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Product design optimisation with microstructure-property modelling and associated uncertainties

机译:具有微观结构属性模型和相关不确定性的产品设计优化

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摘要

In this paper, we present a methodology for simulation-based product design optimisation using an internal state variable (ISV) constitutive modelling approach that captures the microstructure-property relations in the material. By modelling the stochastic uncertainties in the material model and the loading conditions, the design optimisation problem is formulated and solved using the reliability-based design optimisation (RBDO) methodology. The application problem considers the design optimisation of an A356-T6 cast aluminium component under maximum stress and damage constraints. Alternative metamodelling techniques are used to develop appropriate surrogate models in lieu of direct coupling of non-linear static finite element analysis and numerical design optimisation. Probabilistic design constraints are modelled using the safety index approach with the solution of the nestedrnoptimisation problem facilitated with the help of analytical surrogate models. Comparison of the optimisation results reveals the importance of using an ISV-based constitutive model that is sensitive to the growth of damage in material. Moreover, the solution of the RBDO problem captures the effects of uncertainty on finding the minimum weight design for the cast component.
机译:在本文中,我们介绍了一种使用内部状态变量(ISV)本构模型方法进行基于仿真的产品设计优化的方法,该方法捕获了材料中的微观结构与属性的关系。通过对材料模型和加载条件中的随机不确定性进行建模,使用基于可靠性的设计优化(RBDO)方法制定并解决了设计优化问题。应用问题考虑了在最大应力和损坏约束下,A356-T6铸铝部件的设计优化。替代的元建模技术用于开发适当的替代模型,以代替非线性静态有限元分析和数值设计优化的直接耦合。使用安全指数方法对概率设计约束进行建模,并借助分析替代模型来简化嵌套优化问题。优化结果的比较表明,使用对材料损伤的增长敏感的基于ISV的本构模型非常重要。此外,RBDO问题的解决方案在确定铸件最小重量设计时捕获了不确定性的影响。

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