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In fluid mechanics, the force density is the negative gradient of pressure. It has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid. Force density is represented by the symbol f , and given by the following equation, where P is the pressure: 𝐟=-∇P. The net force on a differential volume element dV of the fluid is: d𝐅=𝐟dV Force density acts in different ways which is caused by the boundary conditions.
A numerical simulation prediction method and system for anisotropic rock mass thermal coupling fracture analysis
This invention belongs to the field of numerical simulation of rock mechanics and fracture mechanics, and discloses a numerical simulation prediction method and system for thermo-mechanical coupling fracture analysis of anisotropic rock masses. The method includes: Step 1: Constructing a peri-field dynamic model, inputting specific parameters of materials, geometry, and peri-field dynamics, identifying and calibrating the principal direction angles of the materials, and using angle tolerance to identify reinforcing bonds along the principal direction, as well as isotropic peri-field dynamic bonds; Step 2: Performing heat conduction analysis based on the initialized peri-field dynamic model; Step 3: Introducing the calculated temperature field into the force density function through thermal expansion correction, and using the ADR method for quasi-static solution to calculate the force field deformation; Step 4: Based on the force field deformation, using the critical elongation-based bond failure criterion to determine the state of the peri-field dynamic bonds, thereby tracing the crack propagation path.
Owner:HOHAI UNIV