Finite Element Analysis of Stress Concentration Problems Based on Cosserat Continuum Model
In the present work, the Cosserat micro-polar continuum theory is introduced into the FEM numerical model, which is used to simulate the stress concentration problems. The stress concentration phenomena around circular hole, elliptic hole and rhombic hole in plane strain condition, are numerically simulated by two types of Cosserat continuum finite elements of the standard displacement and rotation u4ω4 and u8ω8 based on Dirichlet principle. It is indicated that, compared with the classical continuum finite element, these two Cosserat continuum finite elements can reflect the steep strain gradient and scale effects occurring in the stress concentration problems, and they can weaken the stress concentration and may get consistent solution with actual situation.
H. X. Tang and Y. H. Guan, "Finite Element Analysis of Stress Concentration Problems Based on Cosserat Continuum Model", Applied Mechanics and Materials, Vols. 99-100, pp. 939-943, 2011