This paper is devoted to study the elastic–plastic damage behavior of heterogeneous shale rocks. The representative microstructure of this kind of rocks is first studied in order to define the representative elementary volume for the implementation of homogenization procedure. Three relevant material scales are considered. Inter-particle pores are distributed at the nanoscopic scale. Fine grains of calcite and kerogen are immersed at the microscopic scale. Large grains of minerals are embedded at the mesoscopic scale. Effective elastic properties of shale rocks are first determined by using a three-step linear homogenization procedure. The plastic damage behavior is estimated by developing a three-step nonlinear homogenization method. The effective plastic behavior of porous clay matrix with nanoscopic pores is described by an analytical model. The effects of small and large grains of various mineral inclusions are investigated by using a two-step incremental model. The damage due to progressive debonding of mineral inclusions is taken into account. After the implementation of the proposed model, comparisons between numerical results and experimental data are presented.

本文致力于研究非均质页岩的弹塑性破坏行为。首先研究这类岩石的代表性微观结构，以定义均质程序的代表性基本体积。考虑了三个相关的材料量表。颗粒间的孔以纳米尺度分布。方解石和干酪根的细颗粒被浸没在微观尺度上。大颗粒的矿物以介观尺度嵌入。页岩的有效弹性特性首先通过三步线性均化程序确定。通过开发三步非线性均质化方法来估算塑性损伤行为。通过分析模型描述了具有纳米孔的多孔粘土基体的有效塑性行为。通过使用两步增量模型，研究了各种矿物包裹体的小晶粒和大晶粒的影响。考虑到由于矿物夹杂物的逐渐脱粘而造成的损坏。提出的模型实现后，将数值结果与实验数据进行比较。