Structured Extended Finite Element Methods of Solids Defined by Implicit Surfaces

Technical Report · Sun Nov 17 00:00:00 EST 2002

DOI:https://doi.org/10.2172/15004927· OSTI ID:15004927

Belytschko, T; Mish, K; Moes, N; Parimi, C

A paradigm is developed for generating structured finite element models from solid models by means of implicit surface definitions. The implicit surfaces are defined by radial basis functions. Internal features, such as material interfaces, sliding interfaces and cracks are treated by enrichment techniques developed in the extended finite element method (X-FEM). Methods for integrating the weak form for such models are proposed. These methods simplify the generation of finite element models. Results presented for several examples show that the accuracy of this method is comparable to standard unstructured finite element methods.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: US Department of Energy (US)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 15004927
• Report Number(s): UCRL-ID-152402; TRN: US200321%%425
• Resource Relation: Other Information: PBD: 17 Nov 2002
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
ACCURACY
FINITE ELEMENT METHOD
LAWRENCE LIVERMORE NATIONAL LABORATORY