Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems

Michael Hillman, Jiun Shyan Chen, Sheng Wei Chi

Research output: Contribution to journalArticlepeer-review

51 Scopus citations


Galerkin meshfree methods can suffer from instability and suboptimal convergence if the issue of quadrature is not properly addressed. The instability due to quadrature is further magnified in high strain rate events when nodal integration is used. In this paper, several stable and convergent nodal integration methods are presented and applied to transient and large deformation impact problems, and an eigenvalue analysis of the methods is also provided. Optimal convergence is attained using variationally consistent integration, and stability is achieved by employing strain smoothing and strain energy stabilization. The proposed integration methods show superior performance over standard nodal integration in the wave propagation and Taylor bar impact problems tested.

Original languageEnglish (US)
Pages (from-to)245-256
Number of pages12
JournalComputational Particle Mechanics
Issue number3
StatePublished - Sep 1 2014

All Science Journal Classification (ASJC) codes

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


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