Static, dynamic and buckling analyses of 3D FGM plates and shells via an isogeometric-meshfree coupling approach

Pengfei Tan, Nhon Nguyen-Thanh, Timon Rabczuk, Kun Zhou

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

This paper develops a three-dimensional (3D) isogeometric analysis (IGA) and meshfree coupling approach to investigate the static, dynamic and buckling behaviors for plates and shells of functionally graded material (FGM). The meshfree method and IGA are coupled using the higher-order consistency condition in the physical domain so that the higher-order continuity of basis functions is guaranteed, and the topological complexity of the global volumetric parameterization for IGA to build the 3D geometry can be overcome. By employing IGA elements on the domain boundary and meshfree nodes in the interior domain, the approach preserves the advantages of the exact geometry and flexible discretization in the problem domain. Based on the coupling approach, the analyses for FGM plates and shells are carried out, and the effects of the material volume fraction, the side-to-thickness ratio and the curvature of the cylindrical shell on the deflection, natural frequency, and buckling load are investigated. The coupling approach is verified by comparing with the solutions obtained from other existing theories.

Original languageEnglish
Pages (from-to)35-50
Number of pages16
JournalComposite Structures
Volume198
DOIs
Publication statusPublished - 2018 Aug 15
Externally publishedYes

Fingerprint

Functionally graded materials
Buckling
Geometry
Parameterization
Natural frequencies
Volume fraction

Keywords

  • Coupling approach
  • Functionally graded material
  • Isogeometric analysis
  • Meshfree method
  • NURBS
  • RKPM

ASJC Scopus subject areas

  • Ceramics and Composites
  • Civil and Structural Engineering

Cite this

Static, dynamic and buckling analyses of 3D FGM plates and shells via an isogeometric-meshfree coupling approach. / Tan, Pengfei; Nguyen-Thanh, Nhon; Rabczuk, Timon; Zhou, Kun.

In: Composite Structures, Vol. 198, 15.08.2018, p. 35-50.

Research output: Contribution to journalArticle

Tan, Pengfei ; Nguyen-Thanh, Nhon ; Rabczuk, Timon ; Zhou, Kun. / Static, dynamic and buckling analyses of 3D FGM plates and shells via an isogeometric-meshfree coupling approach. In: Composite Structures. 2018 ; Vol. 198. pp. 35-50.
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