Abstract For large-scale equipment, e.g. aerospace and architecture industry, it is valuable to guarantee that one structure could survive partial damages. Due to the location of the damage is unknown in prior, results in a high number of failure scenarios to be calculated when considering fail-safe requirement in topology optimization. In this article, we propose an efficient continuum topology optimization method on the basis of the design philosophy of robust fail-safe structure. A number of patches with predefined shapes are used to simulate the material failure. The material properties of damaged models are interpolated by von Mises stress to construct the well-posed optimization model. The damaged compliance for the worst failure case is set as the optimization objective, and the KS function is adopted to approximate the non-differentiable max-operator. A computationally efficient sensitivity formulation is derived via the adjoint method. To suppress the highly nonlinear stress behavior and the phenomenon of optimization oscillation, an extended variable update scheme within the framework of Optimality Criteria (OC) method is developed. Representative benchmarks show that the presented strategy has the effectiveness at yielding the fail-safe structure by using acceptable computational cost.

中文翻译：

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基于 von Mises 应力的鲁棒故障安全拓扑设计

摘要 对于大型设备，如航空航天、建筑等行业，保证一个结构能经受部分损坏是很有价值的。由于先前未知损坏的位置，因此在拓扑优化中考虑故障安全要求时需要计算大量故障场景。在本文中，我们基于鲁棒故障安全结构的设计理念，提出了一种高效的连续体拓扑优化方法。许多具有预定义形状的补丁用于模拟材料失效。损坏模型的材料属性通过 von Mises 应力进行插值以构建适定优化模型。将最坏故障情况下的损坏合规性设置为优化目标，并且采用KS函数来逼近不可微的最大算子。通过伴随方法推导出计算上有效的灵敏度公式。为了抑制高度非线性的应力行为和优化振荡现象，开发了优化准则（OC）方法框架内的扩展变量更新方案。代表性的基准测试表明，所提出的策略通过使用可接受的计算成本在产生故障安全结构方面具有有效性。