本文關(guān)鍵詞： 近場動(dòng)力學(xué) 有限元 混合建模 非局部 不連續(xù)力學(xué)問題　出處：《計(jì)算力學(xué)學(xué)報(bào)》2016年04期 　論文類型：期刊論文

【摘要】：綜述了近場動(dòng)力學(xué)與有限元混合建模方法的研究進(jìn)展,闡明了各種混合建模方法的基本原理與特點(diǎn),并重點(diǎn)介紹本課題組在近場動(dòng)力學(xué)與有限元方法混合建模方面的研究工作�，F(xiàn)有近場動(dòng)力學(xué)與有限元混合建模方法包括位移協(xié)調(diào)約束、力耦合、混合函數(shù)方法以及子模型方法等,除子模型方法外,都可歸結(jié)為并行式多尺度分析方法,其基本思想是將計(jì)算結(jié)構(gòu)劃分為近場動(dòng)力學(xué)子域、有限元子域以及兩者的交界區(qū)域(或重疊區(qū)域、或界面單元、或過渡區(qū)域)。子模型方法可歸結(jié)為顯-顯分析方法,先采用顯式有限元進(jìn)行整體分析,后采用近場動(dòng)力學(xué)方法對重點(diǎn)區(qū)域進(jìn)行分析。混合建模方法需要著重提高交界區(qū)域的計(jì)算精度,并且消除虛假力和虛假應(yīng)力波問題。提出了通過力耦合的近場動(dòng)力學(xué)與有限元混合建模的隱式分析方法,該方法不再設(shè)置重疊區(qū),通過桿單元連接近場動(dòng)力學(xué)子域與有限元子域,其中界面上的有限元結(jié)點(diǎn)不僅與其所在單元的其他結(jié)點(diǎn)發(fā)生作用,還通過桿單元與以其為圓心、一定半徑的圓域內(nèi)的其他物質(zhì)點(diǎn)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決裂紋擴(kuò)展等不連續(xù)問題,又可提高計(jì)算效率,為工程結(jié)構(gòu)破壞問題的計(jì)算分析提供一種有效方法。
[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.
【作者單位】： 河海大學(xué)力學(xué)與材料學(xué)院工程力學(xué)系;
【基金】：國家自然科學(xué)基金(11372099;11132003) 江蘇省自然科學(xué)基金(BK20151493) 國家科技支撐計(jì)劃(2015BAB07B10)資助項(xiàng)目
【分類號】：O33;O302
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本文編號：1517899