THE EFFECT OF COUPLE-STRESSES ON SINGULARITIES DUE TO DISCONTINUOUS LOADINGS.
Abstract
The singularities induced by discontinuous normal or shearing tractions applied to a semi-infinite solid are examined within the two-dimensional linearized couple-stress theory of elastic behavior and are compared with their counterpart in the classical theory of plane strain. A finite jump in the shear loading is found to produce a logarithmic infinity at the load discontinuity in the normal stress acting parallel to the boundary according to both theories. In contrast, a finite jump in the normal loading, according to the couple -stress theory, gives rise to a logarithmic infinity at the load discontinuity in the shear stress at right angles to the boundary, although all stresses remain bounded in the corresponding classical solution; whereas the conventional theory for this loading case predicts a logarithmic singularity in tthe rotation field, the latter remains bounded in the modified solution. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1966
- Accession Number
- AD0646680
Entities
People
- D. B. Bogy
- Eli Sternberg
Organizations
- California Institute of Technology