Calculation of Strain Amplification Matrix for Strain Invariant Failure Theory Based on Representative Volume Element Models with Periodical Boundary Condition

doi:10.1007/s12204-017-1871-z

上海交通大学学报（英文版） ›› 2017, Vol. 22 ›› Issue (5): 523-529.doi: 10.1007/s12204-017-1871-z

Calculation of Strain Amplification Matrix for Strain Invariant Failure Theory Based on Representative Volume Element Models with Periodical Boundary Condition

ZHAO Jian¹* (赵剑), WANG Hai¹ (汪海), LÜ Xinying¹ (吕新颖), XIE Zonghong² (谢宗蕻)

(1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China; 2. School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China)

出版日期:2017-09-30 发布日期:2017-09-30
通讯作者: ZHAO Jian(赵剑) E-mail: zhaojian_email@163.com

Calculation of Strain Amplification Matrix for Strain Invariant Failure Theory Based on Representative Volume Element Models with Periodical Boundary Condition

ZHAO Jian¹* (赵剑), WANG Hai¹ (汪海), LÜ Xinying¹ (吕新颖), XIE Zonghong² (谢宗蕻)

(1. School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China; 2. School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China)

Online:2017-09-30 Published:2017-09-30
Contact: ZHAO Jian(赵剑) E-mail: zhaojian_email@163.com

摘要/Abstract

摘要： Strain invariant failure theory (SIFT) is a micro-mechanics-based failure theory for multi-scale failure analysis of composite materials originally proposed by Gosse and Christensen. In this paper, the approach for obtaining strain amplification matrix which is a key step for the execution of SIFT is improved by adopting representative volume element (RVE) finite element models considering periodical boundary condition, based on which more actual deformation mode is reflected. The deformation modes and strain data at the characteristic points of the centroid cell of multi-cell RVE model are analyzed and taken as a reference. It can be concluded that more reasonable deformation mode and relationship between the micro-mechanical and macro-mechanical strain states are obtained by employing the new model. Finally, numerical examples are provided to illustrate the determination of strain amplification factors within the RVEs considering periodical boundary condition at the characteristic points.

关键词: micro-mechanical modeling, periodical boundary condition, representative volume element (RVE), strain invariant failure theory (SIFT)

Abstract: Strain invariant failure theory (SIFT) is a micro-mechanics-based failure theory for multi-scale failure analysis of composite materials originally proposed by Gosse and Christensen. In this paper, the approach for obtaining strain amplification matrix which is a key step for the execution of SIFT is improved by adopting representative volume element (RVE) finite element models considering periodical boundary condition, based on which more actual deformation mode is reflected. The deformation modes and strain data at the characteristic points of the centroid cell of multi-cell RVE model are analyzed and taken as a reference. It can be concluded that more reasonable deformation mode and relationship between the micro-mechanical and macro-mechanical strain states are obtained by employing the new model. Finally, numerical examples are provided to illustrate the determination of strain amplification factors within the RVEs considering periodical boundary condition at the characteristic points.

Key words: micro-mechanical modeling, periodical boundary condition, representative volume element (RVE), strain invariant failure theory (SIFT)

中图分类号:

TB 332

ZHAO Jian1* (赵剑), WANG Hai1 (汪海), LU Xinying1 (吕新颖), XIE Zonghong2 (谢宗蕻). Calculation of Strain Amplification Matrix for Strain Invariant Failure Theory Based on Representative Volume Element Models with Periodical Boundary Condition[J]. 上海交通大学学报（英文版）, 2017, 22(5): 523-529.

ZHAO Jian1* (赵剑), WANG Hai1 (汪海), LU Xinying1 (吕新颖), XIE Zonghong2 (谢宗蕻). Calculation of Strain Amplification Matrix for Strain Invariant Failure Theory Based on Representative Volume Element Models with Periodical Boundary Condition[J]. Journal of shanghai Jiaotong University (Science), 2017, 22(5): 523-529.

参考文献 10

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[4]	YUDHANTO A. Effects of micromechanical factors in the strain invariant failure theory for composites[D]. Singapore: Department of Mechanical Engineering,National University of Singapore, 2005.
[5]	BUCHANAN D L, GOSSE J H, WOLLSCHAGER J A, et al. Micromechanical enhancement of the macroscopic strain state for advance composite materials [J].Composites Science and Technology, 2009, 69: 1974-1978.
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[8]	PIPES R B, GOSSE J H. An onset theory for irreversible deformation in composite materials [C]//17th International Conference on Composite Materials.Edinburgh: ICCM, 2009: 1-10.
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Calculation of Strain Amplification Matrix for Strain Invariant Failure Theory Based on Representative Volume Element Models with Periodical Boundary Condition

Calculation of Strain Amplification Matrix for Strain Invariant Failure Theory Based on Representative Volume Element Models with Periodical Boundary Condition

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