Through stochastic-numerical microstructure-based experiments, the plastic consolidation under compression of porous brittle solids, with porosities from 0.25 to 0.75 and a large variety of microstructural characteristics, has been investigated. This was made possible by generating microstructures from Gaussian random fields in order to obtain stochastic ensembles of structures with prescribed properties, which are then simulated within the material point method. Below a critical imposed strain rate, the consolidation behavior is found to be very weakly affected by the degree of heterogeneity and anisotropy. Structures where the solid phase takes up more space than the void phase have a consolidation response approximately independent of the structural geometry and dimensionality (comparing two- and three-dimensional structures). Finally, we show that the consolidation of two-dimensional structures collapses on a single master curve that can be described by a simple function similar to one presented for a completely different system, namely a system of interacting discrete cohesive disks. In this function, we report a universal parameter largely independent of material specifications.

通过基于随机数值微观结构的实验，研究了孔隙率从 0.25 到 0.75 和各种微观结构特征的多孔脆性固体在压缩下的塑性固结。这是通过从高斯随机场生成微观结构以获得具有规定特性的结构的随机集合，然后在材料点方法中进行模拟而实现的。在临界应变率以下，固结行为受异质性和各向异性程度的影响非常微弱。固相比空相占据更多空间的结构具有大致独立于结构几何形状和维数的固结响应（比较二维和三维结构）。最后，我们表明，二维结构的固结在一条主曲线上坍塌，该主曲线可以用一个简单的函数来描述，该函数类似于为完全不同的系统（即相互作用的离散内聚盘系统）提供的函数。在这个函数中，我们报告了一个很大程度上独立于材料规格的通用参数。