Isogeometric contact analysis using mortar method
Isogeometric contact analysis using mortar method
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DOI：
10.1002/nme.3300
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发表时间：
2012-03
影响因子：
2.9
通讯作者：
Ji‐Yeon Kim;S. Youn
中科院分区：
文献类型：
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作者：
Ji‐Yeon Kim;S. Youn
本文提出了一种用砂浆法进行等几何接触分析的方法。由于采用等几何分析方法进行接触分析，既保持了接触区域的几何精确性，又不会因几何逼近而造成几何数据的损失。因此，所提出的方法可以克服传统的基于有限元（FE）的接触分析中接触面几何近似所导致的潜在缺点。对于等几何接触分析，处理接触条件和检测实际接触表面的方案是必不可少的。在该方法中，采用砂浆法作为非均匀接触处理方案，因为它可以很好地协调非均匀有理B样条曲线的有用特性。提出了一种新的匹配算法，将砂浆法与等几何分析相结合，以保证接触面信息与非均匀有理B样条曲线的一致性。该方案通过斑片试验和众所周知的理论解决问题如过盈配合和赫兹接触问题进行了验证。结果表明，传统方法难以处理的曲面接触问题可以很容易地处理。版权所有©2011 John Wiley & Sons， Ltd
In the present work, an isogeometric contact analysis scheme using mortar method is proposed. Because the isogeometric analysis is employed for contact analysis, the geometric exactness of the contact region is maintained without any loss of geometric data because of geometry approximation. Thus, the proposed method can overcome underlying shortcomings that result from the geometric approximation of contact surfaces in the conventional finite element (FE)‐based contact analysis. For an isogeometric contact analysis, the schemes for treating the contact conditions and detecting the real contact surfaces are essentially required. In the proposed method, the mortar method is adopted as a nonconforming contact treatment scheme because it is expected to be in good harmony with the useful characteristics of nonuniform rational B‐spline A new matching algorithm is proposed to combine the mortar method with the isogeometric analysis to guarantee consistent contact surface information with the nonuniform rational B‐spline curve. The present scheme is verified by patch test and the well‐known problems which have theoretical solutions such as interference fit and the Hertzian contact problem. It is shown that the problems with curved contact surfaces which are difficult to treat by conventional approaches can be easily dealt with. Copyright © 2011 John Wiley & Sons, Ltd.