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Gigacycle fatigue behaviors of two SNCM439 steels with different tensile strengthes 被引量:1
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作者 Zheng Duan Xian-Feng Ma +2 位作者 Hui-Ji Shi Ryosuke Murai Eiichi Yanagisawa 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第5期778-784,共7页
Gigacycle fatigue behaviors of two SNCM439 steels with different tensile strengthes were experimentally studied by rotating bending tests,to investigate the effects of the tensile strength obtained by different heat t... Gigacycle fatigue behaviors of two SNCM439 steels with different tensile strengthes were experimentally studied by rotating bending tests,to investigate the effects of the tensile strength obtained by different heat treatment processes on very high cycle fatigue failure mechanisms.The material with higher tensile strength of 1 710 MPa exhibited typical gigacycle fatigue failure characteristics,whereas one with lower tensile strength of 1 010 MPa showed only traditional fatigue limit during the tests and no gigacycle failure could be found even when the specimen ran up to more than 10 8 cycles.Metallographic and fractographic analysis were carried out by an optical microscope (OM) and scanning electron microscope (SEM).It showed two different crack initiation mechanisms that for the specimen with lower tensile strength the crack prefers surface initiation and for that with higher strength the crack initiates from subsurface inclusions revealed by a fish-eye like microstructure. 展开更多
关键词 Gigacycle fatigue · S-N curves · Crack initiation · Fractography
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Optimal Transportation for Generalized Lagrangian
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作者 Ji LI Jianlu ZHANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2017年第3期857-868,共12页
This paper deals with the optimal transportation for generalized Lagrangian L = L(x, u, t), and considers the following cost function: c(x, y) = inf x(0)=x x(1)=y u∈U∫0^1 L(x(s), u(x(s), s), s)ds, w... This paper deals with the optimal transportation for generalized Lagrangian L = L(x, u, t), and considers the following cost function: c(x, y) = inf x(0)=x x(1)=y u∈U∫0^1 L(x(s), u(x(s), s), s)ds, where U is a control set, and x satisfies the ordinary equation x(s) = f(x(s), u(x(s), s)).It is proved that under the condition that the initial measure μ0 is absolutely continuous w.r.t. the Lebesgue measure, the Monge problem has a solution, and the optimal transport map just walks along the characteristic curves of the corresponding Hamilton-Jacobi equation:Vt(t, x) + sup u∈U = 0,V(0, x) = Φ0(x). 展开更多
关键词 Optimal control Hamilton-Jacobi equation Characteristic curve Viscosity solution Optimal transportation Kantorovich pair initial transport measure
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