On the correction of the boundary deficiency in SPH for the frictional contact simulation
On the correction of the boundary deficiency in SPH for the frictional contact simulation
复制标题
摩擦接触模拟中SPH边界缺陷的修正
DOI：
10.1007/s11431-013-5424-x
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发表时间：
2014
影响因子：
4.6
通讯作者：
Gu C S
中科院分区：
文献类型：
--
作者：
Wang J;Hua H;Gu C S
光滑粒子流体动力学（SPH）是一种无网格方法，是求解土体大变形问题的有效方法。然而，由于边界条件的限制，岩土工程中常见的摩擦接触问题的模拟算法还很不成熟。本文分析了摩擦接触SPH模拟中边界缺陷产生的原因。然后，基于数学推导，从理论上讨论了与摩擦接触有关的边界缺陷的修正方法，其中摩擦接触算法是根据已有的接触边界将计算区域划分为若干子域，以接触力作为子域间的桥梁来完成问题求解，修正系数的值由接触颗粒的SPH结果与牛顿第二定律计算的SPH结果比较而得。同时，从数值计算的角度，提出了修正系数的优化取值，并对三次样条核函数和五次样条核函数进行了深入研究，得到修正系数分别为2.0和[2.0，2.16]。最后，通过数值试验验证了该方法的有效性.研究结果有助于为SPH框架下的摩擦接触仿真研究提供理论支持。
Smoothed particle hydrodynamics (SPH) is a mesh-free method which is powerful for large deformation computation of soils. However, the algorithm for the simulation of frictional contact which is common in geotechnical engineering is still quite immature due to the boundary deficiency. In this study, the cause of boundary deficiency in the SPH simulation for frictional contact is analysed. Then, based on mathematical derivation, the method to correct boundary deficiency related to frictional contact is discussed theoretically, where the frictional contact algorithm is established by dividing the computational domain into several subdomains according to the existing contact boundaries and by using contact forces as bridges of these subdomains to fulfil problem solving, and the value of correction coefficient is obtained by comparing the SPH outcome of the contact particles with that calculated through Newton’s second law of motion. At the same time, from the perspective of numerical computation, an optimized value for the correction coefficient is proposed, and a thorough investigation is performed on the cubic spline kernel function and quintic spline kernel function, whose correction coefficients are found to be 2.0 and [2.0, 2.16], respectively. Finally, numerical tests are carried out to verify the proposed method. The outcome of the study is helpful to providing theoretical support for the research of frictional contact simulation within the framework of SPH.
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DOI：
10.1016/j.cpc.2006.06.015
发表时间：
2006-11
期刊：
Comput. Phys. Commun.
影响因子：
--
作者：
Songwon Seo;O. Min
通讯作者：
Songwon Seo;O. Min
DOI：
10.1002/nag.705
发表时间：
2009-02
影响因子：
4
作者：
Manuel Pastor;B. Haddad;G. Sorbino;S. Cuomo;V. Drempetic
通讯作者：
Manuel Pastor;B. Haddad;G. Sorbino;S. Cuomo;V. Drempetic
DOI：
10.1016/s0045-7825(01)00254-7
发表时间：
2001-01-01
影响因子：
7.2
作者：
Gray, JP;Monaghan, JJ;Swift, RP
通讯作者：
Swift, RP
DOI：
10.1002/nme.2010
发表时间：
2007-10-15
影响因子：
2.9
作者：
Feldman, J.;Bonet, J.
通讯作者：
Bonet, J.
影响因子：
2.8
作者：
Xin Liu;Haihua Xu;Songdong Shao;P. Lin
通讯作者：
Xin Liu;Haihua Xu;Songdong Shao;P. Lin