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

Journal of shanghai Jiaotong University (Science) ›› 2017, Vol. 22 ›› Issue (5): 523-529.doi: 10.1007/s12204-017-1871-z

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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)
(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

Abstract

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)

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)

CLC Number:

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]. Journal of shanghai Jiaotong University (Science), 2017, 22(5): 523-529.

References 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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