This study presents a new stress influence function (SIF) methodology for continuum topology optimization under consideration of local strength failure. Firstly, the qp-relaxation criterion is involved to circumvent the stress singularity. To deal with the large-scale stress constraints in topology optimization, the local stress constraint is reflected in the objective along with the material volume by multiplication, and the weight of stress is characterized by stress influence function. Meanwhile, three types of stress influence functions are proposed for comparison. By means of the study on the characteristic of high-stress elements, the rationality of the SIF methodology is illustrated, in which the proposed method may achieve the full-stress state of high-stress element. Numerical examples are given to demonstrate the applicability and validity of the proposed methodology. It is shown that the proposed methodology can obtain reasonable results. Consequently, the proposed SIF methodology provides a novel strategy with high computational efficiency for topology optimization considering local strength failure.

这项研究提出了一种新的应力影响函数（SIF）方法，用于考虑局部强度破坏的连续体拓扑优化。首先，涉及qp松弛准则来规避应力奇异性。为了处理拓扑优化中的大规模应力约束，局部应力约束与材料体积通过乘法相乘反映在目标中，应力权重由应力影响函数表征。同时，提出了三种类型的应力影响函数进行比较。通过对高应力元素特性的研究，说明了SIF方法的合理性，该方法可以使高应力元素达到全应力状态。数值例子说明了所提方法的适用性和有效性。结果表明，所提出的方法可以取得合理的结果。因此，所提出的SIF方法为考虑局部强度失效的拓扑优化提供了一种具有高计算效率的新颖策略。