In this work, the elastic buckling of porous solids was investigated using a lattice spring model (LSM). The capability of the LSM to solve elastic buckling problems was comprehensively verified by comparing well‐established numerical and analytical solutions. Following this, the buckling of a porous solid was studied, in which two porous structures were considered, ie, the random porous model and the Voronoi porous model. The results reveal that both the porosity and the shape of the pores influence the elastic buckling bearing capacity of the porous solid. Finally, the mechanical responses of a porous solid with an extra high porosity (0.85) were numerically investigated. Our numerical results demonstrated that the nonlinear elastic response of the porous solid might come from its mesoscale elastic buckling. This work shows the ability and promise of using the LSM as a fundamental numerical tool for the deep investigation of the buckling mechanical behavior of porous solids.

中文翻译：

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考虑介观弹性屈曲的多孔固体力学行为

在这项工作中，使用晶格弹簧模型（LSM）研究了多孔固体的弹性屈曲。通过比较公认的数值和解析解，LSM解决了弹性屈曲问题的能力得到了全面验证。在此之后，研究了多孔固体的屈曲，其中考虑了两个多孔结构，即随机多孔模型和Voronoi多孔模型。结果表明，孔隙率和孔隙形状都会影响多孔固体的弹性屈曲承载力。最后，数值研究了孔隙率极高（0.85）的多孔固体的机械响应。我们的数值结果表明，多孔固体的非线性弹性响应可能来自其中尺度弹性屈曲。