Implementation and verification of RKPM in the sierra/solidmechanics analysis code

David Littlewood, Mike Hillman, Edouard Yreux, Joseph Bishop, Frank Beckwith, Jiun Shyan Chen

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

Abstract

The reproducing kernel particle method (RKPM) is a meshfree method for computational solid mechanics that can be tailored for an arbitrary order of completeness and smoothness. The primary advantage of RKPM relative to standard finiteelement (FE) approaches is its capacity to model large deformations, material damage, and fracture. Additionally, the use of a meshfree approach offers great flexibility in the domain discretization process and reduces the complexity of mesh modifications such as adaptive refinement. We present an overview of the RKPM implementation in the Sierra/SolidMechanics analysis code, with a focus on verification, validation, and software engineering for massively parallel computation. Key details include the processing of meshfree discretizations within a FE code, RKPM solution approximation and domain integration, stress update and calculation of internal force, and contact modeling. The accuracy and performance of RKPM are evaluated using a set of benchmark problems. Solution verification, mesh convergence, and parallel scalability are demonstrated using a simulation of wave propagation along the length of a bar. Initial model validation is achieved through simulation of a Taylor bar impact test. The RKPM approach is shown to be a viable alternative to standard FE techniques that provides additional flexibility to the analyst community.

Original languageEnglish (US)
Title of host publicationMechanics of Solids, Structures and Fluids
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791857526
DOIs
StatePublished - Jan 1 2015
EventASME 2015 International Mechanical Engineering Congress and Exposition, IMECE 2015 - Houston, United States
Duration: Nov 13 2015Nov 19 2015

Publication series

NameASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
Volume9-2015

Other

OtherASME 2015 International Mechanical Engineering Congress and Exposition, IMECE 2015
CountryUnited States
CityHouston
Period11/13/1511/19/15

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

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  • Cite this

    Littlewood, D., Hillman, M., Yreux, E., Bishop, J., Beckwith, F., & Chen, J. S. (2015). Implementation and verification of RKPM in the sierra/solidmechanics analysis code. In Mechanics of Solids, Structures and Fluids (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 9-2015). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/IMECE2015-51939