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1. chinaXiv:202008.00090 [pdf]

可乐易拉罐在轴-侧-扭-内压联合作用下的屈曲地貌

宋广凯; 孙博华
Subjects: Mechanics >> Applied Mechanics

本文利用非线性有限元分析程序 ABAQUS 研究了柱壳曲屈问题,并应用到了可乐易拉罐的曲屈分析。首先从数值模拟上验证了Virot 等学者的可乐易拉罐曲屈实验结果,然后为了获得曲屈的一些普适结果,进一步考察了柱壳的曲屈表现。对柱壳结构在不同荷载组合、不同几何参数作用下进行了细致的分析。为了讨论的直观,本文绘制了柱壳结构在受到侧压-轴压荷载作用下外力-曲屈荷载-位移三维地貌图(称为landscape)。结果表明:在侧压-轴压-扭转荷载作用下试件力-位移曲线出现了“cliff”(断崖)现象;扭转荷载的施加不利于试件整体稳定性,并造成了试件对初始缺陷的敏感性;对于受到轴压-扭转试件,本文定义承载力为零的平面为“sea level” (海平面) 来区分试件破坏模式;通过对不同边界条件的试件进行分析,发现试件两端固接可以有效地整加结构的承载能力,提高稳定性。对柱壳结构内部充气可以大幅度提升结构的承载能力和稳定性,减小对初始缺陷的敏感度。

submitted time 2020-08-25 Hits370Downloads140 Comment 0

2. chinaXiv:201708.00174 [pdf]

Analytical solutions to single scattering of SH waves by a cylindrical fiber with radially gradient interphases

章俊; 刘炼; 曾龙海; 鲍家定
Subjects: Mechanics >> Basic Mechanics

In this work, analytical solutions to the single scattering of SH waves by a cylindrical fiber with two specific radially gradient interphase layers are supported based on the method proposed by P.A. Martin (Martin 2002, JASA). In the first case, 1) shear modulus μ(r)=e^2βrand the square of wave number, k^2 , is a linear function of 1/r, and 2) μ(r)=e^(-βr^2 ) and k^2 is a linear function of r^2. For example, analytical solutions to single scattering of SH waves by a Sic fiber with the above two interphase layers embedded in aluminum are presented. The calculated scattering cross sections are compared with values obtained from an approximate method (dividing the continuous varying layer into multiple homogeneous sub-layers). The two methods yield similar results. The contribution of this work benefits the validation of various numerical methods used in the inhomogeneous media.

submitted time 2017-08-08 Hits4042Downloads3238 Comment 0

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