Engineering Transactions, 25, 1, pp. 173-181, 1977

The Effect of Couple-Stresses on Stress Concentration Around a Rigid Circular Inclusion in a Half-Plane Under Tension

S. Itou
Department of Mechanical Engineering, Hachinohe Institute of Technology, Hachinohe

The two-dimensional linearised theory of couple-stress elasticity has been applied to investigate the stress distribution in a half-plane having a perfectly rigid circular inclusion. Simple tension acts in parallel to the plane boundary. The solution is illustrated by some numerical results.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


R.D. MINDLIN, Influence of couple-stresses on stress concentrations, Exp. Mech., 3, 1-7, 1963.

C.B. BANKS and M. SOKOLOWSKI, On certain two-dimensional applications of the couple stress theory, Int. J. Solids Structures, 4,.15-29, 1968.

I.M. SHIRIAEV, Issledowanie vlilaniia masshtabnogo factora na koncentraciiu napriazhenij około otverstij, Mekh. Polim., 3, 566, 1970.

I.M. SHIRIAEV, Viiianie momentnykh napriazhenij na koncentraciiu napriazhenij vblizi cilyndriueskoj neodnorodnosti v rastianutoj polose, Izv. Vyssh. Uchebn. Zaved. Mashinostr., 8, 13-17, 1974.

S. ITOU, The effect of couple-stresses on stress concentrations around a cylindrical cavity in a half.

-plane under tension, Acta Mechanica [in press].

P.M. MORSE and H. FESHBACH, Methods of theoretical physics I, McGraw-Hill, 926, 1953,

C.W. BERT and F.J. APPL, General solution for two-dimensional couple-stress elasticity, AIAA Journal, 6, 968-969, 1968.