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.

本文介绍了通过拓扑优化和随后的形状优化获得的具有可调的刚度和屈曲强度的一类3D单尺度各向同性材料。与刚度最优的闭孔板材料相比，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，使用均质化方法评估材料刚度。在给定的宏观应力状态下的屈曲强度是通过线性屈曲分析和块-浮点边界条件来估计的，以捕获短波和长波屈曲模式。具有可调特性的3D各向同性单尺度材料是使用拓扑优化设计的，然后使用形状优化进一步简化。