The stress minimization multi-material topology optimization(MMTO)approach has recently attracted significant attention because of its applications in aerospace and mechanical engineering.Nonetheless,the stress minimi...The stress minimization multi-material topology optimization(MMTO)approach has recently attracted significant attention because of its applications in aerospace and mechanical engineering.Nonetheless,the stress minimization MMTO approach may result in stress surpassing the material's tolerance limit,potentially culminating in failure.This research proposes a novel way for imposing stress constraints on each material to regulate their respective stress levels.The fundamental concept is that each material possesses its own interpolation function for the stress model.The maximum von Mises stress for each material can be established with the definition of an upper limit,ensuring that the materials will perform safely and effectively.This aids topological structures in resisting failure and augmenting strength.A multi-physics system including thermoelastic and self-weight loads is concurrently examined alongside stress limitations.The global stress constraint utilizes the p-norm function,and the adjoint method is used to derive sensitivity.This work employs a three-field strategy utilizing density filtering and Heaviside projection functions to mitigate the artificial stress in low density.The technique is assessed through two-dimensional(2D)and three-dimensional(3D)examples,illustrating the influence of stress limits on the compliance minimization under heat and self-weight loads.The optimized results indicate a substantial decrease in the stress levels accompanied by a minor gain in compliance,while maintaining the stress within the specified range for all materials.展开更多
采用拉氏时间推进加重映到初始网格的方式,在结构化交错欧拉网格上实现一种新型两步欧拉法。拉氏时间推进采用预估-校正方法,混合网格的拉氏计算中引入压力松弛模型。用MOF(Moment of Fluid)重构显式界面,将混合网格剖分为多个介质多面...采用拉氏时间推进加重映到初始网格的方式,在结构化交错欧拉网格上实现一种新型两步欧拉法。拉氏时间推进采用预估-校正方法,混合网格的拉氏计算中引入压力松弛模型。用MOF(Moment of Fluid)重构显式界面,将混合网格剖分为多个介质多面体,实现了精确的相交重映。考虑到已有拉氏网格与拉氏网格相交算法的低效性,实现了与两步欧拉法更适配的拉氏网格与欧拉网格相交算法。数值模拟结果表明:在欧拉框架下构造显式界面,能够提高欧拉方法对界面的分辨能力,本文构造显式界面进行相交重映的算法具有健壮且高效的特点,在大变形模拟中也可以保持较好的完整性。展开更多
基金Project supported by the National Research Foundation of Korea(NRF)grant funded by the Korea government(MSIT)(No.RS-2025-02303676)。
文摘The stress minimization multi-material topology optimization(MMTO)approach has recently attracted significant attention because of its applications in aerospace and mechanical engineering.Nonetheless,the stress minimization MMTO approach may result in stress surpassing the material's tolerance limit,potentially culminating in failure.This research proposes a novel way for imposing stress constraints on each material to regulate their respective stress levels.The fundamental concept is that each material possesses its own interpolation function for the stress model.The maximum von Mises stress for each material can be established with the definition of an upper limit,ensuring that the materials will perform safely and effectively.This aids topological structures in resisting failure and augmenting strength.A multi-physics system including thermoelastic and self-weight loads is concurrently examined alongside stress limitations.The global stress constraint utilizes the p-norm function,and the adjoint method is used to derive sensitivity.This work employs a three-field strategy utilizing density filtering and Heaviside projection functions to mitigate the artificial stress in low density.The technique is assessed through two-dimensional(2D)and three-dimensional(3D)examples,illustrating the influence of stress limits on the compliance minimization under heat and self-weight loads.The optimized results indicate a substantial decrease in the stress levels accompanied by a minor gain in compliance,while maintaining the stress within the specified range for all materials.
文摘采用拉氏时间推进加重映到初始网格的方式,在结构化交错欧拉网格上实现一种新型两步欧拉法。拉氏时间推进采用预估-校正方法,混合网格的拉氏计算中引入压力松弛模型。用MOF(Moment of Fluid)重构显式界面,将混合网格剖分为多个介质多面体,实现了精确的相交重映。考虑到已有拉氏网格与拉氏网格相交算法的低效性,实现了与两步欧拉法更适配的拉氏网格与欧拉网格相交算法。数值模拟结果表明:在欧拉框架下构造显式界面,能够提高欧拉方法对界面的分辨能力,本文构造显式界面进行相交重映的算法具有健壮且高效的特点,在大变形模拟中也可以保持较好的完整性。
