Load Transfer Problem for an Embedded Shaft in Torsion
Load Transfer Problem for an Embedded Shaft in Torsion
复制标题
扭转嵌入轴的载荷传递问题
DOI：
10.1115/1.3408724
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发表时间：
1970
期刊：
影响因子：
--
通讯作者：
Neil J. Freeman
中科院分区：
文献类型：
--
作者：
L. Keer;Neil J. Freeman
本文讨论了弹性半空间中半无限长圆柱体的轴对称扭转问题，在弹性半空间中，圆柱体允许有限个凸出量。当圆柱体是不同的材料并且部分结合到嵌入部分时，该问题被表述为包括圆柱体的突出部分的情况。利用积分变换和Dini级数，将问题归结为积分方程解的确定。当所有杆件完全粘结时，分数阶的应力奇点在交界处被记录和计算。得到了均匀圆柱体情况下积分方程解的数值解。对于不同的弹性常数值，计算了圆柱体-半空间界面上的粘结应力和整个系统的扭矩-扭矩(以及相应的应变能)。
This paper deals with the axially symmetric torsion of a semi-infinite cylinder embedded into an elastic half space, where the cylinder is allowed to protrude by a finite amount. The problem is formulated to include the case of the protruding portion of the cylinder when it is a different material and partially bonded to the embedded portion. With the use of integral transforms and Dini series, the problem is reduced to the determination of the solution of an integral equation. Stress singularities of a fractional order are noted and computed at the juncture, when all members are perfectly bonded. A numerical solution of the integral equation is obtained for the case of a homogeneous cylinder. The bond stress on the cylinder—half space interface and the torque-twist (and consequently, strain energy) for the entire system are computed for different values of the elastic constants.