A non-ordinary state-based Godunov-peridynamics formulation for strong shocks in solids

Guohua Zhou, Michael Hillman

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


The theory and meshfree implementation of peridynamics has been proposed to model problems involving transient strong discontinuities such as dynamic fracture and fragment-impact problems. For effective application of numerical methods to these events, essential shock physics and Gibbs instability should be addressed. The Godunov scheme for shock treatment has been shown to be an effective approach for tackling these two issues but has not been considered yet for peridynamics. This work introduces a physics-based shock modeling formulation for non-ordinary state-based peridynamics, in which the Godunov scheme is introduced by embedding the Riemann solution into the force state, resulting in a shock formulation free of tuneable parameters. Several benchmark problems are solved to demonstrate the effectiveness of the proposed formulation for modeling problems involving shocks in solids.

Original languageEnglish (US)
Pages (from-to)365-375
Number of pages11
JournalComputational Particle Mechanics
Issue number2
StatePublished - Mar 1 2020

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Civil and Structural Engineering
  • Numerical Analysis
  • Modeling and Simulation
  • Fluid Flow and Transfer Processes
  • Computational Mathematics


Dive into the research topics of 'A non-ordinary state-based Godunov-peridynamics formulation for strong shocks in solids'. Together they form a unique fingerprint.

Cite this