STUDY ON WAVE PROPAGATION ANALYSES IN HETEROGENEOUS MATERIALS USING X-FEM

• 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

• KYOYA Takashi

  東北大学大学院 工学研究科 土木工学専攻

Bibliographic Information

Other Title

• X-FEMによる非均質材料の波動伝搬解析に関する基礎的研究

Abstract

 This paper focuses on the explicit dynamic analysis of wave propagation in heterogeneous materials using the extended finite element method (X-FEM). Since the enriched approximation in the X-FEM enables us to introduce the material discontinuities independently of finite element mesh, mesh-free and image-based analyses of heterogeneous materials can be realized. To apply the X-FEM to wave propagation analyses, we discuss the lumping techniques of mass matrix in enriched elements, and show that the mass matrix components in enriched elements does not tend to zero even if the material interface reaches the boundaries of enriched elements. In this paper, Chapter 2 shows the X-FE approximation of displacement in enriched elements and the formulation of dynamic explicit solution method with the X-FEM. By taking 1-D dynamic X-FE analyses as an example, we examine the lumping techniques of mass matrix in enriched elements and the influence on numerical accuracy and critical time step in Chapter 3. To examine the applicability and validity of the image-based X-FEM, numerical examples of wave propagation in heterogeneous materials are presented in Chapter 4.

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)) 67 (1), 69-81, 2011

  Japan Society of Civil Engineers

Keywords

• X-FEM
• lumping technique of enriched elements
• level set
• heterogeneous materials
• image-based wave propagation analysis

Details

• CRID: 1390001205351530752
• NII Article ID: 130004557143
• DOI: 10.2208/jscejam.67.69
• ISSN: 21854661
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed