SUN Yue, FENG Xiang-chu, XIAO Jun, WANG Ying. MLS-Based Postprocessing Procedure for Discontinuous Deformation Analysis[J]. Applied Mathematics and Mechanics, 2017, 38(7): 743-754. doi: 10.21656/1000-0887.370259
Citation: SUN Yue, FENG Xiang-chu, XIAO Jun, WANG Ying. MLS-Based Postprocessing Procedure for Discontinuous Deformation Analysis[J]. Applied Mathematics and Mechanics, 2017, 38(7): 743-754. doi: 10.21656/1000-0887.370259

MLS-Based Postprocessing Procedure for Discontinuous Deformation Analysis

doi: 10.21656/1000-0887.370259
Funds:  The National Natural Science Foundation of China(61271294;61471338)
  • Received Date: 2016-08-24
  • Rev Recd Date: 2016-11-18
  • Publish Date: 2017-07-15
  • The discontinuous deformation analysis (DDA) simulates fracture propagations by introducing fictitious joint meshes in blocks to generate sub-blocks. In order to obtain accurate stress distributions with this method, a stress recovery procedure was proposed based on the moving least squares (MLS) interpolation technique. With the MLS shape functions and their derivatives, the stress at any point within a block can be expressed by means of nodal displacements. Numerical examples were given to verify the accuracy and effectiveness of the proposed method. Comparison of the stress results between the analytical method, the averaging postprocessing method and the proposed MLS-based postprocessing procedure indicates that, the MLS-based stress recovery procedure is of high accuracy in providing more reliable block stress distributions.
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