THE EFFECT OF COUPLE-STRESSES ON THE CORNER SINGULARITY DUE TO AN ASYMMETRIC SHEAR LOADING.
Abstract
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 couple-stress theory, in which the stress tensor is no longer required to be symmetric. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1967
- Accession Number
- AD0652372
Entities
People
- David B. Bogy
- Eli Sternberg
Organizations
- California Institute of Technology