近场动力学与有限元的混合建模方法

发布时间：2018-02-19 19:14

  本文关键词： 近场动力学 有限元 混合建模 非局部 不连续力学问题　出处：《计算力学学报》2016年04期 　论文类型：期刊论文

【摘要】：综述了近场动力学与有限元混合建模方法的研究进展,阐明了各种混合建模方法的基本原理与特点,并重点介绍本课题组在近场动力学与有限元方法混合建模方面的研究工作。现有近场动力学与有限元混合建模方法包括位移协调约束、力耦合、混合函数方法以及子模型方法等,除子模型方法外,都可归结为并行式多尺度分析方法,其基本思想是将计算结构划分为近场动力学子域、有限元子域以及两者的交界区域(或重叠区域、或界面单元、或过渡区域)。子模型方法可归结为显-显分析方法,先采用显式有限元进行整体分析,后采用近场动力学方法对重点区域进行分析。混合建模方法需要着重提高交界区域的计算精度,并且消除虚假力和虚假应力波问题。提出了通过力耦合的近场动力学与有限元混合建模的隐式分析方法,该方法不再设置重叠区,通过杆单元连接近场动力学子域与有限元子域,其中界面上的有限元结点不仅与其所在单元的其他结点发生作用,还通过杆单元与以其为圆心、一定半径的圆域内的其他物质点相互作用。研究表明,本文提出的混合模型和求解方法既能有效解决裂纹扩展等不连续问题,又可提高计算效率,为工程结构破坏问题的计算分析提供一种有效方法。
[Abstract]:The research progress of hybrid modeling methods of near-field dynamics and finite element is reviewed. The basic principles and characteristics of various hybrid modeling methods are expounded. The research work of our group on hybrid modeling of near-field dynamics and finite element method is introduced. The existing hybrid modeling methods of near-field dynamics and finite element method include displacement coordination constraint, force coupling, and so on. The mixed function method and the submodel method, except the submodel method, can be reduced to the parallel multi-scale analysis method. The basic idea is to divide the computational structure into subdomains of near-field dynamics. The finite element subdomain and the boundary region (or overlapping area, interface element, or transition region) of the finite element method can be reduced to explicit and explicit analysis method, and the explicit finite element method is used for the whole analysis. After that, the near field dynamics method is used to analyze the key area. The hybrid modeling method needs to improve the accuracy of the boundary area. And the problem of false force and false stress wave is eliminated. An implicit analysis method of hybrid modeling of near-field dynamics and finite element by force coupling is proposed. The finite element node on the interface not only acts with the other nodes of the element, but also through the bar element with the center of the circle through the bar element connecting the near field dynamic subdomain with the finite element subdomain, in which the finite element node on the interface acts not only with the other nodes of the element where it is located. The results show that the hybrid model and the solution method proposed in this paper can not only effectively solve the discontinuous problems such as crack growth, but also improve the computational efficiency. It provides an effective method for the calculation and analysis of engineering structure failure problem.
【作者单位】： 河海大学力学与材料学院工程力学系;
【基金】：国家自然科学基金(11372099;11132003) 江苏省自然科学基金(BK20151493) 国家科技支撑计划(2015BAB07B10)资助项目
【分类号】：O33;O302
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本文编号：1517899