Journal of Shanghai University(Natural Science Edition) ›› 2015, Vol. 21 ›› Issue (4): 422-431.doi: 10.3969/j.issn.1007-2861.2014.02.007

• Metallurgical Materials • Previous Articles     Next Articles

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

LIU Liang, PENG Xiang-wu, WANG Qing-zhan, GUO Xing-ming   

  1. (Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China)
  • Received:2014-03-04 Online:2015-08-31 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.

Key words: biaxial compression, bonding material, buckling, nonlocal elastic theory, temperature change

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