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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >Scale-span stress-constrained topology optimization for continuum structures integrating truss-like microstructures and solid material
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Scale-span stress-constrained topology optimization for continuum structures integrating truss-like microstructures and solid material

机译：整合桁架状微结构和固体材料的连续体结构的尺度跨度应力约束拓扑优化

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This paper proposes a stress-constrained topology optimization method for structures integrating truss-like microstructures and a solid material. By utilizing the representative volume element (RVE) method, the truss-like microstructures are equivalent to homogeneous materials. Then, a power-law material interpolation scheme for bi-material, including the solid material and the equivalent material, is constructed. Based on the mechanical analysis, a yield index g is introduced to indicate the yielding situation of the truss-like microstructures. In addition, the yielding of truss-like microstructures is controlled implicitly by constraining the von Mises stress of the equivalent materials. By means of two p-norm clustered stress measures, the stress of the solid material and the equivalent material are constrained. Finally, based on the adjoint method, the sensitivity of stress and displacement constraints is obtained and the optimization can be solved by a gradient-based optimization algorithm. Two numerical examples are presented to demonstrate the validity and effectiveness of the proposed methodology. (C) 2019 Elsevier B.V. All rights reserved.
机译：本文提出了一种将桁架状微结构与固体材料结合起来的结构的应力约束拓扑优化方法。通过使用代表性体积元素（RVE）方法，桁架状的微结构等效于均质材料。然后，构造了包括固体材料和等效材料在内的双材料幂律材料插值方案。基于力学分析，引入屈服指数g来指示桁架状微结构的屈服情况。此外，通过限制等效材料的冯·米塞斯应力来隐式控制桁架状微结构的屈服。通过两个p范数聚类应力度量，可以约束固体材料和等效材料的应力。最后，基于伴随方法，获得了应力和位移约束的敏感性，并且可以通过基于梯度的优化算法来解决该优化问题。给出两个数值例子，以证明所提出方法的有效性和有效性。 （C）2019 Elsevier B.V.保留所有权利。

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