单向承拉层合板的塑性分叉现象

THE PLASTIC BIFURCATION PHENOMENA IN LAMINATED PLATE UNDER UNIFORM TENSION

  • 摘要: 在弹塑性大变形分析中,控制微分方程的分叉现象予示了一系列有实际工程背景的破坏机理.文献考虑了无限平面内夹有一薄层另种材料的层间不稳定.但分叉方程的推导涉及极繁琐的复数演算,难以推广运用于有限厚度的多层复合板.本文提出由计算机自动形成分叉方程,并对非钱性特征方程迭代求解,模拟出分叉现象.通过若干算例证实了所提方法的可行性,并对影响层合板分叉的诸因素进行了讨论,尤其是成功地口拟了层间剪力集中现象.

     

    Abstract: In the elasto-plastic analysis, much more atte'ntion has been paid to bifurcation behaviour of the governing equation which always predicts various mechanism of failure or fractures In reference (5), an infinite plate a thin layer sandwiched was considered for its interface insta bilities and it was shown that the innerbuckling could appear Before the emergence of shear bands.Unfortunately, the analytical derivation of this bifureation is quite tedious about complex function calculus. Hence, the extention of this analytical scheme to the laminated plate will be even difficult and troublesome as we tasted.

     

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