A novel non-linearly explicit second-order accurate L-stable methodology for finite deformation: Hypoelastic/hypoelasto-plastic structural dynamics problems

X. Zhou, D. Sha, K. K. Tamma

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

Abstract

A novel non-linearly explicit second-order accurate L-stable computational methodology for integrating the non-linear equations of motion without non-linear iterations during each time step, and the underlying implementation procedure is described. Emphasis is placed on illustrative non-linear structural dynamics problems employing both total/updated Lagrangian formulations to handle finite deformation hypoelasticity/hypoelasto-plasticity models in conjunction with a new explicit exact integration procedure for a particular rate form constitutive equation. Illustrative numerical examples are shown to demonstrate the robustness of the overall developments for non-linear structural dynamics applications.

Original languageEnglish (US)
Pages (from-to)795-823
Number of pages29
JournalInternational Journal for Numerical Methods in Engineering
Volume59
Issue number6
DOIs
StatePublished - Feb 14 2004

Keywords

  • Finite deformation
  • Hypo-elasticity/hypo-elasto-plasticity
  • Non-linearly explicit time integration algorithm
  • Stress update algorithm
  • Total/updated Lagrangian formulations

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