Reproducing Kernel Particle Methods for elastic and plastic problems

Wing Kam Liu*, Jonathan Adee, Sukky Jun, Ted Belytschko

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

70 Scopus citations


This analysis explores a Reproducing Kernel Particle Methods which incorporates several inviting features. The emphasis is away from classical mesh generated elements in favor of a mesh free system which only requires a set of nodes or particles in space. Using a Gaussian distribution, flexible window functions are implemented to provide refinement in the solution process. It also creates the ability to analyze a specific frequency range in dynamic problems reducing the computer time required. This advantage is achieved through an increase in the critical time step when the frequency range is low and a large window is used. The stability of the window function is investigated to provide insight on Reproducing Kernel Particle Methods. Furthermore, there are no explicit elements in the formulation, allowing the derivatives to also be continuous, or C. The analytic theory is confirmed through numerical experiments by performing reconstructions and solving an elastic-dynamic one dimensional problem.

Original languageEnglish (US)
Title of host publicationAdvanced Computational Methods for Material Modeling
EditorsDennis A. Siginer, William E. VanArsdale, Cengiz M. Altan, Andreas N. Alexandrou
PublisherPubl by ASME
Number of pages15
ISBN (Print)0791812510
StatePublished - 1993
EventProceedings of the 1993 ASME Winter Annual Meeting - New Orleans, LA, USA
Duration: Nov 28 1993Dec 3 1993

Publication series

NameAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
ISSN (Print)0160-8835


OtherProceedings of the 1993 ASME Winter Annual Meeting
CityNew Orleans, LA, USA

ASJC Scopus subject areas

  • Mechanical Engineering


Dive into the research topics of 'Reproducing Kernel Particle Methods for elastic and plastic problems'. Together they form a unique fingerprint.

Cite this