Skip to main content

Official Journal of the Japan Wood Research Society

  • Original Article
  • Published:

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

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

Ï€ :

total potential energy of panel

A ij ,D ij :

extensional and bending stiffness, respectively

É› x ,É› y :

midplane strains inx andy directions, respectively

ψ xy :

midplane shear strain inxy plane

N M x , N M y :

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 M x b2/E2h3

N cr :

nondimensional critical load,N M x,cr 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

References

  1. Yamazoe M, Sadoh T (1993) Predicting moisture content fluctuations of wood accompanying the weather and seasonal changes of atmosphere. Mokuzai Gakkaishi 39:788–794

    Google Scholar 

  2. Leissa AW (1987) A review of laminated composite plate buckling. Appl Mech Rev ASME 40:575–591

    Article  Google Scholar 

  3. Chia CY, Prabhakara MK (1974) Postbuckling behavior of unsymmetrically layered anisotropic rectangular plates. J Appl Mechanics March:155–162

    Article  Google Scholar 

  4. Rao GV, Raju KK (1984) Thermal postbuckling of columns. AIAA J 22:850–851

    Article  Google Scholar 

  5. Tauchert TR (1991) Thermally induces flexure, buckling, and vibration of plates. Appl Mech Rev ASME 44:347–360

    Article  Google Scholar 

  6. Noor AK, Burton WS (1992) Computational models for high-temperature multilayered composite plates and shells. Appl Mech Rev ASME 45:419–445

    Article  Google Scholar 

  7. Raju KK, Rao GV (1989) Thermal post-buckling of thin simply supported orthotropic square plates. Composite Struct 12:149–154

    Article  Google Scholar 

  8. Myers CA, Hyer MW (1991) Thermal buckling and postbuckling of symmetrically laminated composite panels. J Thermal Stress 14:519–540

    Article  Google Scholar 

  9. Feldman E, Aboudi J (1995) Thermal postbuckling of metal marix laminated plates. J Thermal Stress 18:197–218

    Article  Google Scholar 

  10. Librescu L, Lin W, Nemeth MP, Starnes JH (1995) Thermomechanical postbuckling of geometrically imperfect flat and curved panels taking into account tangential edge constraints. J Thermal Stress 18:465–482

    Article  Google Scholar 

  11. Shen HS, Lin ZQ (1995) Thermal post-buckling analysis of imperfect lamiated plates. Comput Struct 57:533–540

    Article  Google Scholar 

  12. Shen HS (1998) Thermomechanical post-buckling analysis of imperfect lamiated plates using higher-order shear-deformation theory. Comput Struct 66:395–409

    Article  Google Scholar 

  13. Tauchert TR (1986) Thermal stresses in plates — statistical problems. In: Hetnarski RB (ed) Thermal stresses I. Elsevier Science, Amsterdam, p 123

    Google Scholar 

  14. Jones RM (1975) Mechanics of composite materials. Scripta Book Company, pp 239–259

  15. Chia CY (1980) Nonlinear analysis of plates. McGraw-Hill, New York, pp 158–166

    Google Scholar 

  16. Suchsland O (1990) Estimating the warping of veneered furniture panels. For Prod J 40(9):39–43

    Google Scholar 

  17. Spalt HA, Sutton RF (1968) Buckling of thin surfacing materials due to restrained hygroexpansion. For Prod J 18(4):53–56

    Google Scholar 

  18. Suchsland O, Xu D (1992) Determination of swelling stresses in wood-based materials. For Prod J 42(5):25–27

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Wook Kang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01171225

Key words