Elastic-plastic secondary indeterminate problem for thin-walled pipe through the inner-wall loading by three-point bending
Elastic-plastic secondary indeterminate problem for thin-walled pipe through the inner-wall loading by three-point bending
复制标题
三点弯曲内壁加载薄壁管弹塑性二次不定问题
DOI：
10.1080/15397734.2016.1180993
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发表时间：
2017-04
影响因子：
3.9
通讯作者：
Zhao Feiping
中科院分区：
文献类型：
--
作者：
Yu Gaochao;Zhao Jun;Zhao Feiping
薄壁管三点弯曲内壁载荷是对称三辊整圆过程中的弹塑性二次不确定问题。在本研究中，忽略了管道与下滚轮之间切点的移动。采用双线性硬化材料模型，考虑静力平衡条件、弹塑性变形物理关系和变形协调条件。基于几何离散思想，将一根半圆管道沿周向均匀网格划分为N个几何参数相同的微管壁单元。计算了各单元的变形特性，然后采用荷载增量法求解了整个管道的变形历史响应。利用ABAQUS软件建立了三辊整圆过程静态弯曲的有限元模型。理论和仿真结果表明：管道截面存在两个正向弯曲区和两个反向弯曲区；最大弯曲曲率出现在管道的底部截面，最小弯曲曲率出现在管道与下辊相切点对应的截面。给出了上辊载荷、最大（最小）弯曲曲率和压下量之间的定量关系。最后，通过数值模拟验证了理论计算的可靠性。
ABSTRACT The inner-wall loading by three-point bending about thin-walled pipe is an elastic-plastic secondary indeterminate problem in the symmetrical three-roller setting round process. In this study, the shifting of the tangent point between the pipe and lower roller is ignored. The bilinear hardening material model is adopted, and the static equilibrium condition, physical relationship of elastic-plastic deformation, and deformation compatibility condition are taken into account. Based on the geometrical discrete idea, a semi-circular pipe is meshed equably into N micro-pipe-wall elements with same geometric parameters along the circumferential direction. Deformation characteristics of each element are calculated, and then the deformation history response of the whole pipe is resolved by the load increment method. The finite element model of static bending in three-roller setting round process is established by using the software package ABAQUS. The theoretical and simulated results show that the cross section of pipe has two positive bending regions and two reverse bending regions; the maximum bending curvature appears in the bottom section of pipe, the minimum bending curvature appears in the section corresponding to the tangent point of the pipe and lower roller. The quantitative relationships between the upper roller load, maximum(minimum) bending curvature and reduction are given. Finally, the reliability of theoretical calculation is proved by numerical simulation.
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影响因子：
3.9
作者：
D. Khan;K. Biswas
通讯作者：
D. Khan;K. Biswas
DOI：
10.1016/s1006-706x(14)60050-9
发表时间：
2014-03
影响因子：
2.5
作者：
Zhi-qiang Zhang;Jianli Song;Jianhua Fu;Yongtang Li;Yi-Na Guo
通讯作者：
Zhi-qiang Zhang;Jianli Song;Jianhua Fu;Yongtang Li;Yi-Na Guo
影响因子：
3.9
作者：
J. Gerstmayr;M. Matikainen
通讯作者：
J. Gerstmayr;M. Matikainen
DOI：
10.1115/msec_icmp2008-72454
发表时间：
2008
期刊：
--
影响因子：
--
作者：
A. Gandhi;Himanshu V. Gajjar;H. Raval
通讯作者：
A. Gandhi;Himanshu V. Gajjar;H. Raval
DOI：
10.1061/(asce)0733-9445(2005)131:2(353
发表时间：
2005-02
期刊：
Journal of Structural Engineering-asce
影响因子：
--
作者：
H. E. Williams;C. Dym
通讯作者：
H. E. Williams;C. Dym