CLC number: TV3

On-line Access: 2014-03-04

Received: 2013-07-15

Revision Accepted: 2013-11-15

Crosschecked: 2014-02-12

Cited: 1

Clicked: 5859

Qiang Xu, Jian-yun Chen, Jing Li, Hong-yuan Yue. A study on the contraction joint element and damage constitutive model for concrete arch dams[J]. Journal of Zhejiang University Science A, 2014, 15(3): 208-218.

@article{title="A study on the contraction joint element and damage constitutive model for concrete arch dams",

author="Qiang Xu, Jian-yun Chen, Jing Li, Hong-yuan Yue",

journal="Journal of Zhejiang University Science A",

volume="15",

number="3",

pages="208-218",

year="2014",

publisher="Zhejiang University Press & Springer",

doi="10.1631/jzus.A1300244"

}

%0 Journal Article

%T A study on the contraction joint element and damage constitutive model for concrete arch dams

%A Qiang Xu

%A Jian-yun Chen

%A Jing Li

%A Hong-yuan Yue

%J Journal of Zhejiang University SCIENCE A

%V 15

%N 3

%P 208-218

%@ 1673-565X

%D 2014

%I Zhejiang University Press & Springer

%DOI 10.1631/jzus.A1300244

TY - JOUR

T1 - A study on the contraction joint element and damage constitutive model for concrete arch dams

A1 - Qiang Xu

A1 - Jian-yun Chen

A1 - Jing Li

A1 - Hong-yuan Yue

J0 - Journal of Zhejiang University Science A

VL - 15

IS - 3

SP - 208

EP - 218

%@ 1673-565X

Y1 - 2014

PB - Zhejiang University Press & Springer

ER -

DOI - 10.1631/jzus.A1300244

**Abstract: **A new contraction joint element model for the interface in different meshes between the arch dam sections is constructed. The study on the elastic-plastic damage constitutive model for concrete, which is applied to multi-axial stresses, is also taken. The models of the dam-foundation-reservoir system for Xingbiling and Jinping concrete arch dams, China are calculated using the proposed contraction joint elements and the elastic-plastic damage constitutive model to verify the proposed models. Results showed that the proposed contraction joint element model has a high precision in simulating the behavior of contraction joints and the elastic-plastic damage constitutive model has a high precision in simulating the behavior of the damage to the concrete.

**
**

1. Introduction

In this paper, the elastic-plastic damage evolving model for concrete are studied and the contraction joint element model is constructed to describe the behavior of contraction joints in the condition in which the meshes of the interface between dam sections are different. Then numerical examples for the Xingbiling and Jinping arch dams are performed.

2. Modeling of the contraction joint element for the interface in different meshes between the arch dam sections

Thus, the virtual strain energy π of the interface between the interface of the finite elements of dam sections and interface elements can be expressed as

Based on the virtual work principle and using the variational method for Eq. (

The stiffness matrix of the interface between the finite elements of dam sections and the interface elements is

As shown in Figs.

Fig.

The stiffness matrix

Substituting Eq. (

In the same way, the tangential contact characteristic is also simulated by the Coulomb friction model.

3. Elastic-plastic damage evolving model for concrete

Fig.

The non-associated flow law is

4. Numerical examples and results

Figs.

Tensile strength (MPa) | Inelastic strain (×10^{−3}) |
Tensile damage factor |

2.480 | 0.000 | 0.000 |

0.858 | 0.175 | 0.359 |

0.545 | 0.324 | 0.620 |

0.415 | 0.469 | 0.756 |

0.294 | 0.757 | 0.876 |

0.234 | 1.044 | 0.924 |

0.198 | 1.330 | 0.949 |

0.169 | 1.664 | 0.964 |

Fig.

Fig.

Fig.

Fig.

5. Conclusions

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

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