Effective stiffness of truss lattice plates
Received:October 08, 2005  Revised:June 06, 2006
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DOI:10.7511/jslx20076149
KeyWord:truss lattice material,truss plate,effective stiffness,representative volume element method
SU Wen-zheng  LIU Shu-tian  ZHANG Yong-cun
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Abstract:
      The effective properties of truss lattice material based on the effective continuum model have been widely investigated.Moreover,truss material is often used as plate-like structure and shows remarkable bending characteristics in deformation.It is of great significance to describe the plate-like truss lattice material with a plate model and to examine a suitable method to achieve the effective stiffness of the plate model.The purpose of this paper is to introduce an effective thin plate model which follows the theory of elastic-thin-plates with small deflection,based on the Kirchhoff assumption for plate-like truss lattice material,and to recommend a method to calculate the effective stiffness of the plate model.Specifically,the representative volume element(RVE) method,based on Dirichlet boundary conditions,was chosen as an effective method.The corresponding Dirichlet boundary conditions have been derived in detail before the effective thin plate stiffness of some typical truss lattice material plates is performed.The responses of different truss lattice effective thin plates under some boundary conditions and loading cases are compared with finite elements(FE) solutions and experimental observations.The results show that thin plate model with effective stiffness can simulate truss lattice material in response analysis precisely and that the effective plate stiffness from RVE,based on Dirichlet boundary conditions,is accurate,while,the integral method,based on the effective continuum model,cannot provide an accurate description of the effective stiffness.