Stress state of two collinear stamps over the surface of orthotropic materials

Stress state of two collinear stamps over the surface of orthotropic materials
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正交各向异性材料表面上两个共线印模的应力状态

DOI:
10.1007/s00419-014-0822-5
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发表时间:
2014-01
影响因子:
2.8
通讯作者:
Park, Junboum
Park, Junboum
中科院分区:
工程技术4区
文献类型:
--
作者:
Zhou, Yueting;Wang, Lianming;Ding, Shenghu;Park, Junboum

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对正交各向异性材料表面上的两个共线印模进行精确接触分析。进行与控制方程相关的特征值分析,并获得每个特征值分布的实基本解。使用傅里叶正弦或余弦变换,可以获得柯西型奇异积分方程。特别是,在两个共线的平面或圆柱形印模的情况下,获得了简化奇异积分方程的精确解。根据初等函数获得了各种应力的显式表达式。给出了数值结果,并发现了有趣的观察结果。对于两个共线的平面印章,提供了详细的计算,以显示两个平面印章之间的距离对接触应力和面内应力的影响。对于圆柱形印模,详细介绍了两个圆柱形印模之间的距离、机械载荷 P 和圆柱形印模半径 R 对表面法向应力和表面面内应力的影响。
An exact contact analysis of two collinear stamps over the surface of orthotropic materials is performed. Eigenvalue analyses related to the governing equations are conducted, and real fundamental solutions are obtained for each eigenvalue distribution. Using Fourier sine or cosine transforms, a singular integral equation of Cauchy type is obtained. In particular, the exact solution of the reduced singular integral equation is obtained in the case of two collinear flat or cylindrical stamps. Explicit expressions for various stresses are obtained in terms of elementary functions. Numerical results are presented, and interesting observations are found. For two collinear flat stamps, detailed calculations are provided to show influences of distance between two flat stamps on the contact stress and in-plane stress. For a cylindrical stamp, influences of distance between two cylindrical stamps, mechanical loadingP, and the cylindrical stamp radiusRon the surface normal stress and surface in-plane stress are detailed.
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