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首页> 外文会议>The 7th China-Japan-Korea joint symposium on optimization of structural and mechanical systems >DEVELOPMENT OF STRESS TOPOLOGY OPTIMIZATION PROCEDURE BY THE PHASE-FIELD METHOD
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DEVELOPMENT OF STRESS TOPOLOGY OPTIMIZATION PROCEDURE BY THE PHASE-FIELD METHOD

机译：相场法开发应力拓扑优化程序

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摘要

This research presents a novel stress-based topology optimization in the framework of the phase-field method.Although the phase-field approach with the evolutions of curves to represent topological changes inside a domain has been applied to topology optimization, the problem minimizing volume subject to stress constraints has not been considered yet in the framework of the phase-field method.Indeed, we conduct international research collaboration (Hanyang University, Korea and Hiroshima University, Japan) in order to apply the phase-field approach for the stress-based topology optimization.In topology optimization using the phase field method, it is common to simulate the evolutions of the implicit boundary curves dividing solid and void by the Allen-Cahn equation which simulates diffusion and reaction of interface curves.Because the Allen-Cahn equation is based on the gradient information of one function, the regional stress constraints scheme for the localized stress constraints cannot be directly considered. Therefore the Augumented Lagrangian multiplier approach is defined and a novel numerical solution approach for the Lagrange multiplier inside the Allen-Cahn equation is newly developed.In addition, to allow the topological changes during an evolution, the topological derivatives of the regional p-norm stress constraints are developed and implemented.By solving topology optimization problem minimizing volume subject to stress constraints, the applicability of the phase field method is shown.
机译：这项研究在相场方法的框架内提出了一种基于应力的新颖拓扑优化方法。尽管已将具有曲线演化以表示域内部拓扑变化的相场方法应用于拓扑优化，但该问题将体积主题最小化实际上，我们进行了国际研究合作（韩国的汉阳大学和日本的广岛大学），以便将相场方法应用于基于应力的方法。在使用相场方法进行拓扑优化时，通常使用Allen-Cahn方程来模拟将固体和空隙划分的隐式边界曲线的演化，该方程模拟界面曲线的扩散和反应。基于一个函数的梯度信息，局部应力约束的区域应力约束方案可以不直接考虑。因此，定义了Augumented Lagrangian乘子方法，并为Allen-Cahn方程内部的Lagrange乘子开发了新的数值解方法。此外，为了允许演化过程中的拓扑变化，区域p范数应力的拓扑导数通过解决拓扑优化问题，在应力约束下使体积最小化，证明了相场法的适用性。

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