具有可调刚度和屈曲强度的3D结构各向同性材料
3D architected isotropic materials with tunable stiffness and buckling strength
摘要：
提出了一类通过拓扑优化和形状优化得到的刚度和屈曲强度可调的三维单尺度各向同性材料。与刚度最佳的闭孔板材料相比，该材料类别将杨氏模量降低到79%至58%的范围，但将单轴屈曲强度提高到180%至767%的范围。基于小变形理论，采用均匀化方法计算材料刚度。在给定的宏观应力状态下的屈曲强度估计使用线性屈曲分析与块Floquet边界条件捕获短波长和长波长屈曲模式。利用拓扑优化设计了具有可调特性的三维各向同性单尺度材料，并利用形状优化对其进行了简化。拓扑和形状优化结果表明，桁架与变厚度板结构的混合可以显著提高材料的屈曲强度。
英文摘要：
This paper presents a class of 3D single-scale isotropic materials with tunable stiffness and buckling strength obtained via topology optimization and subsequent shape optimization. Compared to stiffness-optimal closed-cell plate material, the material class reduces the Young's modulus to a range from 79% to 58%, but improves the uniaxial buckling strength to a range from 180% to 767%. Based on small deformation theory, material stiffness is evaluated using the homogenization method. Buckling strength under a given macroscopic stress state is estimated using linear buckling analysis with Block-Floquet boundary conditions to capture both short and long wavelength buckling modes. The 3D isotropic single-scale materials with tunable properties are designed using topology optimization, and are then further simplified using shape optimization. Both topology and shape optimized results demonstrate that material buckling strength can be significantly enhanced by hybrids between truss and variable thickness plate structures.
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