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小变形情况下的奇异屈服面弹塑性本构模型

发表时间:2008-05-15  浏览量:2117  下载量:1150
全部作者: 毛安雄,陈良森
作者单位: 南昌大学建筑工程学院工程力学实验中心
摘 要: 在岩土材料本构关系的研究中,奇异全屈服面的情况非常多见,如土的双屈服面模型、混凝土的四参数模型等。然而一般的弹塑性本构理论适用于正则屈服面,对于奇异屈服面的情况论述较少。本文讨论了Lagrange型有限变形弹塑性本构理论的屈服函数、加卸载准则、本构方程等,最终将Lagrange型有限变形弹塑性本构理论应用于小变形情况下的奇异屈服面弹塑性模型,得出了完整的Lagrange型有限变形弹塑性本构理论。本文的工作使得Lagrange型有限变形弹塑性本构理论更为完整,并对岩土本构的理论研究有一定的意义。
关 键 词: 固体力学;有限变形;背应力;小变形;奇异屈服面
Title: A constitutive model of elastic-plasticity at infinitesimal strain for singular yield suface
Author: MAO Anxiong, CHEN Liangsen
Organization: Center of Engineering Mechanics, School of civil Engineering and Architecture, Nanchang University
Abstract: The situation of singular yield surface are very common in the research of constitutive relation of geo-materials, for example, two-yield-surface soil model, four-parameter concrete model, and so on. But the theory of elastic-plastic constitutive is generally suitable for regular yield surface. It is not suitable for singular yield surface. This paper discusses the yield function, loading unloading criterion and constitutive equation of Lagrangian finite deformation elastic-plasticity theory. Finally, Lagrangian finite elastic plasticity theory is used on constitutive models of elastic-plasticity at infinitesimal strain, and the complete constitutive relation for singular yield surface theory is obtained. This paper are integrated into the Lagrangian theory of elastic-plastic constitutive, and is significant for the research of constitutive relation of geo-materials.
Key words: solid mechanics;finite deformation;back stress;infinitesimal strain;singular yield surface
发表期数: 2008年9月第9期
引用格式: 毛安雄,陈良森. 小变形情况下的奇异屈服面弹塑性本构模型[J]. 中国科技论文在线精品论文,2008,1(9):1001-1006.
 
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