Advancements and development trend in statistical damage constitutive models for rock: a comprehensive review

This paper provides a comprehensive exploration of the research progress in the field of rock statistical damage constitutive models. The introduction section highlights the significance and necessity of this research by discussing the background and importance of the rock statistical damage constitutive models. The damage mechanics section lays the foundation for the subsequent discussions by defining damage, examining observation and measurement methods, and introducing damage variables. The section on rock micro-elements failure criteria compares and analyzes various criteria, assessing their advantages, disadvantages, and suitability. This analysis provides a basis for subsequent modeling efforts. The paper then discusses the statistical distribution of rock micro-elements. It explores their properties, applicability, and usage in rock statistical damage constitutive models, guiding researchers in selecting appropriate distributions. The rock damage models section explains the mechanism and essence of rock damage, as well as various modification methods to enhance the accuracy and applicability of the models. In the rock statistical damage constitutive models section, several models based on Weibull, entropy, normal, and logarithmic normal distributions are elaborated. The advantages, disadvantages, applicability ranges, and improvement directions of each model are discussed in detail. The concluding section summarizes the current state of research and suggests future avenues for the development of rock statistical damage constitutive models. It emphasizes the need to enhance the predictive capability, accuracy, and applicability of these models in practical scenarios. Statistical damage constitutive models for rock are valuable tools for predicting the mechanical behavior of rock structures.