本文選題：移動(dòng)最小二乘插值　切入點(diǎn)：數(shù)值流形法　出處：《工程力學(xué)》2017年11期

【摘要】：摩擦接觸問題的求解是將基于移動(dòng)最小二乘插值的數(shù)值流形法(MLS-NMM)應(yīng)用到裂紋擴(kuò)展的必經(jīng)之路。該文通過結(jié)合罰-線性互補(bǔ)方式的施加接觸邊界條件,并使用拉格朗日乘子法施加本質(zhì)邊界條件,得出一套基于MLS_NMM的摩擦接觸問題的求解體系。該方法無需節(jié)點(diǎn)與邊界重合,則可域外布點(diǎn)和均勻布點(diǎn),來提高插值精度和降低布點(diǎn)難度,尤其是接觸邊界處。采用罰-線性互補(bǔ)的方式施加接觸條件,使計(jì)算格式統(tǒng)一而簡潔,利于編程實(shí)現(xiàn)。通過算例表明,該方法能準(zhǔn)確地模擬接觸面的張開、黏結(jié)和滑動(dòng)狀態(tài),證明該方法對求解接觸摩擦問題是可行的、有效的。
[Abstract]:The solution of friction contact problem is the only way to apply MLS-NMMM based on moving least square interpolation to crack growth.In this paper, a solution system of friction contact problem based on MLS_NMM is obtained by applying the contact boundary condition in combination with the penalty linear complementary method and using the Lagrange multiplier method to apply the essential boundary condition.This method can increase the interpolation accuracy and reduce the difficulty of collocation, especially at the contact boundary, because the nodes do not have to coincide with the boundary.By applying contact condition in the way of penalty-linear complementarity, the calculation format is uniform and concise, which is easy to be realized by programming.The numerical examples show that the method can accurately simulate the opening, bonding and sliding states of contact surfaces. It is proved that this method is feasible and effective for solving contact friction problems.
【作者單位】： 中國科學(xué)院武漢巖土力學(xué)研究所巖土力學(xué)與工程國家重點(diǎn)實(shí)驗(yàn)室;中國科學(xué)院大學(xué);
【基金】：國家973項(xiàng)目(2014CB047100) 國家自然科學(xué)基金項(xiàng)目(11572009,51538001)
【分類號】：TU45

【相似文獻(xiàn)】

相關(guān)期刊論文 前1條

1 馬文濤;師俊平;李寧;;模擬摩擦接觸問題的新型無網(wǎng)格數(shù)值方法[J];巖土力學(xué);2012年10期

相關(guān)會(huì)議論文 前1條

1 孫常玉;宮必寧;陳云;;三維動(dòng)力摩擦接觸算例分析[A];首屆全國水工抗震防災(zāi)學(xué)術(shù)會(huì)議論文集[C];2006年

，

本文編號：1696004