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
(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)
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.
LIU K S, TSAI S W. A progressive quadratic failure criterion for a laminate [J]. Composites Science and Technology, 1998, 58(7): 1023-1032.
[2]
GOSSE J H, CHRISTENSEN S. Strain invariant failure criteria for polymers in composite materials[C]//42nd AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics, and Materials Conference and Exhibit. Seattle: AIAA, 2001: 1-11.
[3]
LI R, KELLY D, MIKULIK Z. A SIFT approach for analysing failure by delamination and disbonding in composite structures [C]//5th Australasian Congress on Applied Mechanics. Brisbane: ACAM, 2007: 1-6.
[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.
[6]
TAY T E, LIU G, YUDHANTO A, et al. A micromacro approach to modelling progressive damage in composite structures [J]. International Journal of Damage Mechanics, 2008, 17: 5-28.
[7]
TAY T E, TAN S H N, TAN V B C, et al. Damage progression by the element-failure method (EFM) and strain invariant failure theory (SIFT) [J].Composites Science and Technology, 2005, 65: 935-944.
[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.
[9]
CHAMIS C C, MURTHY P L N, MINNETYAN L. Progressive fracture in composite structures[J].Composite Materials: Fatigue and Fracture, 1997,6: 70-84.
[10]
XIA Z H, ZOU CW, YONG Q L, et al. On selection of repeated unit cell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites [J]. International Journal of Solid and Structure, 2006, 43(2): 266-278.