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Rigid body rotation and block internal discretization in DDA analysis. (English) Zbl 0998.74079

From the summary: We propose an iterative discontinuous-deformation analysis (DDA) method which can avoid the stress distortion due to rotation even when the rotation or number of time-step is large. Furthermore, we propose an internal discretization scheme applicable to both concave and convex polygons, which is particularly important for a large block. The stress and strain distribution within a large block can be obtained with this scheme. Numerical examples demonstrate advantages of the present DDA analysis.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74B05 Classical linear elasticity
74M20 Impact in solid mechanics
74L10 Soil and rock mechanics
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References:

[1] Manifold method. Proceedings of First International Forum on Discontinuous Deformation Analysis (DDA) and Simulations of Discontinuous Media, June 12-14, TSI Press: USA, 1996; 52-204.
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[5] The issue of rigid-body rotation in DDA. Proceedings of the First International Forum on Discontinuous Deformation Analysis (DDA) and Simulations of Discontinuous Media, June 12-14, TSI Press: USA, 1996; 318-325.
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[7] Lin, International Journal of Rock Mechanics and Mining Science Geomechanics 3 pp 671– (1996) · doi:10.1016/0148-9062(96)00016-2
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