Boundary conditions for a dual particle method
Autor: | L. D. Libersky, P. W. Randles |
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Rok vydání: | 2005 |
Předmět: |
Mechanical Engineering
Computation Mathematical analysis Geometry Stability (probability) Computer Science Applications Stress (mechanics) Position (vector) Modeling and Simulation Particle General Materials Science Boundary value problem Moving least squares Magnetosphere particle motion Civil and Structural Engineering Mathematics |
Zdroj: | Computers & Structures. 83:1476-1486 |
ISSN: | 0045-7949 |
DOI: | 10.1016/j.compstruc.2004.11.027 |
Popis: | We present a meshfree particle method suitable for computation of the dynamic response of materials. The method employs two sets of Lagrange particles: one carrying position and velocity (motion particles) and the other carrying field (stress particles). A stability analysis shows the method to be stable, even under deformation and when the connectivity is changing. This provides hope that large deformations can be computed in a Lagrange frame. Important aspects of the method include: (1) linear moving least squares (MLS) derivative estimates, (2) a unified boundary treatment based on constrained linear MLS fits, (3) a conceptually simple neighbor search that handles large anisotropy in the particle spacing, and most importantly, (4) stability with deformation and changing connectivity. |
Databáze: | OpenAIRE |
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