A Fuzzy Model for the Failure of Composite Structures

Pan Jing-zhe; Luo Zu-dao

Volume 11 Issue 6

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1990 > 11(6): 499-504

Pan Jing-zhe, Luo Zu-dao. A Fuzzy Model for the Failure of Composite Structures[J]. Applied Mathematics and Mechanics, 1990, 11(6): 499-504.

Citation:

Pan Jing-zhe, Luo Zu-dao. A Fuzzy Model for the Failure of Composite Structures[J]. Applied Mathematics and Mechanics, 1990, 11(6): 499-504.

Citation:

Pan Jing-zhe, Luo Zu-dao. A Fuzzy Model for the Failure of Composite Structures[J]. Applied Mathematics and Mechanics, 1990, 11(6): 499-504.

PDF( 443 KB)

A Fuzzy Model for the Failure of Composite Structures

Pan Jing-zhe¹,
Luo Zu-dao²

1.
Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian;
2.
Department of Engineering Mechanics, Shanghai Jiaotong University, Shanghai

Received Date: 1989-10-30
Publish Date: 1990-06-15

Abstract

Abstract

In this paper, the fuzzy theory is used to describe the uncertainty in failure definition of composite structures. The concept of structural failure level (SFL) is suggested and a method of evaluation is presented.

FullText(HTML)

References(7)

References

[1]	汪培庄,《模糊集合论及其应用》,上海科技出版社(1983).
[2]	Daniel,I.M.,J.W.Lee and G.Yaniv,Damage mechanisms and stiffness degradation in graphite/epoxy composites,The Proceedings of the Sixth International Conference on Composite Materials,Elsevier Applied Science Publishers Ltd.,U.K.,July(1987),4. 129-138.
[3]	Reifsnider,K.L.and W.W.Stinchcomb,Characterization and analysis of damage mechanisms in tension-tension fatigue of graphite/epoxy laminates,Effects of Defects in Composite Materials,ASTM STP 836(1984),21-55.
[4]	DiBenedetto,A.T.,et.al.,Nondestructive determination of fatigue crack damage in composites using vibration tests,Journal of Materials,JMLSA,7,2,June(1972),211-215.
[5]	Reifsnider,K.L.,The critical element model:a modeling philosophy,Engineering Fracture Mechanics,25,516(1986),739-750.
[6]	程耿东、刘扬,关于结构模糊优化若干问题的讨论,计算结构力学及其应用,6, 3 (1989).
[7]	Ang,Alfredo H-S and Wilson H.Tang,Probability Concepts in Engineering Planning and Design,Vol.2(1984).

Relative Articles

[1]	HUANG Zongzheng, MI Dong, OUYANG Zhigao, HE Xiang, HUANG Xing, ZHOU Wei, JIANG Lanlan, GUO Zaoyang, MA Liangying. Application of the Rate-Dependent Ladeveze Model in Failure Analysis of Composites[J]. Applied Mathematics and Mechanics, 2024, 45(7): 864-874. doi: 10.21656/1000-0887.440358
[2]	LIU Junqing, HAN Jing. Reliability Analysis of Asphalt Pavement Structure Based on the Fuzzy Mathematics Theory[J]. Applied Mathematics and Mechanics, 2018, 39(9): 1081-1090. doi: 10.21656/1000-0887.380278
[3]	ZHANG Bi-chao, PENG Xiong-qi, HUANG Xiao-shuang. A Nonorthogonal Constitutive Model for Woven Composites Involving Biaxial Tension Coupling[J]. Applied Mathematics and Mechanics, 2016, 37(3): 227-234. doi: 10.3879/j.issn.1000-0887.2016.03.001
[4]	SONG Lai-zhong, LI Yao-hui. Numerical Simulation of the Geometric Models for Particle-Reinforced Composite Materials[J]. Applied Mathematics and Mechanics, 2015, 36(2): 220-232. doi: 10.3879/j.issn.1000-0887.2015.02.011
[5]	MA Hang, XIA Li-wei, QIN Qing-hua. Computational Model for Short-Fiber Composites With Eigen-Strain Formulation of Boundary Integral Equations[J]. Applied Mathematics and Mechanics, 2008, 29(6): 687-695.
[6]	YANG Xiao, WANG Chen. Nonlinear Mathematical Model for Large Deflection of Incompressible Saturated Poroelastic Beams[J]. Applied Mathematics and Mechanics, 2007, 28(12): 1417-1424.
[7]	CHENG Xiao-quan, LI Zheng-neng. Damage Progressive Model of Compression of Composite Laminates After Low Velocity Impact[J]. Applied Mathematics and Mechanics, 2005, 26(5): 569-576.
[8]	Lü Nian-chun, CHENG Yun-hong, XU Hong-min, CHENG Jin, TANG Li-qiang. Dynamic Crack Models on Problem of Bridging Fiber Pull-Out of Composite Materials[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1093-1100.
[9]	GU Xiao-an, ZENG Jin, SHEN Rong-ying. Mathematical Models Arising From a Survey of Ferromagnetic Materials Under Magnetisation[J]. Applied Mathematics and Mechanics, 2004, 25(9): 974-982.
[10]	GUO Shu-xiang, Lü Zhen-zhou. Procedure for Computing the Possibility and Fuzzy Probability of Failure of Structures[J]. Applied Mathematics and Mechanics, 2003, 24(3): 300-304.
[11]	Guo Ruihai, Yuan Xiaofeng. Hopf Bifurcation for a Ecological Mathematical Model on Microbe Populations[J]. Applied Mathematics and Mechanics, 2000, 21(7): 693-700.
[12]	Cheng Changiun, Yang Xiao. The Mathematical Models and Generalized Variational Principles of Nonlinear Analysis for Perforated Thin Plates[J]. Applied Mathematics and Mechanics, 1996, 17(2): 105-114.
[13]	Zheng Quanshui, Fang Huiyu. Anisotropic Effects of Quasi-Isotropic Composites(Ⅰ)──Modelling[J]. Applied Mathematics and Mechanics, 1996, 17(10): 869-876.
[14]	Nie Yufeng, Nie Tiejun, Feng Jianhu. Mathematical Model of a Junction between Linear Elastomer and Thin Plate[J]. Applied Mathematics and Mechanics, 1996, 17(3): 259-264.
[15]	Wu Wei-xiong. Finite Element Analysis for the Unsteady Nearshore Circulation Due to Wave-Current Interaction(Ⅰ)──Nnmerical Model[J]. Applied Mathematics and Mechanics, 1994, 15(8): 713-718.
[16]	Jin Jun. On the Stability of the Solution to a Gonorrhea Discrete Mathematical Model[J]. Applied Mathematics and Mechanics, 1994, 15(6): 513-518.
[17]	Huang Jing-chuan. The Mathematical Model of Bubble Group Noise[J]. Applied Mathematics and Mechanics, 1993, 14(6): 525-528.
[18]	Yeh Kai-yuan, Deng Liang-bo. Analysis of Composite Laminated Plates[J]. Applied Mathematics and Mechanics, 1988, 9(4): 287-295.
[19]	Ye Bi-quan, Zhou Huan-wen. Numerical Analysis of Edge Effect in Laminated Composite Structures[J]. Applied Mathematics and Mechanics, 1988, 9(5): 403-410.
[20]	Ouyang Chang, Lu Mei-zi. On a Micromechanical Model for Cracked Reinforced Composites[J]. Applied Mathematics and Mechanics, 1981, 2(3): 273-280.