Journal of Shanghai University(Natural Science Edition) ›› 2017, Vol. 23 ›› Issue (6): 927-.doi: 10.12066/j.issn.1007-2861.1745

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Nonlocal analysis of wrinkling in thin plate bonded on elastic substrate

PENG Xiangwu, ZHAO Jianzhong, GUO Xingming   

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • Received:2016-01-13 Online:2017-12-30 Published:2017-12-30

Abstract:

Based on the nonlocal elastic theory, the paper studies stripe wrinkle of a thin plate bonded on an elastic substrate. The classic elastic results and nonlocal results are compared based on numerical calculation. The nonlocal scale effects of lower surface condition and Poisson ratio of the elastic substrate, thickness ratio, and modulus ratio are investigated. Numerical examples show that the nonlocal effect is significant when the substrate is incompressible, thin and stiff, and can be ignored when the substrate is thick and soft.

Key words: stripe, Winkler elastic coefficient, nonlocal theory