Limit Analysis using Hybrid Stress Model -Materials that obey Mohr-Coulomb's Yield Criterion-

摘要

A limit analysis for materials that obey the Mohr-Coulomb's yield criterion by use of the hybrid stress model is presented. When slidings occur in the materials, the stress field satisfies the Mohr-Coulomb's yield criterion on the sliding surfaces. Therefore, the Mohr-Coulomb's equations is introduced into the principle of the hybrid complementary energy using Lagrange multipliers defined on the sliding surfaces. The physical meaning of Lagrange multipliers becomes clear by the stationary conditions on the sliding surfaces. For numerical examples, the hybrid stress model is applied for the bearing capacity of a concrete block and foundations under footing. The results of the numerical examples are in good agreement with exact solutions of plastic analysis.