Accession Number : AD0646680

Title :   THE EFFECT OF COUPLE-STRESSES ON SINGULARITIES DUE TO DISCONTINUOUS LOADINGS.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA INST OF TECH PASADENA DIV OF ENGINEERING AND APPLIED SCIENCE

Personal Author(s) : Bogy,D. B. ; Sternberg,Eli

Report Date : DEC 1966

Pagination or Media Count : 28

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)

Descriptors :   (*STRESSES, COMPLEX VARIABLES), ELASTIC PROPERTIES, SOLIDS, THEORY, LOADS(FORCES), FUNCTIONS(MATHEMATICS)

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE