采用俞茂宏统一强度理论求解圆筒和球壳的极限值

田红亮; 彭文昱; 何孔德; 董元发; 杜义贤; 钟先友; 王骁鹏; 郤能

doi:10.7652/xjtuxb201803001

您当前的位置：

首页 >

文章列表页 >

采用俞茂宏统一强度理论求解圆筒和球壳的极限值

更新时间：2025-07-09

- 采用俞茂宏统一强度理论求解圆筒和球壳的极限值
- Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory
- 西安交通大学学报 2018年52卷第3期页码：1-11
- 作者机构：
  
  三峡大学机械与动力学院,湖北,宜昌,443002
- 作者简介：
- 基金信息：
  
  : 2017-09-02。作者简介: 田红亮(1973—),男,教授;何孔德(通信作者),男,副教授。基金项目: 国家自然科学基金资助项目(51775307,51605255,51775308)
- DOI：10.7652/xjtuxb201803001
  中图分类号： TH113.1
- 网络首发：2018-03-10，
  
  纸质出版：2018
- 稿件说明：
移动端阅览
田红亮, 彭文昱, 何孔德, 等. 采用俞茂宏统一强度理论求解圆筒和球壳的极限值[J]. 西安交通大学学报, 2018,52(3):1-11.

Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory[J]. 2018, 52(3): 1-11.
田红亮, 彭文昱, 何孔德, 等. 采用俞茂宏统一强度理论求解圆筒和球壳的极限值[J]. 西安交通大学学报, 2018,52(3):1-11. DOI： 10.7652/xjtuxb201803001.

Solving Limit Values of Cylinder and Spherical Shell Adopting Yu's Unified Strength Theory[J]. 2018, 52(3): 1-11. DOI： 10.7652/xjtuxb201803001.

摘要

使用俞茂宏统一强度理论

获得了薄壁圆筒的弹性极限压强和最小壁厚

并根据钢管与核心混凝土的横截面面积

求解了厚壁圆筒的纵向极限承载能力; 按照俞茂宏统一强度理论

得到了球壳的弹性极限压强和最小壁厚。计算表明:对于薄壁圆筒

其弹性极限压强随中间主应力系数的增大而增大; 当中间主应力系数很小时

弹性极限压强随拉压强度比的增大而略微减小

而当中间主应力系数较大时

弹性极限压强随拉压强度比的增大而增大; 最小壁厚随中间主应力系数的增大而减小; 当中间主应力系数很小时

最小壁厚随拉压强度比的增大仅有微小的增大

而当中间主应力系数较大时

最小壁厚随拉压强度比的增大而减小。对于厚壁圆筒

增加中间主应力系数或套箍指标都将提高其纵向极限承载能力; 当中间主应力系数较小时

纵向极限承载能力随拉压强度比的增大而减小

而当中间主应力系数较大时

纵向极限承载能力随拉压强度比的增大而增大; 塑性极限内压强随径厚比的增大而逐渐降低。对于球壳

其弹性极限压强随拉压强度比的增大而减小

最小壁厚随拉压强度比的增大而增大。

Abstract

The elastic ultimate pressure and minimum wall thickness in thin-walled cylinder are attained with Yu's unified strength theory

and the longitudinal ultimate loading capacity of thick-walled cylinder is solved according to the cross section area between steel tube and central concrete. The elastic ultimate pressure and minimum wall thickness in spherical shell are obtained according to Yu's unified strength theory. Calculation reveals that: for thin-walled cylinder

the elastic ultimate pressure increases with the increase in the intermediate principal stress coefficient; when the intermediate principal stress coefficient is small

the elastic ultimate pressure decreases slightly with the increase in the tensile-to-compressive strength ratio

while when this coefficient is large

the elastic ultimate pressure increases with the increase in the tensile-to-compressible strength ratio; the minimum wall thickness decreases with the increase in the intermediate principal stress coefficient; when the intermediate principal stress coefficient is very small

the minimum wall thickness increases trivially with the increase in the tensile-to-compressive strength ratio

while when this coefficient is large

the minimum wall thickness decreases with the increase in the tensile-to-compressive strength ratio. For thick-walled cylinder

the longitudinal ultimate carrying capacity will improve by increasing the intermediate principal stress coefficient or confinement index; when the intermediate principal stress coefficient is relatively small

the longitudinal ultimate loading capacity decreases with the increase in the tensile-to-compressive strength ratio

while when this coefficient is relatively large

the longitudinal ultimate loading capacity increases with the increase in the tensile-to-compressive strength ratio; and the plastic ultimate inner pressure decreases gradually with the increase in the diameter-to-thickness ratio. The elastic ultimate pressure of spherical shell decreases with the increase in the tensile-to-compressive strength ratio

and its minimum wall thickness increases with the increase in the tensile-to-compressive strength ratio.

