CLC number: TV3

On-line Access: 2013-04-03

Received: 2012-08-04

Revision Accepted: 2013-01-09

Crosschecked: 2013-03-06

Cited: 2

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Qiang Xu, Jian-yun Chen, Jing Li, Gang Xu. Coupled elasto-plasticity damage constitutive models for concrete[J]. Journal of Zhejiang University Science A, 2013, 14(4): 256-267.

@article{title="Coupled elasto-plasticity damage constitutive models for concrete",

author="Qiang Xu, Jian-yun Chen, Jing Li, Gang Xu",

journal="Journal of Zhejiang University Science A",

volume="14",

number="4",

pages="256-267",

year="2013",

publisher="Zhejiang University Press & Springer",

doi="10.1631/jzus.A1200196"

}

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%T Coupled elasto-plasticity damage constitutive models for concrete

%A Qiang Xu

%A Jian-yun Chen

%A Jing Li

%A Gang Xu

%J Journal of Zhejiang University SCIENCE A

%V 14

%N 4

%P 256-267

%@ 1673-565X

%D 2013

%I Zhejiang University Press & Springer

%DOI 10.1631/jzus.A1200196

TY - JOUR

T1 - Coupled elasto-plasticity damage constitutive models for concrete

A1 - Qiang Xu

A1 - Jian-yun Chen

A1 - Jing Li

A1 - Gang Xu

J0 - Journal of Zhejiang University Science A

VL - 14

IS - 4

SP - 256

EP - 267

%@ 1673-565X

Y1 - 2013

PB - Zhejiang University Press & Springer

ER -

DOI - 10.1631/jzus.A1200196

**Abstract: **The paper is to design and construct a coupled elasto-plasticity damage constitutive model for concrete. Based on the energy dissipation principle, the hsieh-Ting-Chen four-parameter yield function is used. The model can reflect different strength characteristics of concrete in tension and compression, and reduce the limitation and lacuna of the traditional damage constitutive models for concrete. Furthermore, numerical test for concrete stress-strain relation under uniaxial tension and compression is given. Moreover, the damage process of concrete gravity dam is calculated and analyzed in seismic load. Compared with other damage constitutive models, the proposed model contains only one unknown parameter and the other parameters can be found in the hsieh-Ting-Chen four-parameter yield function. The same damage evolution law, which is used for tension and compression, is good for determining stress-strain constitutive and damage characteristics in complex stress state. This coupled damage constitutive models can be applied in analyzing damage of concrete gravity dam and arch dam.

**
**

1. Introduction

Many studies added damage factor in constitutive models to simulate the constitutive relation of concrete. The classical damage models contain the models proposed by Loland (

These models, however, contain many parameters (Kratzig and Polling,

2. Establishment of elasto-plastic damage constitutive

As simple as possible, the damage threshold function is equivalent to the yield function, and the criteria of loading and unloading are given by

Then the calculation of plastic strain is the same as the classical plastic theory. In this section, it is briefly introduced. Plastic potential function

Because it has the direct relation between

The damage factor

The relation between normal stress

Then we can obtain:

It is assumed that the strain of damaged material under the normal stress

Then we have

Based on the consistency condition of yield function, we have

Substituting Eqs. (

Because Eq. (

Thus,

For

Then

It is defined as

For

As simple as possible, the dissipation potential

Substituting Eqs. (

Substituting four-parameter yield function

Then the elasto-plastic damage constitutive model can be established, and it can calculate the damage factor of tension or compression that are coupled and plastic strain.

3. Numerical simulation

A comparison of the Mazars model (Mazars and Pijaudier-Cabot,

The damage model in software Abaqus/CAE in complex stress state is proven and still effective. To verify the reliability of the damage model in complex stress state, which is proposed in this paper, a comparison of the computed results by the damage model in software Abaqus/CAE and by proposed damage model is made. Thus, some numerical experiments on concrete systems, which are concrete gravity dam and arch dam according to subsections 3.2 and 3.3, subjected to multiaxial stress state are made in advance to verify the applicability of the proposed model.

The dam system and monitoring points are as shown in Fig.

From the analyses of Figs.

4. Conclusions

* Project supported by the National Natural Science Foundation of China (Nos. 51109029, 51178081, 51138001 and 51009020), the China Postdoctoral Science Foundation (No. 20110491535), and the State Key Development Program for Basic Research of China (No. 2013CB035905)

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