4.7 Article

Three-dimensional discontinuous deformation analysis based on strain-rotation decomposition

Journal

COMPUTERS AND GEOTECHNICS
Volume 95, Issue -, Pages 191-210

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.compgeo.2017.09.015

Keywords

Three-dimensional dynamic deformation; Discontinuous deformation analysis; Strain-rotation decomposition; Nonlinear analysis; Nonphysical volume change

Funding

  1. University Grants Council of Hong Kong through a Collaborative Research Fund (CRF) [C6012-15G]
  2. National Basic Research Program of China (973 Program) [2014CB047100]
  3. National Natural Science Foundation of China [11172313, 51538001]

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The strain and local rotation at any material point in a deformable body can be descripted by the strain-rotation (S-R) decomposition theorem. This paper presents a three-dimensional dynamic deformation formulation based on the S-R decomposition. The three-dimensional dynamic analysis formulation is generic and can be easily implemented into numerical methods. By combining the new formulation with the discontinuous deformation analysis (DDA), a new method named SR-3D-DDA is developed. We further use several examples to demonstrate that the S-R based DDA can help effectively eliminate the nonphysical volume change exhibited by existing DDAs and improve the accuracy of the predictions.

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