关键词

Keywords

references

范文, 俞茂宏, 邓龙胜. 岩土结构强度理论 [M]. 北京: 科学出版社, 2017: i.

YU Maohong. Advances in strength theories for materials under complex stress state in the 20th century [J]. ASME Applied Mechanics Reviews, 2002, 55(3): 169-218.

俞茂宏. 强度理论百年总结 [J]. 彭一江, 译. 力学进展, 2004, 34(4): 529-560.

YU Maohong. Advances in strength theories for materials under complex stress state in the 20th century [J]. PENG Yijiang(translation). Advances in Mechanics, 2004, 34(4): 529-560.

俞茂宏. 强度理论新体系: 理论、发展和应用 [M]. 2版. 西安: 西安交通大学出版社, 2011: 123-132, 145-148, 152-165.

LIN Yuanhua, DENG Kuanhai, SUN Yongxing, et al. Through-wall yield collapse pressure of casing based on unified strength theory [J]. Elsevier Petroleum Exploration and Development, 2016, 43(3): 506-513.

LIN Yuanhua, SUN Yongxing, SHI Taihe, et al. Equations to calculate collapse strength for high collapse casing [J]. ASME Journal of Pressure Vessel Technology, 2013, 135(4): 041202.

LAW M, BOWIE G. Prediction of failure strain and burst pressure in high yield-to-tensile strength ratio linepipe [J]. Elsevier International Journal of Pressure Vessels and Piping, 2007, 84(8): 487-492.

GÜVEN U. Effects of different limit strength on plastic strains of thick walled pressure vessels [J]. Elsevier International Journal of Pressure Vessels and Piping, 2013, 104: 37-42.

SUN Yongxing, LIN Yuanhua, WANG Zhongsheng, et al. A new OCTG strength equation for collapse under external load only [J]. ASME Journal of Pressure Vessel Technology, 2011, 133(1): 011702.

XU Shuanqiang, YU Maohong. Shakedown analysis of thick-walled cylinders subjected to internal pressure with the unified strength criterion [J]. Elsevier International Journal of Pressure Vessels and Piping, 2005, 82(9): 706-712.

赵德文, 刘相华, 王国栋. 依赖Tresca和双剪应力屈服函数均值的屈服准则 [J]. 东北大学学报(自然科学版), 2002, 23(10): 976-979.

ZHAO Dewen, LIU Xianghua, WANG Guodong. Yield criterion based on the mean function of Tresca and twin shear stress yield functions [J]. Journal of Northeastern University(Natural Science), 2002, 23(10): 976-979.

赵德文, 谢英杰, 刘相华, 等. 由Tresca和双剪应力两轨迹间误差三角形中线确定的屈服方程 [J]. 东北大学学报(自然科学版), 2004, 25(2): 121-124.

ZHAO Dewen, XIE Yingjie, LIU Xianghua, et al. New yield equation based on geometric midline of error triangles between Tresca and twin shear stress yield loci [J]. Journal of Northeastern University(Natural Science), 2004, 25(2): 121-124.

赵德文, 张雷, 章顺虎, 等. 用GM屈服准则解析薄壁筒和球壳的极限载荷 [J]. 东北大学学报(自然科学版), 2012, 33(4): 521-523, 532.

ZHAO Dewen, ZHANG Lei, ZHANG Shunhu, et al. Limit load of thin-walled cylinder and spherical shell with GM yield criterion [J]. Journal of Northeastern University(Natural Science), 2012, 33(4): 521-523, 532.

翟越, 魏雪英, 计琳, 等. 薄壁圆筒在双剪统一强度理论下的统一解 [J]. 长安大学学报(建筑与环境科学版), 2004, 21(3): 1-3.

ZHAI Yue, WEI Xueying, JI Lin, et al. Unified limit solutions for thin wall cylinder based on twin shear unified strength theory [J]. Journal of Chang'an University(Architecture Environment Science Edition), 2004, 21(3): 1-3.

