This paper introduces a new formulation of topology optimization for robust design including local failure and load uncertainty. In contrast to most studies, the focus has been on minimizing the total volume with multiple compliance constraints. With the introduction of the reciprocal intermediate variables, the topology optimization problem can be well posed as a sequential quadratic program with exact second-order information. Then, robust topology optimization is implemented within the framework of the suggested formulation, in which not only the randomness of the damage location but also the uncertainty of loading magnitude and direction are taken into account. Finally, several numerical examples are performed to verify the effectiveness and capability of the presented approach for robust design considering local failure and load uncertainty. The effects that varying the input load magnitude and direction, damage location have upon the optimized designs are investigated by comparing those with deterministic design results.

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multiple compliance loading reciprocal intermediate variables topology optimization problem exact secondorder information local failure and load uncertainty minimizing the total volume deterministic design randomness approach formulation direction damage location load magnitude sequential quadratic program

Xuan Wang,Yixian Du,Kai Long,.Robust topology optimization formulation including local failure and load uncertainty using sequential quadratic programming. (),1–16.

Xuan Wang,Yixian Du,Kai Long,"Robust topology optimization formulation including local failure and load uncertainty using sequential quadratic programming"

Xuan Wang,Yixian Du,Kai Long,"Robust topology optimization formulation including local failure and load uncertainty using sequential quadratic programming"