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郑健龙, 张起森. 求解弹性地基上带裂纹Reissner板的新方法[J]. 岩土工程学报, 1990, 12(1): 12-22.
引用本文: 郑健龙, 张起森. 求解弹性地基上带裂纹Reissner板的新方法[J]. 岩土工程学报, 1990, 12(1): 12-22.
Zheng Jianlong, Zhang Qisen. A New Method of Solving Cracked Reissner Plates on Elastic Foundation[J]. Chinese Journal of Geotechnical Engineering, 1990, 12(1): 12-22.
Citation: Zheng Jianlong, Zhang Qisen. A New Method of Solving Cracked Reissner Plates on Elastic Foundation[J]. Chinese Journal of Geotechnical Engineering, 1990, 12(1): 12-22.

求解弹性地基上带裂纹Reissner板的新方法

A New Method of Solving Cracked Reissner Plates on Elastic Foundation

  • 摘要: 本文从考虑横向剪切效应的Reissner理论出发,导出了Winkler地基上两对边简支、另两对边自由的矩形板在自由边界上受单位集中弯矩作用时的Green函数,并以此作为基本解,应用边界积分方程的方法求得了Winkler地基上两对边简支、另两对边自由,在垂直于简支边的对称线上有穿透裂纹的Reissner板受均布载荷作用时的应力强度因子,同时对若干结构参数和材料参数对于应力强度因子的影响进行了分析。计算表明,本文的理论推导是正确的,数值结果是可靠的。

     

    Abstract: In the paper, Green function of plates on Winkler foundation with two simply-supported opposite edges and two free edges under unit concentrated bending moment acting at a free edge is derived from Reissner’s plates theory. Based on the fundamental solution presented, the intensity factors of Reissner plates on Winkler foundation with two simply-supported opposite edges and two free edges cracked along symmetrical axis perpendicular to simply-supported edges under uniform load are ob-taind by means of the boundary method. Moreover, the influence of some structural parameters and material constants on intensity factors is analyzed.Calculation shows that the theoretical derivation and numerical results are correct.

     

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