Numerical plate testing for linear multi-scale analyses of composite plates

Kenjiro Terada, Norio Hirayama, Koji Yamamoto, Seishiro Matsubara

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


A method of numerical plate testing for composite plates with in-plane periodic heterogeneity is proposed. A thick plate model with transverse shear deformation is employed at macro-scale, while three-dimensional solids are assumed at micro-scale. The homogenization process to evaluate the macroscopic plate stiffnesses is called “numerical plate testing” (NPT) in this study, which is in fact a series of microscopic analysis on a unit cell. 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 software, 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 NMT (homogenization analysis), macroscopic and localization analyses for an in-plane heterogeneous composite plate to demonstrate the performance of the proposed method.

Original languageEnglish
Pages (from-to)1-14
Number of pages14
JournalTransactions of the Japan Society for Computational Engineering and Science
Publication statusPublished - 2015 Jan 23


  • Composite plate
  • Homogenization
  • Multiscale Analysis
  • Numerical Plate Testing


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