic analyses of heterogeneous materials based on our previous work (H. W. Zhang, H. Liu, J.K. Wu, International Journal for Numerical methods in Engineering 93 (2013) 714-746). A new 3D multi-node coarse element is provided to simulate the complex deformation and the approach is elaborated to construct the displacement base functions numerically. For the dynamic problems, to consider the effect of the interior forces of the structure, the mode base functions are introduced for improving the computational accuracy. In addition, the orthogonality between the displacement and mode base functions indicates that this proposed multiscale method can be used for the static and dynamic analyses uniformly. Finally, several typical numerical examples are carried out to verify the validity and high efficiency of this multiscale method by comparison with the reference solutions. (C) 2013 Elsevier B. V. All rights reserved.

关键词： multiscale computational method Dynamic analysis Numerical base functions Heterogeneous materials

来源：评论

学校读者我要写书评

暂无评论

A parallel and multiscale strategy for the parametric study of transient dynamic problems with friction

引用

INTERNATIONAL JOURNAL FOR NUMERICAL methodS IN ENGINEERING 2011年第7期88卷 657-672页

作者： Boucard, P. -A. Odievre, D. Gatuingt, F. Univ Paris 06 ENS Cachan PRES UniverSud Paris LMT CachanCNRS F-94230 Cachan France

The objective of this work is to develop an efficient strategy for the parametric study of dynamic problems involving contacts with friction. Our approach is based on the multiscale LATIN method with domain decomposition. This is a mixed method that deals with the forces and velocities at the interfaces between the different subdomains simultaneously. We propose to take advantage of the capability of the multiscale LATIN method, called the multiparametric strategy, to reuse the solution of a given problem in order to solve similar problems. This strategy has already been applied successfully to a variety of static problems;here, it is extended to dynamics. First, we present the multiscale strategy in dynamics. Then, we show how the multiparametric strategy can be extended to dynamics. We illustrate the capabilities of the method through an academic 3D example and the simulation of a bolted joint. Copyright (C) 2011 John Wiley & Sons, Ltd.

关键词： parametric study multiscale computational method transient dynamics domain decomposition contact friction parallel processing

来源：评论

学校读者我要写书评

暂无评论

A parallel, multiscale domain decomposition method for the transient dynamic analysis of assemblies with friction

引用

COMPUTER methodS IN APPLIED MECHANICS AND ENGINEERING 2010年第21-22期199卷 1297-1306页

作者： Odievre, D. Boucard, P. -A. Gatuingt, F. Univ Paris 06 LMT Cachan ENS Cachan PRES UniverSud Parid F-94230 Cachan France

The objective of this work is to develop an efficient strategy for dynamic problems with multiple contacts. Our approach is based on the multiscale LATIN method with domain decomposition. This is a mixed method which deals simultaneously with the forces and velocities at the interfaces of the different sub-domains. This strategy has already been applied successfully to a variety of static problems: here, it is extended to dynamics. First, we show how the multiscale strategy can be extended to dynamics. Then, we illustrate the capabilities of the method through a 3D academic example and the simulation of a heterogeneous material. (C) 2009 Elsevier B.V. All rights reserved.

关键词： multiscale computational method Transient dynamics Domain decomposition Contact Friction Parallel processing

来源：评论

学校读者我要写书评

暂无评论

A Parallel and multiscale Domain Decomposition Approach for Transient Dynamics

A Parallel and Multiscale Domain Decomposition Approach for ...

引用

1st International Conference on Parallel, Distributed and Grid Computing for Engineering

作者： Odievre, D. Boucard, P. -A. Gatuingt, F. Univ Paris 11 PRES Univ Paris 06 CNRSENS CachanLMT Cachan Cachan France

ISBN: (纸本)9781905088294

The aim of the present work is to develop an efficient strategy for the simulation of dynamic problems with multiple contacts. The approach is based on the multiscale LATIN method with domain decomposition. This iterative computational strategy is suitable for parallel computing on PCs cluster. It allows to compute problems with a large number of degrees of freedom. This strategy has already been applied successfully to a variety of static problems;here, it is extended to dynamics.

关键词： multiscale computational method transient dynamics domain decomposition LATIN method contact friction assembly

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：