THE EFFECT OF COUPLE-STRESSES ON SINGULARITIES DUE TO DISCONTINUOUS LOADINGS.
CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE
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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