Recent advances in manufacturing and material science have given rise to numerous architectured materials (archimats), which are tailored for multifunctionality and improved performance. Specifically, lattice structures and metal foams are usually lightweight optimized structural morphologies, which are prone to non-linear instability phenomena, leading to collapse or to a different stable state. This article offers an extensive review of analytical, numerical and experimental methods for investigating buckling and postbuckling in such materials. In terms of analytical modelling, linear elastic and geometrically non-linear models are presented. In numerical analysis, discrete and continuum models are presented, highlighting how numerical modelling can inform design of such materials and finally, experimental methods across different scales are reported, highlighting their merits, depending on the aim of the investigation.

在制造和材料科学方面的最新进展已经产生了许多结构化的材料（架构），这些材料专门针对多功能性和改进的性能而量身定制。具体而言，晶格结构和金属泡沫通常是经过优化的轻质结构形态，易于发生非线性不稳定性现象，从而导致塌陷或形成不同的稳定状态。本文对研究此类材料的屈曲和后屈曲的分析，数值和实验方法进行了广泛的综述。在分析建模方面，提出了线性弹性模型和几何非线性模型。在数值分析中，提出了离散模型和连续模型，强调了数值建模如何可以指导此类材料的设计，最后，