Verification and large deformation analysis using the reproducing kernel particle method

Technical Report · Tue Sep 01 00:00:00 EDT 2015

DOI:https://doi.org/10.2172/1222659· OSTI ID:1222659

Beckwith, Frank ^[1]

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1. Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

The reproducing kernel particle method (RKPM) is a meshless method used to solve general boundary value problems using the principle of virtual work. RKPM corrects the kernel approximation by introducing reproducing conditions which force the method to be complete to arbritrary order polynomials selected by the user. Effort in recent years has led to the implementation of RKPM within the Sierra/SM physics software framework. The purpose of this report is to investigate convergence of RKPM for verification and validation purposes as well as to demonstrate the large deformation capability of RKPM in problems where the finite element method is known to experience difficulty. Results from analyses using RKPM are compared against finite element analysis. A host of issues associated with RKPM are identified and a number of potential improvements are discussed for future work.

• Research Organization: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
• Sponsoring Organization: USDOE National Nuclear Security Administration (NNSA)
• DOE Contract Number: AC04-94AL85000
• OSTI ID: 1222659
• Report Number(s): SAND--2015-8355; 607086
• Country of Publication: United States
• Language: English