The effect of couple-stresses on the corner singularity due to an asymmetric shear loading
The effect of couple-stresses on the corner singularity due to an asymmetric shear loading
复制标题
由于不对称剪切载荷而导致的力偶应力对角奇异性的影响
DOI：
10.1016/0020-7683(68)90009-7
复制
发表时间：
1968
影响因子：
3.6
通讯作者：
E. Sternberg
中科院分区：
文献类型：
--
作者：
D. Bogy;E. Sternberg
正交弹性楔的平面应变问题，其中一个面受到任意的剪切力在没有其他负载的情况下，被视为在经典的弹性静力学和弹性行为的线性理论，考虑到偶应力的影响。如果载荷不能在顶点处消失，则传统理论会在应力场和旋转场中产生角点奇异性，这是由于假设的边界条件与应力张量的对称性不相容。这些奇异性是以封闭的初等形式确定的，并与E. Reissner的均匀剪切载荷的情况下。它表明，根据耦合应力理论，上述奇异性消失，其中应力张量不再需要对称。
The plane-strain problem of an orthogonal elastic wedge, one face of which is subjected to arbitrary shearing tractions in the absence of other loads, is treated both within classical elastostatics and within a linear theory of elastic behavior that takes into account the influence of couple-stresses. If the loading fails to vanish at the apex, the conventional theory gives rise to corner singularities in the stress and rotation field, which stem from the incompatibility of the assumed boundary conditions with the symmetry of the stress tensor. These singularities are determined in closed elementary form and are found to agree with earlier results due to E. Reissner for the case of a uniform shear loading. It is shown next that the foregoing singularities disappear according to the couplestress theory, in which the stress tensor is no longer required to be symmetric.