Virtual displacement based discontinuity layout optimization

Discontinuity layout optimization (DLO) is a relatively new upper bound limit analysis method. Compared to classic topology methods, aimed at obtaining the optimum design of structure by considering its self-weight, building cost, or bearing capacity, DLO optimizes failure pattern under specific loading conditions and constraints minimizing dissipation energy. In this work, we present modified algorithm that contains all advantages DLO. It referred virtual displacement-based discontinuity (VDLO). VDLO takes stress state loaded as snapshot correspondingly provides pattern, which greatly extends application potential Numerical examples indicate effectiveness flexibility VDLO. regarded highly promising supplemental tool for other numerical methods in element-/node-based frameworks.