Morphometric description of strength and degradation in porous media
Morphometric description of strength and degradation in porous media
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DOI：
10.1016/j.ijsolstr.2022.111454
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发表时间：
2021-05
影响因子：
3.6
通讯作者：
A. Guével;H. Rattez;E. Veveakis
中科院分区：
文献类型：
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作者：
A. Guével;H. Rattez;E. Veveakis
多孔介质的微观结构对材料性能的影响已被广泛认识，特别是在岩土材料，但也在生物材料和工程材料。成像技术，如X射线显微计算机断层扫描，并在建模的最新进展，使人们有可能捕捉到精确的微观结构的高精度的形态。然而，大多数现有的连续统理论只能部分地解释形态学。我们在这里提出了一个统一的方法来连接多孔材料的强度与必要和足够的微观结构信息，使用闵可夫斯基泛函，根据Hadwiger定理。一个形态强度法推断合成微观结构具有广泛的孔隙度和异质性，通过定性的二维相场模拟。也就是说，在微观结构水平上通过跟踪机械载荷下的固体-孔隙界面来模拟损伤。强度被认为是最好的描述由指数函数的形态计，从而概括了早期的金属和陶瓷的作品。然后，我们表明，这种关系的预测可能会扩展到真实的多孔介质，包括岩石，骨骼和陶瓷。
The influence of the microstructural geometry on the behavior of porous media is widely recognized, particularly in geomaterials, but also in biomaterials and engineered materials. Recent advances in imaging techniques, such as X-ray microcomputed tomography, and in modeling make it possible to capture the exact morphometry of the microstructure with high precision. However, most existing continuum theories only partially account for the morphometry. We propose here a unifying approach to link the strength of porous materials with the necessary and sufficient microstructural information, using Minkowski functionals, as per Hadwiger’s theorem. A morphometric strength law is inferred from synthetic microstructures with a wide range of porosities and heterogeneities, through qualitative 2D phase-field simulations. Namely, damage is modeled at the microstructural level by tracking the solid-pore interfaces under mechanical loading. The strength is found to be best described by an exponential function of the morphometers, thus generalizing early works on metals and ceramics. We then show that the predictiveness of this relationship may extend to real porous media, including rocks, bones, and ceramics.