Constitutive model of rock based on microstructures simulation

The constitutive model of rock can be built by mechanics elements because there are many kinds of damages in rock under varied loads. It is resumed that rock contains many microstructures and a structure of Bingham. The microstructure consists of two embranchments that are the unit of a spring and a gliding slice in series and the unit of a spring and a cementation bar in series, the two units connect each other in parallel. These microstructures are arranged disorderly or in the order of a certain state. A certain distribution of microstructures represents one type of rock. Two kinds of rock’s constitutive relationship were deduced by using the model. One is the model in which many parallel microstructures and a structure of Bingham connect in series. And it is used to homogeneous rock. The other is the model in which many microstructures and a structure of Bingham connect in series. And it is used to the rock with much crack or microcrack in a certain direction. The two kinds of constitutive relationship were verified by the studied cases. The constitutive model of rock built by using mechanics elements is verified to be reasonable. Moreover, different types of rocks may be described with mechanics elements with different distributions.