Numerical simulations for largely deformed beams and rings adopting a nontensile smoothed particle hydrodynamics algorithm

Authors

DOI:

https://doi.org/10.21914/anziamj.v64.17588

Keywords:

smoothed particle hydrodynamics (SPH), Langrangian SPH, Eulerian SPH, elasticity, tensile instability

Abstract

Three typical elastic problems, including beam bending, truss extension and compression, and two-rings collision are simulated with smoothed particle hydrodynamics (SPH) using Lagrangian and Eulerian algorithms. A contact-force model for elastic collisions and equation of state for pressure arising in colliding elastic bodies are also analytically derived. Numerical validations, on using the corresponding theoretical models, are carried out for the beam bending, truss extension and compression simulations. Numerical instabilities caused by largely deformed particle configurations in finite/large elastic deformations are analysed. The numerical experiments show that the algorithms handle small deformations well, but only the Lagrangian algorithm can handle large elastic deformations. The numerical results obtained from the Lagrangian algorithm also show a good agreement with the theoretical values.

 

doi: 10.1017/S1446181123000160

Author Biographies

Thien Tran-Duc, The University of Newcastle

School of Information and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia

Michael Meylan, The University of Newcastle

School of Information and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia

Natalie Thamwattana, The University of Newcastle

School of Information and Physical Sciences, The University of Newcastle, Callaghan, NSW 2308, Australia

Published

2023-09-18

Issue

Section

Articles for Printed Issues