The additive-manufacturing process generally fabricates lattices with geometries that depart from their as-designed counterparts and some inherent geometric imperfections exist within the fabricated lattice samples. In this paper, mechanical responses of the lattice structures with stochastic geometric defects originated from additive-manufacturing were examined. Here, X-ray Computed tomography (CT) was employed to capture the morphology and distribution of process-induced defects in order to study their role in the elastic response, damage initiation, and failure evolution under quasi-static compression. Testing results indicated that more geometric imperfections exist in the horizontal struts than in the diagonal or vertical struts. Then, extracted from the X-ray CT images, the process-induced defects (i.e. strut porosity, strut thickness variation and strut waviness) were introduced into the ideal finite element (FE) model for establishing the statistical FE model. A much more agreement is observed between the statistical FE model predicted results and experimental results. Finally, the roles of the single geometric defect on the mechanical responses and energy absorption of the lattices were investigated. It was indicated that strut thickness variation in the lattice structures has a larger impact in energy absorption than strut porosity or strut waviness.

增材制造过程通常会制造出几何形状不同于其设计对应形状的晶格，并且在制造的晶格样品中存在一些固有的几何缺陷。本文研究了由加法制造引起的具有随机几何缺陷的晶格结构的机械响应。在这里，X射线计算机断层扫描（CT）被用来捕获过程引起的缺陷的形态和分布，以研究它们在准静态压缩下在弹性响应，损伤引发和破坏演化中的作用。测试结果表明，水平支柱中存在的几何缺陷比对角或垂直支柱中的几何缺陷更多。然后，从X射线CT图像中提取过程引起的缺陷（例如，支柱孔隙率，将杆的厚度变化和杆的波纹度引入理想的有限元模型中，以建立统计有限元模型。在统计有限元模型的预测结果和实验结果之间观察到更多的一致性。最后，研究了单一几何缺陷对晶格的力学响应和能量吸收的作用。结果表明，晶格结构中的支杆厚度变化比支杆孔隙率或支杆波纹度对能量吸收的影响更大。研究了单一几何缺陷对晶格力学响应和能量吸收的作用。结果表明，晶格结构中的支杆厚度变化比支杆孔隙率或支杆波纹度对能量吸收的影响更大。研究了单一几何缺陷对晶格力学响应和能量吸收的作用。结果表明，晶格结构中的支撑杆厚度变化对能量吸收的影响大于支撑杆的孔隙率或支撑杆的波纹度。