## 留言板

 引用本文: 陈书宇, 沈成康, 金吾根. 有限变形下的混凝土动态本构关系研究[J]. 应用数学和力学, 2004, 25(12): 1257-1263.
CHEN Shu-yu, SHEN Cheng-kang, JIN Wu-gen. Study on Dynamic Constitutive Relations for Concrete With Finite Deformation[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1257-1263.
 Citation: CHEN Shu-yu, SHEN Cheng-kang, JIN Wu-gen. Study on Dynamic Constitutive Relations for Concrete With Finite Deformation[J]. Applied Mathematics and Mechanics, 2004, 25(12): 1257-1263.

• 中图分类号: O313

## Study on Dynamic Constitutive Relations for Concrete With Finite Deformation

• 摘要: 讨论有限变形和小变形假设下本构关系的区别，并将其运用于混凝土的弹-粘塑性本构关系研究，提出了一个应变率相关的动态力学模型．模型基于Ottosen的4参数屈服准则，分别考虑混凝土在硬化阶段和软化阶段加载面的不同变化规律，建立冲击荷载下的混凝土本构关系．该模型可以应用于冲击载荷下混凝土材料响应的模拟．引进Green-Naghdi客观率建立有限变形的混凝土模型．根据大量实验结果对应变率和材料强度的关系提出合理假设，使模型可以反映混凝土大变形的动态力学行为，为相关工程问题的研究提供有益的思路和有效的工具．
•  [1] Jeremic B, Runesson K. Sture S. Finite deformation analysis of geomaterials [J].Internat J Numer Anal Methods Geomech,2001,25(4):809—840. doi: 10.1002/nag.155 [2] Ottosen N S. A failure criterion for concrete[J].J Engineering Mechanics Division,1979,105(1):127—141. [3] CHEN Shu-yu.Nonlinear elasto-viscoplastic model for concrete subject to impact loading[A].In:CHIEN Wei-zang Ed.the Fourth Internat Conf Nonlinear Mechanics[C].Shanghai:Shanghai University Press,2002,197—199. [4] Imran I,Pantazopoulou S J.Plasticity model for concrete under triaxial compression [J].J Eng Mech,2001,127(2):281—290. [5] Lade P V. Effects of voids and volume changes on the behaviour of frictional materials[J].Internat J Numer Anal Methods Geomech,1988,12(3):351—370. [6] 陈书宇. 一种混凝土损伤模型和数值方法[J].爆炸与冲击,1998,18(4):349—357. [7] Healy B E,Dodds R H. A large strain plasticity model for implicit finite element analyses[J].Comput Mech,1992,10(1):95—112. [8] Green A E, Naghdi P M. A general theory of an elastic-plastic continuum[J].Arch Rational Mech Anal,1965,18(3):251—257. [9] Arora J S,Dutta A. Explicit and implicit methods for design sensitivity analysis of nonlinear structures under dynamic loads[J].Appl Mech Review,1997,50(1):11—19.

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##### 出版历程
• 收稿日期:  2003-04-03
• 修回日期:  2004-06-22
• 刊出日期:  2004-12-15

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