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塑性本构理论与工程材料塑性本构关系

郑颖人 孔亮 刘元雪

郑颖人, 孔亮, 刘元雪. 塑性本构理论与工程材料塑性本构关系[J]. 应用数学和力学, 2014, 35(7): 713-722. doi: 10.3879/j.issn.1000-0887.2014.07.001
引用本文: 郑颖人, 孔亮, 刘元雪. 塑性本构理论与工程材料塑性本构关系[J]. 应用数学和力学, 2014, 35(7): 713-722. doi: 10.3879/j.issn.1000-0887.2014.07.001
ZHENG Ying-ren, KONG Liang, LIU Yuan-xue. Plastic Constitutive Relation and Plastic Constitutive Theory for Engineering Materials[J]. Applied Mathematics and Mechanics, 2014, 35(7): 713-722. doi: 10.3879/j.issn.1000-0887.2014.07.001
Citation: ZHENG Ying-ren, KONG Liang, LIU Yuan-xue. Plastic Constitutive Relation and Plastic Constitutive Theory for Engineering Materials[J]. Applied Mathematics and Mechanics, 2014, 35(7): 713-722. doi: 10.3879/j.issn.1000-0887.2014.07.001

塑性本构理论与工程材料塑性本构关系

doi: 10.3879/j.issn.1000-0887.2014.07.001
基金项目: 国家重大基础研究发展规划(973)项目(2010CB732100;2011CB710606);山东省自然科学杰出青年基金(JQ201017)
详细信息
    作者简介:

    郑颖人(1933—),男,浙江镇海人,中国工程院院士,教授,博士生导师(通讯作者. Tel: +86-23-68750581; E-mail: zhengl32@163.com)

  • 中图分类号: O344;O344.2;O33

Plastic Constitutive Relation and Plastic Constitutive Theory for Engineering Materials

Funds: The National Basic Research Program of China (973 Program)(2010CB732100; 2011CB710606)
  • 摘要: 研究了材料的塑性本构理论,从理论上建立了严密的塑性本构方程,为建立工程材料塑性本构关系提供了理论基础,此后将理论应用于3种工程材料.依据材料的性质以及工程的要求,通过简化得出满足工程计算精度要求的岩土类摩擦材料、金属类晶体材料的塑性本构关系;对强度控制的工程问题如有充分塑性变形条件则可将材料视作理想塑性材料,应用屈服条件和极限分析条件,采用传统的或数值的极限分析方法,求得工程安全系数或极限承载力.
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    [2] 郑颖人, 孔亮. 岩土塑性力学[M]. 北京: 中国建筑工业出版社, 2010.(ZHENG Ying-ren, KONG Liang. Geotechnical Plastic Mechanics[M]. Beijing: China Building Industry Press, 2010.(in Chinese))
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    [4] 刘元雪, 郑颖人, 陈正汉. 含主应力轴旋转的土体一般应力应变关系[J]. 应用数学和力学, 1998,19(5): 407-413.(LIU Yuan-xue, ZHENG Ying-ren, CHEN Zheng-han. The general strain stress relation of soils involving the rotation of principal stress axes[J]. Applied Mathematics and Mechanics,1998,19(5): 407-413.(in Chinese))
    [5] 董彤, 郑颖人, 刘元雪, 阿比尔的. 考虑主应力轴旋转的土体本构关系研究进展[J]. 应用数学和力学, 2013,34(4): 327-335.(DONG Tong, ZHENG Ying-ren, LIU Yuan-xue, Abi Erdi. Research progress of the soil constitutive relation considering principal stress axes rotation[J]. Applied Mathematics and Mechanics,2013,34(4):327-335.(in Chinese))
    [6] Grabe P J, Clayton C R I. Effects of principal stress rotation on permanent deformation in rail track foundations[J]. Journal of Geotechnical and Geoenvironmental Engineering,2009,135(4): 555-565.
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    [8] Symes M T, Gens A, Hight D W. Drained principal stress rotation in saturated sand[J]. Geotechnique,1988,38(1): 59-81.
    [9] Lade P V. Elasto-plastic behavior of K0-consonidation clays in torsion shear tests[J]. Soils and Foundations,1989,29(2): 127-140.
    [10] 张启辉, 赵锡宏. 主应力轴旋转对剪切带形成的影响分析[J]. 岩土力学, 2000,21(1): 32-35.(ZHANG Qi-hui, ZHAO Xi-hong. An influence on shear band formation of the rotation of principal stress directions[J]. Rock and Soil Mechanics, 2000,21(1): 32-35.(in Chinese))
    [11] 罗强, 王忠涛, 栾茂田, 杨蕴明, 陈培震. 非共轴本构模型在地基承载力数值计算中若干影响因素的探讨[J]. 岩土力学, 2011,32(增1): 732-737.(LUO Qiang, WANG Zhong-tao, LUAN Mao-tian, YANG Yun-ming, CHEN Pei-zhen. Factors analysis of non-coaxial constitutive model’s application to numerical analysis of foundation bearing capacity[J]. Rock and Soil Mechanics,2011,32(supp 1): 732-737.(in Chinese))
    [12] Zienkiewicz O C, Humpheson C, Lewis R W. Associated and non-associated viscoplasticity and plasticity in soil mechanics[J]. Geotechnique,1975,25(4): 671-689.
    [13] 郑颖人. 岩土数值极限分析方法的发展与应用[J]. 岩石力学与工程学报, 2012,31(7): 1297-1316.(ZHENG Ying-ren. Development and application of numerical limit analysis for geological materials[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(7): 1297-1316. (in Chinese))
    [14] 郑颖人, 赵尚毅, 李安洪, 唐晓松. 有限元极限分析法及其在边坡中的应用[M]. 北京: 人民交通出版社, 2011.(ZHENG Ying-ren, ZHAO Shang-yi, LI An-hong, TANG Xiao-song. FEM Limit Analysis and Its Application in Slop Engineering[M]. Beijing: China Communications Press, 2011.(in Chinese))
    [15] 郑颖人, 朱合华, 方正昌, 刘怀恒. 地下工程围岩稳定分析与设计理论[M]. 北京: 人民交通出版社, 2012.(ZHENG Ying-ren, ZHU He-hua, FANG Zheng-chang, LIU Huai-heng. The Stability Analysis and Design Theory of Surrounding Rock of Undergrounding Engineering[M]. Beijing: China Communications Press, 2011.(in Chinese))
    [16] 董天文, 郑颖人. 基于强度折减法的桩基础有限元极限分析方法[J]. 岩土工程学报, 2010,32(増2): 162-165.(DONG Tian-wen, ZHENG Ying-ren. Limit analysis of FEM for pile foundation based on strength reduction[J]. Chinese Journal of Geotechnical Engineering,2010,32(supp 2): 162-165.(in Chinese))
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  • 被引次数: 0
出版历程
  • 收稿日期:  2014-02-24
  • 修回日期:  2014-03-31
  • 刊出日期:  2014-07-15

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