A New Approach to Characterizing Rock’ Mechanical Behavior—A Global Damage Constitutive Equation Based on a Rock Skeleton-Pore Model

"What are the basic physical parameters and main geometric parameters that are capable of representing the microscopic characteristics of rock? How can these parameters be used to accurately describe the macroscopic mechanical behavior of rock? With such questions in view, and based on the microcosmic structure analysis of rock slices, this paper presents a rock skeleton-pore structure model, holding that rock's mechanical behavior depends on the properties of rock skeleton materials and the form, size and distribution pattern of pores. According to rock stress and deformation behaviors, and in line with the skeleton-pore structure model, an essential mechanics theory for rock is advanced. The assumption that the skeleton materials are incompressible in volume and an introduction of logarithmic strain, generate the relation between porosity and apparent strain. Then, the notion that positive damage and negative damage are represented in terms of porosity is put forward; threshold value of porosity is derived by the damage threshold value of apparent volume strain; a general damage variable of rock is obtained; eventually, with the skeleton-pore model as the groundwork, a global damage constitutive equation is developed, which, with definite physical significance and material parameters to be easily determined, is convenient to apply. It has been proved that the results calculated with this new equation are well in agreement with experimental results.INTRODUCTIONRock is a form of material that contains pores, cracks and skeletons. Skeletons are composed of particles and cements. Pores or cracks within rock actually undermine the assumption of material continuum in solid mechanics. Hence, grave errors — or even false results — are inevitable if some solid mechanics theory is quoted in the discussion of rock mechanics. Many researchers in the field of rock mechanics have attempted various remedies, but the outcome is far from satisfactory — a mechanics theory for rock, in its true sense, has not been established."