With the method a grid is superimposed to the domain, as shown in Figure 2. In the figure, the sub-indices
represent the position of the point in the grid; for example, i,j represents a point with coordinates (xi, xj), i+1,j the
point (xi+h, xj), i,j+1 the point (xi, xj+k), and so on. The method relies on the approximation of the field equations,
i.e. equilibrium, strain compatibility, etc. by finite difference formulas. Discontinuities can be incorporated in the
model by using grid points on each side of the discontinuity. The relative displacement between corresponding grid
points determines the slip along the discontinuity, and frictional laws (e.g., Coulomb) can be enforced by adding new
equations to the system of equations that relate shear stress with normal stress. Normal and shear displacements can
also be related to the shear and normal stiffness of the discontinuity.
With the method a grid is superimposed to the domain, as shown in Figure 2. In the figure, the sub-indicesrepresent the position of the point in the grid; for example, i,j represents a point with coordinates (xi, xj), i+1,j thepoint (xi+h, xj), i,j+1 the point (xi, xj+k), and so on. The method relies on the approximation of the field equations,i.e. equilibrium, strain compatibility, etc. by finite difference formulas. Discontinuities can be incorporated in themodel by using grid points on each side of the discontinuity. The relative displacement between corresponding gridpoints determines the slip along the discontinuity, and frictional laws (e.g., Coulomb) can be enforced by adding newequations to the system of equations that relate shear stress with normal stress. Normal and shear displacements canalso be related to the shear and normal stiffness of the discontinuity.
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