Study on Dynamic Constitutive Relations for Concrete With Finite Deformation

CHEN Shu-yu; SHEN Cheng-kang; JIN Wu-gen

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 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.

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.

PDF( 300 KB)

Study on Dynamic Constitutive Relations for Concrete With Finite Deformation

1.
Department of Mechanics and Engineering Science, Fudan University, Shanghai 200433, P. R. China;

Received Date: 2003-04-03
Rev Recd Date: 2004-06-22
Publish Date: 2004-12-15

Abstract

Abstract

The differences between finite deformation and infinitesimal deformation are discussed. They are exercised on elasto-viscoplastic constitutive relations of concrete.Then,a Rate-dependent mechanics model was presented on the basis of Ottosen's four-parameter yield criterion,where different loading surface transferring laws were taken into account,when material was in hardening stage or in softening stage,respectively.The model is well established,so that it can be applied to simulate the response of concrete subject to impact loading.Green-Naghdi stress rate was introduced as objective stress rate.Appropriate hypothesis was postulated in accordance with many experimental results, which could reflect the mechanical behaviour of concrete with large deformation.Available thoughts as well as effective methods are also provided for the research on related engineering problems.
- constitutive model,
- finite deformation,
- concrete,
- strain-rate effect,
- impact loading

FullText(HTML)

References(9)

References

[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. doi: 10.1061/(ASCE)0733-9399(2001)127:3(281)
[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. doi: 10.1002/nag.1610120402
[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.