当前位置: X-MOL 学术Int. J. Numer. Meth. Eng. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A novel topology optimization formulation for enhancing fracture resistance with a single quasi‐brittle material
International Journal for Numerical Methods in Engineering ( IF 2.9 ) Pub Date : 2020-03-11 , DOI: 10.1002/nme.6334
Jonathan B. Russ 1 , Haim Waisman 1
Affiliation  

Optimal design of structures for fracture resistance is a challenging subject. This appears to be largely due to the strongly nonlinear governing equations associated with explicitly modeling fracture propagation. We propose a topology optimization formulation, in which low weight structures are obtained with significantly increased resistance to brittle fracture, in which crack propagation is explicitly modeled with the phase field approach. By contrast to our previous work, several important features are included which greatly assist the optimizer in dealing with the strongly discontinuous brittle fracture process, including a new objective function, which provides additional path information to the optimizer. Increased local control of the topology is introduced via a smoothed threshold function in the phase field fracture formulation and a constraint relaxation continuation scheme is proposed to alleviate some difficulty during the initial optimization iterations. The derivation of the analytical, path‐dependent sensitivities for the relevant functions is provided and the results from two benchmark numerical examples are presented which demonstrate the effectiveness of the proposed method.

中文翻译:

一种新颖的拓扑优化公式,可使用一种准脆性材料增强抗断裂性

抗断裂结构的优化设计是一个具有挑战性的课题。这似乎主要归因于与明确模拟裂缝扩展相关的强非线性控制方程。我们提出了一种拓扑优化公式,其中获得了具有显着增加的抗脆性断裂性能的低重量结构,其中使用相场方法明确地模拟了裂纹扩展。与我们以前的工作相比,其中包含一些重要功能,这些功能可以极大地帮助优化器处理强烈不连续的脆性断裂过程,其中包括一个新的目标函数,该函数可以为优化器提供附加的路径信息。在相场裂缝公式中通过平滑阈值函数引入了增加的拓扑局部控制,并提出了约束松弛连续方案以减轻初始优化迭代过程中的某些困难。提供了对相关功能的分析,与路径有关的灵敏度的推导,并给出了两个基准数值示例的结果,这些结果证明了所提方法的有效性。
更新日期:2020-03-11
down
wechat
bug