A comparative study on PU-based finite element methods for approximating strong/weak discontinuities

• KURUMATANI Mao

  茨城大学 工学部 都市システム工学科

• TERADA Kenjiro

  東北大学大学院 工学研究科 土木工学専攻

Bibliographic Information

Other Title

• 一般化有限要素法による不連続性の近似に関する比較考察

Abstract

This paper focuses on approximation properties for strong/weak discontinuities in the PU-based finite element methods. The extended finite element method (X-FEM), which is one of the PU-based FEM, enables us to approximate the discontinuous deformation due to crack/interface with the enrichment functions. In contrast, the finite cover method (FCM), which is also one of the PU-based FEM, is capable of representing discontinuous behavior by defining the multiple sets of finite covers (elements) instead of using the enrichment functions. We examine the properties and the effects of these different PU-based approximations for strong/weak discontinuities in this paper. Section 2 shows two types of approximations of strong/weak discontinuities in the PU-based FEM by taking X-FEM and FCM for instance, and explains the equivalence of them. Several numerical examples are presented to examine the analysis accuracy and effi ciency for structures involving a line crack, a branched crack and a material interface in Section 3.

Journal

• Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM))

  Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)) 68 (2), I_129-I_138, 2012

  Japan Society of Civil Engineers

Keywords

• partiton of unity (PU)
• eXtended FEM (X-FEM)
• finite cover method (FCM)
• enrichment
• strong/weak discontinuity

Details

• CRID: 1390282680326606464
• NII Article ID: 130004557251
• DOI: 10.2208/jscejam.68.i_129
• ISSN: 21854661
• Text Lang: ja
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed