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

Michael Charles Hillman, Jiun Shyan Chen, Sheng Wei Chi

Research output: Contribution to journalArticle

31 Citations (Scopus)

Abstract

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
Volume1
Issue number3
DOIs
StatePublished - Sep 1 2014

Fingerprint

Nodal Integration
Quadrature
Modeling
Eigenvalue Analysis
High Strain Rate
Meshfree Method
Strain Energy
Large Deformation
Galerkin Method
Wave Propagation
Smoothing
Stabilization
Galerkin methods
Strain energy
Wave propagation
Strain rate

All Science Journal Classification (ASJC) codes

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

Cite this

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Stabilized and variationally consistent nodal integration for meshfree modeling of impact problems. / Hillman, Michael Charles; Chen, Jiun Shyan; Chi, Sheng Wei.

In: Computational Particle Mechanics, Vol. 1, No. 3, 01.09.2014, p. 245-256.

Research output: Contribution to journalArticle

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