Metallurgical Materials

Scale effect on buckling of bonding materials under biaxial compression with temperature changes

Expand
  • (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)

Received date: 2014-03-04

  Online published: 2015-08-31

Abstract

The scale effect on buckling of bonding materials under biaxial compression coupled with temperature changes is studied. A developed nonlocal plate theory is applied to study the buckling behavior of the nonlocal multiple-plate model. The Navier’s approach is used to obtain exact solutions for buckling loads under simply supported boundary conditions. The effects of the scale coefficient, wave number, thickness ratio, elastic modular ratio and temperature changes on the buckling loads are investigated. It is shown that the critical buckling force may be overestimated with the classical continuum theory. The nonlocal effect is proved to be more prominent for higher buckling modes. In addition, three kinds of temperature changes are taken into account. The influence of temperature
changes on the buckling loads and the relationship with the system size are analyzed.

Cite this article

LIU Liang, PENG Xiang-wu, WANG Qing-zhan, GUO Xing-ming . Scale effect on buckling of bonding materials under biaxial compression with temperature changes[J]. Journal of Shanghai University, 2015 , 21(4) : 422 -431 . DOI: 10.3969/j.issn.1007-2861.2014.02.007

References

[1] Chen X, Hutchinson J W. Herringbone buckling patterns of compressed thin films on compliant substrates [J]. Journal of Applied Mechanics, 2004, 71(5): 597-603.

[2] Huang R. Kinetic wrinkling of an elastic film on a viscoelastic substrate [J]. Journal of the Mechanics and Physics of Solids, 2005, 53(1): 63-89.

[3] Huang R, Suo Z. Instability of a compressed elastic film on a viscous layer [J]. International Journal of Solids and Structures, 2002, 39(7): 1791-1802.

[4] Huang R, Suo Z. Wrinkling of a compressed elastic film on a viscous layer [J]. Journal of Applied Physics, 2002, 91(3): 1135-1142.

[5] Li B, Huang S Q, Feng X Q. Buckling and postbuckling of a compressed thin film bonded on a soft elastic layer: a three-dimensional analysis [J]. Arch Appl Mech, 2010, 80(2): 175-188.

[6] Eringen A C. Nonlocal polar elastic continua [J]. International Journal of Engineering Science, 1972, 10(1): 1-16.

[7] Eringen A C. On differential-equations of nonlocal elasticity and solutions of screw dislocation and surface-waves [J]. Journal of Applied Physics, 1983, 54(9): 4703-4710.

[8] Eringen A C. Nonlocal contimuum field theories [M]. New York: Springer, 2001.

[9] Shen H S. Nonlocal plate model for nonlinear analysis of thin films on elastic foundations in thermal environments [J]. Composite Structures, 2011, 93(3): 1143-1152.

[10] Pijaudier S M G, Bazant Z P. Nonlocal damage theory [J]. Journal of Engineering Mechanics, 1987, 113(10): 1512-1533.

[11] Bazant Z P. Nonlocal damage theory based on micro-mechanics of crack interactions [J]. Journal of Engineering Mechanics, 1994, 120(1): 593-617.

[12] Pradhan S C. Buckling of single layer graphene sheet based on nonlocal elasticity and higher order shear deformation theory [J]. Phys Lett A, 2009, 373(45): 4182-4188.

[13] Pradhan S C, Murmu T. Small scale effect on the buckling of single-layered graphene sheets under bi-axial compression via nonlocal continuum mechanics [J]. Computational Material Science, 2009, 47(1): 268-274.

[14] Pradhan S C, Murmu T. Small scale effect on the buckling analysis of single-layered graphene sheet embedded in an elastic medium based on nonlocal plate theory [J]. Physica E, 2010, 42(5): 1293-1301.

[15] Wang Q, Liew K M. Application of nonlocal continuum mechanics to static analysis of microand nano-structures [J]. Physics Letters A, 2007, 363(3): 236-242.
Outlines

/