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An improvement for tensile instability in smoothed particle hydrodynamics. (English) Zbl 0949.74078

Summary: We propose a corrected smoothed-particle method (CSPM) to address the tensile instability and boundary deficiency problems that have hampered the exploitation of standard smoothed particle hydrodynamics (SPH). The results from applying this algorithm to the one-dimensional bar and to plane stress problems are promising. In addition to the advantage of being a gridless Lagrangian approach, improving the above two major obstacles in standard SPH makes the proposed method attractive for applications in computational mechanics.

MSC:

74S30 Other numerical methods in solid mechanics (MSC2010)
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74B10 Linear elasticity with initial stresses

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