Limiting the first principal stress in topology optimization: a local and consistent approach
Limiting the first principal stress in topology optimization: a local and consistent approach
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DOI：
10.1007/s00158-022-03320-y
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发表时间：
2022-08
影响因子：
3.9
通讯作者：
O. Giraldo-Londoño;Jonathan B. Russ;M. Aguilo;G. Paulino
中科院分区：
文献类型：
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作者：
O. Giraldo-Londoño;Jonathan B. Russ;M. Aguilo;G. Paulino
本文提出了一种第一主应力约束的结构拓扑优化方法。我们通过增广拉格朗日方法解决了考虑局部应力约束的问题，该方法可以解决大规模问题，而不需要特别的聚合方案和聚类方法。数值例子证明了该框架对实际问题的有效性与许多（例如，在百万（s）的范围内）施加在最大主应力上的局部约束。其中一个例子是一个三维天线支架，它代表了一个现实的工程设计问题。这个例子，它有超过一百万个约束，提出了应力约束拓扑优化的基准问题。
The present study introduces a formulation for topology optimization of structures with constraints on the first principal stress. We solve the problem considering local stress constraints via the augmented Lagrangian method, which enables the solution of large-scale problems without the need for ad hoc aggregation schemes and clustering methods. Numerical examples are provided which demonstrate the effectiveness of the framework for practical problems with numerous (e.g., in the range of million(s)) local constraints imposed on the maximum principal stress. One of the examples is a three-dimensional antenna support bracket, which represents a realistic engineering design problem. This example, which has more than one million constraints, is proposed as a benchmark problem for stress-constrained topology optimization.