Unified solution of limit loads of thick wall cylinder subject to external pressure considering strain softening

Abstract

Based on the unified strength theory [1], a unified strength criterion for strain softening materials, such as concrete or rock, was derived, and the elastic and plastic limit loads of a thick-walled cylinder made of these materials subject to external pressure were also given. In addition, the influence of some factors on the limit loads of such cylinders as the ratio of the external radius to internal radius,r_b/r_a, the coefficient b, which reflects the effect of medium principal stress and the normal stress of the relevant surface on the material destroy degree, the ratio of tensile strength to compressed strength of the material, α, and the damage variable β>/em> were discussed in detail. Some examples were given and some meaningful results were obtained.

Keywords

limit loads, thick-wall cylinder, unified strength theory, strain softening, damage