應(yīng)yl7703永利官網(wǎng)邀請(qǐng)，北京師范大學(xué)李海剛教授將于2021年4月15日在線舉辦專題學(xué)術(shù)講座，熱忱歡迎諸位老師、研究生的參加。

報(bào)告題目: Babuska Problem in Composite Materials and Suspension Problem in Stokes Flow

時(shí)間：4月15日下午2：30。

地點(diǎn)：理工樓518(騰訊會(huì)議)。

騰訊會(huì)議ID：965 702 268

摘要：In a two-phase composite, the study of its effective property is a central topic in material sciences. Especially, in a high-contrast elastic composite media, when inclusions are spaced closely, the stress always concentrates in between inclusions and causes damage initiation. This local concentration phenomenon essentially affects the global properties of the composite. For Babuska problem in linear elasticity, we obtainthe blow-up asymptotic expressions of the gradients of solutions to the Lame system with partially infinite coefficients in the narrow region when the distance between inclusions tends to zero. We then apply it to prove an extended Flaherty-Keller formula on the effective elastic property of a periodic composite with densely packed fibers, which is related to the “Vigdergauz microstructure”,possessing optimality properties in the context of Hashin-Shtrickmann boundsin structural optimization problems. Recently, we completely solve the stress concentration problem between two adjacent rigid inclusions suspending in the Stokes flow.

報(bào)告人簡(jiǎn)介

李海剛，北京師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授、博士生導(dǎo)師。主要從事材料科學(xué)中的偏微分方程理論研究，在復(fù)合材料中的Babuska問(wèn)題、流-固模型的懸浮問(wèn)題等方面取得一系列進(jìn)展，已在Adv Math、ARMA、JMPA、JFA、AIHP-NL、SIMA、TAMS、CV&PDEs 等國(guó)際權(quán)威數(shù)學(xué)雜志發(fā)表論文30余篇。2016年獲得霍英東青年教師基金，2018年獲得教育部自然科學(xué)二等獎(jiǎng)。

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yl7703永利官網(wǎng)

萃英學(xué)院

2022年4月12日