Closed-cell materials, such as plate-lattices, are attracting increasing attention as a result of their potential to achieve the theoretical upper bounds for isotropic elasticity and strain energy storage (the Hashin-Shtrikman upper bounds) (Berger et al., 2017). However, their complex meso-geometries, especially their enclosed structures, make most of additive manufacturing methods impossible to undertake, due to difficulties associated with removing the Supporting material. To overcome this, plate-lattices with small holes located in the plates, termed semi-plate lattices, have been manufactured at the centimeter scale using a multi-jet printing plastic 3D printer combined with a wax removing process. Experimental compression tests on the resulting specimens have shown that semi-plate lattice structures offer an enhanced stiffness, strength and a much-improved energy absorption capability compared with their truss-based lattice counterparts. Numerical predictions agree well with the experimental data and show that the plate topology have higher stress contours with more homogeneous stress distribution. The Mode I fracture toughness of the semi-plate lattices has also been investigated. The fracture toughness of both the semi-plate lattices and the truss lattices has been shown to increase linearly with relative density and the square root of the cell size. The introduction of holes in semi-plate lattices plays a significant role in controlling the propagation of cracks in terms of both speed and direction. Compared with metal foams, the additively manufactured semi-plate lattices are lighter and stronger, whilst offering an equivalent fracture toughness. By using additive manufacturing with different constituent materials, such as alloys and ceramics, semi-plate-based lattice materials can be manufactured to offer greater potential in engineering design than traditional truss-based lattice materials.

闭孔材料，例如板晶格，由于它们有可能达到各向同性弹性和应变能量存储的理论上限（Hashin-Shtrikman 上限），因此越来越受到关注（Berger 等人，2017 年） . 然而，它们复杂的中观- 几何形状，尤其是它们的封闭结构，由于移除支撑材料存在困难，因此无法采用大多数增材制造方法。为了克服这个问题，板中带有小孔的板格，称为半板格，已经使用多喷射打印塑料 3D 打印机结合除蜡工艺以厘米级制造。对所得试样的实验压缩测试表明，与基于桁架的晶格结构相比，半板晶格结构具有更高的刚度、强度和大大提高的能量吸收能力。数值预测与实验数据非常吻合，表明板拓扑具有更高的应力轮廓和更均匀的应力分布。还研究了半板晶格的 I 型断裂韧性。半板晶格和桁架晶格的断裂韧度均随相对密度和单元尺寸的平方根线性增加。在半板晶格中引入孔洞在控制裂纹在速度和方向上的传播方面起着重要作用。与金属泡沫相比，增材制造的半板晶格更轻、更坚固，同时具有相同的断裂韧性。通过使用不同组成材料（如合金和陶瓷）的增材制造，可以制造出半板基晶格材料，以提供比传统桁架基晶格材料更大的工程设计潜力。