一种矩形板塑性极限分析的新方法

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英文篇名：A new method of plastic limit analysis for rectangular plates 作者：柯江 英文作者：KE Jiang;School of Civil Engineering and Architecture,Shaanxi University of Technology; 关键词：塑性力学 ; 矩形板 ; 桁架单元 ; 极限分析 英文关键词：plasticity;;rectangular plates;;truss element;;limit analysis 中文刊名：SXGC 英文刊名：Journal of Plasticity Engineering 机构：陕西理工大学土木工程与建筑学院; 出版日期：2019-06-24 出版单位：塑性工程学报 年：2019 期：v.26;No.136 语种：中文; 页：SXGC201903035 页数：5 CN：03 ISSN：11-3449/TG 分类号：224-228

摘要

基于一种固体的新单元模型进行了板的塑性极限分析,该新单元模型是一个由24根杆件组成的桁架。以均布荷载作用下的简支正方形板与矩形板为例,通过新单元法与经典塑性极限分析理论的对比分析,可以发现:两种方法得到的极限荷载和塑性区的分布吻合良好,而且新单元法可以求出经典塑性极限分析理论难以得到的固体塑性区的发展过程及荷载-位移曲线,正方形板板底的屈服从板的中心开始沿对角线向四角发展,最后达到极限荷载,而矩形板板底的屈服从板的中部平行于长边方向往两端延长,再沿大约45°角的斜线方向往板的四角扩展,最后达到极限荷载。
        Based on a new element model of solid body,the plastic limit analysis of plate was carried out. The new element model is a truss element composed of 24 bars. Taking the simply supported square plate and rectangular plate under uniform load as an examples,by comparing the new element method with the classical plastic limit analysis theory,it can be found that the limit load and the distribution of plastic zone obtained by the two methods are in good agreement. Moreover,the new element method can find out the development process of the solid plastic zone and the load-displacement curve,which is difficult to get by the classical plastic limit analysis theory. The yielding of the bottom of the square plate is developed from the center of the plate to four corners along the diagonal line until the limit load is reached. The yielding of the bottom of the rectangular plate extends from the middle of the plate to the two ends parallel to the long side,and then extends along the direction of the oblique line of about 45° to the four corners of the plate,finally,the limit load is reached.

引文

[1]王仁,黄文彬,黄筑平.塑性力学引论[M].北京:北京大学出版社,1992.WANG Ren,HUANG Wenbin,HUANG Zhuping.Introduction to plasticity[M].Beijing:Peking University Press,1992.
    [2]徐秉业,刘信声.结构塑性极限分析[M].北京:中国建筑工业出版社,1985.XU Bingye,LIU Xinsheng.Plastic limit analysis of structure[M].Beijing:China Architecture&Building Press,1985.
    [3]汪建强,郭丽丽,李永兵,等.6016铝合金板材室温成形性及其数值模拟[J].塑性工程学报,2018,25(2):43-51.WANG Jianqiang,GUO Lili,LI Yongbing,et al.Formability and numerical simulation of 6016 aluminum alloy sheet at room temperature[J].Journal of Plasticity Engineering,2018,25(2):43-51.
    [4]宋坤,武凯,刘庆印,等.四辊卷板成形过程理论分析与数值仿真[J].锻压技术,2017,42(1):137-142.SONG Kun,WU Kai,LIU Qingyin,et al.Theoretical analysis and numerical simulation on four-roll rolling process[J].Forging&Stamping Technology,2017,42(1):137-142.
    [5]柯江.实体结构求解的新方法[J].山西建筑,2008,34(9):112-113.KE Jiang.The new method to solve solid structure[J].Shanxi Architecture,2008,34(9):112-113.
    [6]KE J.A new element model of solid bodies[J].Applied Mechanics and Materials,2012,174-177:2115-2118
    [7]柯江.弹塑性固体的新单元模型[J].山西建筑,2016,42(31):46-47.KE Jiang.A new element model of elastic-plastic solid bodies[J].Shanxi Architecture,2016,42(31):46-47.
    [8]柯江.钢材弹塑性分析的新模型[J].山西建筑,2017,43(14):23-25.KE Jiang.A new model for elasto-plastic analysis of steel[J].Shanxi Architecture,2017,43(14):23-25.
    [9]柯江.基于固体新单元模型分析理想弹塑性问题[J].山西建筑,2012,38(36):42-43.KE Jiang.Analysis on elastic perfectly-plastic problems based on new solid element model[J].Shanxi Architecture,2012,38(36):42-43.
    [10]柯江.正交各向异性新模型在平面应力问题中的应用[J].山西建筑,2013,39(19):18-20.KE Jiang.Application of new orthotropic model in plane stress problems[J].Shanxi Architecture,2013,39(19):18-20.
    [11]柯江.基于新模型求解平面应变问题[J].低温建筑技术,2014,36(8):92-94.KE Jiang.Solution of plane strain problems based on a new model[J].Low Temperature Architecture Technology,2014,36(8):92-94.
    [12]柯江.梁和框架塑性极限分析的新方法[J].山西建筑,2013,39(16):40-41.KE Jiang.A new method of plastic limit analysis for beams and frames[J].Shanxi Architecture,2013,39(16):40-41.