A study on fail-safe topological design of continuum structures with stress concentration alleviation

Wang, Hongxin; Liu, Jie; Wen, Guilin

doi:10.1007/s00158-022-03259-0

Cited by 9 publications

(2 citation statements)

References 44 publications

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“…To test whether this method could verify more complex scenarios, the T-shaped beam mentioned by Wang et al [42] is considered in this case. As shown in Figure 15, the design space of the T-shaped beam is discretized, encompassing a total of 5100 elements.…”

Section: T-shaped Beammentioning

confidence: 99%

Fail-Safe Topology Optimization Using Damage Scenario Filtering

Sun,

Zhang,

Liu

et al. 2024

Applied Sciences

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Within the framework of isotropic materials, this paper introduces an efficient topology optimization method that incorporates fail-safe design considerations using a penalty function approach. Existing methods are either computationally expensive or overlook fail-safe requirements during optimization. This approach not only achieves optimized structures with fail-safe characteristics, but also significantly enhances the computational efficiency of fail-safe topology optimization. In this method, the minimization of worst-case compliance serves as the optimization objective, employing the Kreisselmeier–stein Hauser function to approximate the non-differentiable maximum operator. A sensitivity analysis, derived through the adjoint method, is utilized, and a universal fail-safe optimization criterion is developed to update the design variables. During the optimization process for fail-safe strategies, a density-based filtering method is applied, effectively reducing damage scenarios. Finally, the effectiveness and computational efficiency of this method are validated through several numerical examples.

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Section: T-shaped Beammentioning

confidence: 99%

Fail-Safe Topology Optimization Using Damage Scenario Filtering

Sun,

Zhang,

Liu

et al. 2024

Applied Sciences

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“…During the optimization process, they evaluated the failure scenarios according to the actual load path, and not only designed the damage-safety design with good performance, but also reduced the calculated cost. Wang et al [16] introduced the minimization of von Mises stress of damaged structure into the optimization objective, and proposed two topological optimization objectives: the worst-case formulation and the mean-performance formulation, which effectively alleviated the stress concentration problem caused by local failure. Because of the different probabilities of different damages, Cid et al [17] developed a new optimization strategy to avoid unnecessary structural performance loss caused by low-probability damage.…”

Section: Introductionmentioning

confidence: 99%

Topology Optimization of Strength-Safe Continuum Structures Considering Random Damage

Du¹,

Xue²,

Zhang³

2023

Computer Modeling in Engineering &Amp; Sciences

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Spacecraft in the aerospace field and military equipment in the military field are at risk of being impacted by external objects, which can cause local damage to the structure. The randomness of local damage is a new challenge for structural design, and it is essential to take random damage into account in the conceptual design phase for the purpose of improving structure's resistance to external shocks. In this article, a random damaged structure is assumed to have damages of the same size and shape at random locations, and the random damage is considered as multiple damage conditions of the structure. In order to improve the randomness and comprehensiveness of the multiple damage conditions, the stacking strategy is used to generate the distribution of the damage area. Following this strategy, the topology optimization design of the random damaged structure, which is to minimize the weight of the structure with a constraint on the stress of the structure under multiple damage conditions, is formulated based on the independent continuous mapping (ICM) method. The dual sequence quadratic programming (DSQP) algorithm combined with the stress globalization method is adopted to solve the optimization problem. The numerical examples demonstrate the effectiveness and applicability of the proposed method in the topology optimization of strength-safe continuum structures.

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