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STRESS POINTS FOR TENSION INSTABILITY IN SPH
Author(s) -
DYKA C. T.,
RANDLES P. W.,
INGEL R. P.
Publication year - 1997
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19970715)40:13<2325::aid-nme161>3.0.co;2-8
Subject(s) - smoothed particle hydrodynamics , instability , stress (linguistics) , point (geometry) , tension (geology) , mechanics , polygon mesh , work (physics) , oscillation (cell signaling) , bar (unit) , stability (learning theory) , physics , classical mechanics , mathematics , computer science , geometry , thermodynamics , philosophy , linguistics , moment (physics) , genetics , machine learning , biology , meteorology
In this work, the stress‐point approach, which was developed to address tension instability and improve accuracy in Smoothed Particle Hydrodynamics (SPH) methods, is further extended and applied for one‐dimensional (1‐D) problems. Details of the implementation of the stress‐point method are also given. A stability analysis reveals a reduction in the critical time step by a factor of 1/√2 when the stress points are located at the extremes of the SPH particle. An elementary damage law is also introduced into the 1‐D formulation. Application to a 1‐D impact problem indicates far less oscillation in the pressure at the interface for coarse meshes than with the standard SPH formulation. Damage predictions and backface velocity histories for a bar appear to be quite reasonable as well. In general, applications to elastic and inelastic 1‐D problems are very encouraging. The stress‐point approach produces stable and accurate results. © 1997 by John Wiley & Sons, Ltd.