DESIGN OPTIMIZATION OF MATERIAL WITH ZERO THERMALEXPANSION COEFFICIENTS AND DESIGN VERIFICATION WITHNUMERICALLY SIMULATED EXPERIMENTS
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摘要: 零膨胀材料对提高航空航天结构和电子设备等的热几何稳定性有重要意义。采用拓扑优化技术设计各相材料在单胞域的分布形式, 以获得零膨胀材料的微结构形式。给出了由二相实体材料和空心构成的各向同性零膨胀材料的设计方案, 讨论了初始设计依赖性问题, 分析了该依赖性的存在原因。采用有限元技术代替实际测试, 分析了所设计材料的试件在均匀温度变化下的变形, 验证了所设计材料的零膨胀(低膨胀) 性质, 说明通过拓扑优化技术设计材料的微结构是设计零膨胀材料的有效方法。Abstract: Materials with zero thermal expansion coefficients benefit to improve the geometrical stabilities of aeronauticand astronautic structures and electric equipment under great temperature changes. The microstructure of materials withzero thermal expansion coefficients is designed using a topology optimization method which consists of finding the distribution of three material phases in the design domain. These material phases include two different material phases and a voidphase. The effective properties of material structures are determined using the numerical homogenization method based ona finite-element discretization of the base cell , and the optimization problem is solved with the feasible direction method.The dependence on initial design is investigated , and some possible reasons causing the problem are discussed. The thermalexpansion behavior of the material with designed microstructures is tested by numerically simulated experiments and , thethermal expansion coefficients are obtained through analyzing the deformation of the materials caused by temperaturechange. These numerically simulated experiments verified the characteristic of zero (low) thermal expansion behavior ofthe designed material , which shows that the topology optimization method is a valid and effective method for microstructure design of materials with zero thermal expansion coefficients.
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