JIN Chengwu, WANG Lizhong, ZHANG Yongqiang. Strength differential effect and influence of strength criterion on burst pressure of thin-walled pipelines [J]. Springer Applied Mathematics and Mechanics(English Edition), 2012, 33(11): 1361-1370.

李子丰. 统一强度理论在杆管柱力学中的适用性和具有SD效应材料的安全应力域 [J]. 石油学报, 2016, 37(12): 1537-1542.

LI Zifeng. Applicability of unified strength theory in tubular mechanics and safety stress field of the material with SD effect [J]. Acta Petrolei Sinica, 2016, 37(12): 1537-1542.

刘鸿文, 林建兴, 曹曼玲. 材料力学: Ⅰ [M]. 6版. 北京: 高等教育出版社, 2017: 225-228.

俞茂宏, 李建春. 新土力学研究 [M]. 武汉: 武汉大学出版社, 2017: 104-105.

俞茂宏, 昝月稳, 徐栓强. 岩石强度理论及其应用 [M]. 北京: 科学出版社, 2017: 146-147.

YU Maohong, XIA Guiyun, KOLUPAEV V A. Basic characteristics and development of yield criteria for geomaterials [J]. Elsevier Journal of Rock Mechanics and Geotechnical Engineering, 2009, 1(1): 71-88.

YU Maohong, KOLUPAEV V A, LI Yueming, et al. Advances in unified strength theory and its generalization [J]. Elsevier Procedia Engineering, 2011, 10: 2508-2513.

俞茂宏, 杨松岩, 刘春阳, 等. 统一平面应变滑移线场理论 [J]. 土木工程学报, 1997, 30(2): 14-26, 41.

YU Maohong, YANG Songyan, LIU Chunyang, et al. Unified plane-strain slip line field theory system [J]. China Civil Engineering Journal, 1997, 30(2): 14-26, 41.

丁敏, 汪友弟, 代春辉, 等. 钢管混凝土轴心受压构件的徐变预测模型及其徐变性能分析 [J]. 工程力学, 2017, 34(6): 166-177.

DING Min, WANG Youdi, DAI Chunhui, et al. Creep calculation and behavior analysis of concrete-filled steel tubular member under axial compression [J]. Engineering Mechanics, 2017, 34(6): 166-177.

钱稼茹, 李宁波, 纪晓东, 等. 外方内圆复合钢管高强混凝土柱抗震性能试验研究 [J]. 建筑结构学报, 2013, 34(5): 96-104.

QIAN Jiaru, LI Ningbo, JI Xiaodong, et al. Experimental study on seismic behavior of composite-sectioned high strength concrete filled steel tubular columns [J]. Journal of Building Structures, 2013, 34(5): 96-104.

俞茂宏. 材料力学 [M]. 2版. 北京: 高等教育出版社, 2015: 325-327, 364-367.

俞茂宏. 双剪理论及其应用 [M]. 北京: 科学出版社, 2016: iv.

王卓. 厚、薄壁钢管混凝土轴压短柱承载力的统一解 [J]. 广东建材, 2009, 25(6): 16-19.

田红亮,董元发,钟先友,等.圆锥微凸体在粗糙表面接触分析中的应用.2017,51(11):71-78.[doi:10.7652/xjtuxb2017 11011]

周晓松,梅志远,张焱冰.夹芯复合材料T型接头弯曲疲劳损伤机制及剩余强度试验研究.2017,51(9):125-130.[doi:10.7652/xjtuxb201709018]

方斌,张进华,洪军,等.联合载荷作用下高速角接触球轴承快速计算方法及接触角分析.2017,51(6):115-121.[doi:10.7652/xjtuxb201706019]

付曦,张俊红,寇海军,等.复杂载荷下轴流压气机叶片疲劳损伤数值研究.2017,51(5):149-155.[doi:10.7652/xjtuxb 201705021]

王庆朋,张力,尚会超,等.考虑应变硬化的混合弹塑性接触模型.2016,50(2):132-137.[doi:10.7652/xjtuxb201602022]

宋丽,廖红建.应变空间的软岩统一弹塑性软化本构模型.2007,41(7):857-861.[doi:10.7652/xjtuxb200707023]

浏览量

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

采用俞茂宏统一强度理论求解套管的极限外压强

结构-语义-残差协同的图像压缩框架：面向隐私保护与高保真重建

水蒸气掺混对氨裂解气旋流燃烧与排放特性的影响研究

张角凹坑气膜孔对双层壁气膜冷却特性的影响

面向高海拔空冷发电机防晕性能演化规律的电热耦合研究