Efficient strength optimization of variable stiffness laminates using lamination parameters with global failure index
Efficient strength optimization of variable stiffness laminates using lamination parameters with global failure index
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DOI：
10.1016/j.compstruc.2022.106856
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发表时间：
2022-10
期刊：
影响因子：
--
通讯作者：
Z. Hong;D. Peeters;Yujie Guo
中科院分区：
文献类型：
--
作者：
Z. Hong;D. Peeters;Yujie Guo
提出了一种基于层合参数的新型复合材料层合板强度优化方法。该方法基于Tsai-Wu失效准则，采用全局范数方法将局部失效指标集结为全局失效指标。出于设计目的，新型复合材料层合板通过层合参数进行表征，这些参数随后可以在现有的三步优化方法中转换为局部可变的纤维取向。采用保守破坏包络的椭圆公式，用层合参数表示Tsai-Wu准则。推导了基于分层参数的全局破坏指标的两级近似，保证了基于梯度的优化框架中期望的保守性和凸性。数值结果表明，与现有的基于局部最小极大值的强度优化方法相比，当p取值适当时，该强度优化方法的计算效率有了显著提高。该方法也是稳健的，即使在存在应力集中和奇异性的情况下也能产生收敛的最优设计。
A computationally-efficient strength optimization method tailoring novel composite laminates using lamination parameters is developed. The method adopts a globalp-norm approach to aggregate local failure indices into a global failure index, based on the Tsai-Wu failure criterion. For design purposes, the novel composite laminates are characterized via lamination parameters that can subsequently be transformed into locally variable fiber orientations in an existing three-step optimization method. An elliptical formulation of the conservative failure envelope is applied to represent the Tsai-Wu criterion in terms of lamination parameters. A lamination-parameter-based two-level approximation for the global failure index is derived, which guarantees the anticipated conservativeness and convexity in a gradient-based optimization framework. Numerical results show that the computational efficiency of the proposed strength optimization method improves remarkably with a proper value ofp, compared to the existing local-based min-max method. The method is also shown to be robust and generate converged optimum designs even in the presence of stress concentrations and singularities.