Mean Value Coordinate-Based 2D DDA for Detailed Stress Analysis

The first-order displacement function of the original discontinuous deformation analysis (DDA) results in uniform stress within each block, and existing remedies to obtain a stress distribution for each block cause the number of contacts to increase. To remedy this issue, a mean value coordinate-based DDA (Mvc-DDA) approach is proposed for 2D in this study. New degrees of freedom are defined by using the displacements at the block vertices. Mvc-DDA obtains detailed stress distributions within the blocks and ensures that the block boundary edges are straight so that contact detection can be performed as it is performed in the original DDA. The results of numerical examples verify that Mvc-DDA is effective in generating more detailed stress distributions within blocks than is possible with the original approach, regardless of the block shapes involved.