Second-Order Displacement Functions for Three-Dimensional Discontinuous Deformation Analysis (3-D DDA) S.A.

The development of second-order displacement functions for a Three-Dimensional Discontinuous Deformation Analysis (3-D DDA) is made by incorporating the complete second order terms. Formulations of sti ness and force matrices in second-order due to elastic stress, initial stress, point load, body force, inertia force and xed point are derived. Two illustrative examples of 3-D beams subjected to various loads are used to validate the new formulations and code. By contrast, the results calculated for the same model by use of the original rst-order 3-D DDA are far from the theoretical solutions. Keywords: Numerical method; Three-Dimensional Discontinuous Deformation Analysis (3-D DDA); Second-order displacement functions; Rock mechanics.