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Official Journal of the Japan Wood Research Society

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Postbuckling of thin wood-based sandwich panels due to hygroexpansion under high humidity

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Abstract

This study was carried out to investigate the postbuckling behavior of thin wood-based sandwich panels under high humidity. Using the Rayleigh-Ritz method based on the von Karman nonlinear theory for the panel, the solutions for both the approximate and the closed form for postbuckling of orthotropic panels were derived to evaluate the deflection for the boundary condition of all clamped edges. The results suggested that the edge movement be considered for evaluation of a critical moisture content and deflection of thin wood-based panels fixed on the core with an adhesive. The numerical solution obtained from the derived model showed some discrepancy with the experimental results. The predicted results overestimated the center deflection of the panels because creep and plastic deformation might be caused by considerable in-plane stress on panels.

Abbreviations

π :

total potential energy of panel

A ij ,D ij :

extensional and bending stiffness, respectively

ɛ x ,ɛ y :

midplane strains inx andy directions, respectively

ψ xy :

midplane shear strain inxy plane

N x M , N y M :

hygroscopic forces inx andy directions, respectively

h :

panel thickness

a, b :

panel length inx andy directions, respectively

x, y, z :

coordinate system

u, v, w :

displacement inx, y, andz directions, respectively

ΔMC :

moisture content change

a x ,a y :

coefficient of linear expansion inx andy directions, respectively

LE :

linear expansion (αΔMC)

s :

arc length

R :

radius of curvature

N x ,N y :

resultant in-plane forces per unit length inx andy directions, respectively

N n :

nondimensional loadN x M b2/E2h3

N cr :

nondimensional critical load,N x,cr M b2/E2h3

β :

ratio of the core to the total width,a c /a + a c

E c :

effective core MOE,E +E (i.e., the summation of MOE parallel to the grain and perpendicular to the grain)

h c :

core thickness

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Correspondence to Wook Kang.

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Kang, W., Jung, H.-. Postbuckling of thin wood-based sandwich panels due to hygroexpansion under high humidity. J Wood Sci 47, 221–227 (2001) doi:10.1007/BF01171225

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Key words

  • Postbuckling
  • Nonlinear theory
  • Orthotropic
  • Rayleigh-Ritz method
  • Plastic deformation