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


1 Department of Mining and Metallurgical Engineering,University of Tehran

2 Department of Civil Engineering,University of California


Abstract. 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.