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.
翻译:本文展示了一组三维单尺度的单级异体材料,它们具有通过地形优化和随后的形状优化获得的金枪鱼硬度和振动强度。与硬性最佳封闭细胞板块材料相比,材料类将Young的模量降低到79%至58%,但将单氧化振动强度提高至180 %至767%。根据小变形理论,使用同质法对材料硬度进行评估。在特定大型应力状态下,用块状浮格边界条件进行线性叠加分析,以捕捉短、长波长的振动模式。具有金枪鱼特性的3D型单级单级材料是利用表层优化设计的,然后通过形状优化进一步简化。无论是表层学还是形状的优化结果都表明,三角体和可变厚板结构之间的混合能大大增强材料的强度。