Numerical plate testing for linear two-scale analyses of composite plates with in-plane periodicity

Kenjiro Terada, Norio Hirayama, Koji Yamamoto, Mayu Muramatsu, Seishiro Matsubara, Shin nosuke Nishi

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

A method of numerical plate testing (NPT) for composite plates with in-plane periodic heterogeneity is proposed. In the two-scale boundary value problem, a thick plate model is employed at macroscale, while three-dimensional solids are assumed at microscale. The NPT, which is nothing more or less than the homogenization analysis, is in fact a series of microscopic analyses on a unit cell that evaluates the macroscopic plate stiffnesses. The specific functional forms of microscopic displacements are originally presented so that the relationship between the macroscopic resultant stresses/moments and strains/curvatures to be consistent with the microscopic equilibrated state. In order to perform NPT by using general-purpose FEM programs, we introduce control nodes to facilitate the multiple-point constraints for in-plane periodicity. Numerical examples are presented to verify that the proposed method of NPT reproduces the plate stiffnesses in classical plate and laminate theories. We also perform a series of homogenization, macroscopic, and localization analyses for an in-plane heterogeneous composite plate to demonstrate the performance of the proposed method.

Original languageEnglish
Pages (from-to)111-137
Number of pages27
JournalInternational Journal for Numerical Methods in Engineering
Volume105
Issue number2
DOIs
Publication statusPublished - 2016 Jan 13
Externally publishedYes

Fingerprint

Composite Plates
Periodicity
Testing
Composite materials
Stiffness
Homogenization
Boundary value problems
Laminates
Finite element method
Series
Curvature
Boundary Value Problem
Verify
Moment
Numerical Examples
Three-dimensional
Unit
Evaluate
Cell
Vertex of a graph

Keywords

  • Composite plate
  • Homogenization
  • Multiscale analysis
  • Numerical plate testing

ASJC Scopus subject areas

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

Cite this

Numerical plate testing for linear two-scale analyses of composite plates with in-plane periodicity. / Terada, Kenjiro; Hirayama, Norio; Yamamoto, Koji; Muramatsu, Mayu; Matsubara, Seishiro; Nishi, Shin nosuke.

In: International Journal for Numerical Methods in Engineering, Vol. 105, No. 2, 13.01.2016, p. 111-137.

Research output: Contribution to journalArticle

Terada, Kenjiro ; Hirayama, Norio ; Yamamoto, Koji ; Muramatsu, Mayu ; Matsubara, Seishiro ; Nishi, Shin nosuke. / Numerical plate testing for linear two-scale analyses of composite plates with in-plane periodicity. In: International Journal for Numerical Methods in Engineering. 2016 ; Vol. 105, No. 2. pp. 111-137.
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