Inplane and Out-of-Plane Stress and Displacement Analysis of Micropolar Elastic Medium with Circular Hole, Circular Solid Inclusion or Circular Ring of Solid Inclusion
Noriaki SUGISAKA, Takuo SUZUKI and Ken-ichi HIRASHIMA
Abstract:Several authors have formulated the couple stress theory and the micropolar theory of two-dimensional Cosserat body, and obtained several relations between stress and displacement in complex variable forms. In this paper, we show the unified treatment of the problems of three-dimensional Cosserat body with a circular hole, circular solid inclusion or circular ring of solid inclusion by using the new micropolar constants K, G*, K* and ƒË*. And we give the solutions of micropolar elastic body with a circular hole , circular solid inclusion or a circular ring of solid inclusion under uniform stress at infinity. Lastly, several numerical results are shown by graphical representation. Key Words:Micropolar elasticity, Couple stresses, Circular hole, Solid inclusion, Circular ring of solid inclusion