The static compression of porous aluminum specimens, with free vertical surfaces fixed in a cylindrical holder, was investigated both theoretically and experimentally. Calculation were performed using the principle of 3D similarity of the stress-strain state in structural elements of constructions. Such an approach allows one to take into account the nonuniform distribution of stresses and strains caused by pores and to vary the small number of structural elements (representative volumes) in calculations, while retaining the porosity index and the characteristic dimensions of construction. Based on the calculation-experimental method, properties of the carcass material were identified using the results of compression tests of the porous specimens. The numerical results obtained are compared with experimental data, and they testify to the effectiveness of the principle of 3D similarity for this class of problems.

中文翻译：

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多孔金属大变形的数值模拟和胎体变形图的识别

从理论上和实验上研究了多孔铝试样的静态压缩，自由垂直表面固定在圆柱形支架上。使用结构的结构元素中应力-应变状态的 3D 相似性原理进行计算。这种方法允许人们考虑由孔隙引起的应力和应变的不均匀分布，并在计算中改变少量结构元素（代表性体积），同时保留孔隙率指数和结构的特征尺寸。基于计算-实验方法，利用多孔试样的压缩试验结果确定胎体材料的特性。将所得数值结果与实验数据进行比较，