Maximum entropy method for probabilistic bearing strength prediction of pin joints in composite laminates

Composite Structures

Volumn 106, Issue , 2013, Pages 626-634

  Li, Hong Shuang ^a  

^a NANJING UNIVERSITY OF AERONAUTICS AND ASTRONAUTICS   (China)

Author keywords

Composite laminates; Maximum entropy method; Pin joint; Probabilistic bearing strength

Indexed keywords

BEARING STRENGTHS; COMPOSITE LAMINATE; COMPUTATIONAL FRAMEWORK; LARGE DEFORMATION THEORIES; PIN JOINTS; POINT ESTIMATE METHOD; PROGRESSIVE FAILURE ANALYSIS; PROPERTIES OF COMPOSITES;

FORECASTING; LOADING; MAXIMUM ENTROPY METHODS; MECHANICAL PROPERTIES; PROBABILITY DISTRIBUTIONS;

LAMINATED COMPOSITES;

EID: 84883342075     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2013.05.040     Document Type: Article

References (34)

1. Camanho P.P., Matthews F.L. Stress analysis and strength prediction of mechanically fastened joints in FRP: a review. Compos A Appl Sci Manuf 1997, 28(6):529-547.
2. Thoppul S.D., Finegan J., Gibson R.F. Mechanics of mechanically fastened joints in polymer-matrix composite structures - a review. Compos Sci Technol 2009, 69(3-4):301-329.
3. Chang F.K., Chang K.Y. A progressive damage model for laminated composites containing stress concentrations. J Compos Mater 1987, 21(9):834-855.
4. Dano M.L., Gendron G., Picard A. Stress and failure analysis of mechanically fastened joints in composite laminates. Compos Struct 2000, 50(3):287-296.
5. Dano M.L., Kamal E., Gendron G. Analysis of bolted joints in composite laminates: strains and bearing stiffness predictions. Compos Struct 2007, 79(4):562-570.
6. Tan S.C. A progressive failure model for composite laminates containing openings. J Compos Mater 1991, 25(5):556-577.
7. Tan S.C., Perez J. Progressive failure of laminated composites with a hole under compressive loading. J Reinf Plast Compos 1993, 12(10):1043-1057.
8. Tserpes K.I., Labeas G., Papanikos P., Kermanidis T. Strength prediction of bolted joints in graphite/epoxy composite laminates. Compos B Eng 2002, 33(7):521-529.
9. Tserpes K.I., Papanikos P., Kermanidis T.H. A three-dimensional progressive damage model for bolted joints in composite laminates subjected to tensile loading. Fatigue Fract Eng Mater Struct 2001, 24(10):663-675.
10. ABAQUS/Standard. User's manual. 6.4 ed. Hibbit, Karlsson and Sorensen Inc.: Rhode Island, USA; 2003.
11. Abrão A.M., Faria P.E., Rubio J.C.C., Reis P., Davim J.P. Drilling of fiber reinforced plastics: a review. J Mater Process Technol 2007, 186(1-3):1-7.
12. Lachaud F., Piquet R., Collombet F., Surcin L. Drilling of composite structures. Compos Struct 2001, 52(3-4):511-516.
13. Persson E., Eriksson I., Zackrisson L. Effects of hole machining defects on strength and fatigue life of composite laminates. Compos A Appl Sci Manuf 1997, 28(2):141-151.
14. Li H., Lu Z., Zhang Y. Probabilistic strength analysis of bolted joints in laminated composites using point estimate method. Compos Struct 2009, 88(2):202-211.
15. Nakayama M., Uda N., Ono K. Probabilistic assessment of pin joint strength in CFRP laminates. Compos Struct 2011, 93(8):2026-2030.
16. Li H.S., Lü Z.Z., Yuan X.K. Nataf transformation based point estimate method. Chin Sci Bull 2008, 53(17):2586-2592.
17. Zhao Y.G., Ono T. New point estimates for probability moments. J Eng Mech-ASCE 2000, 126(4):433-436.
18. Zhao Y.G., Ono T. Moment methods for structural reliability. Struct Saf 2001, 23(1):47-75.
19. Jaynes E.T. Information theory and statistical mechanics. Phys Rev 1957, 106(4):620-630.
20. Jaynes E.T. Probability theory: the logic of science 2003, Cambridge Univeristy Press.
21. Hurtado J.E., Barbat A.H. Fourier-based maximum entropy method in stochastic dynamics. Struct Saf 1998, 20(3):221-235.
22. Sobczyk K., Trcebicki J. Approximate probability distributions for stochastic systems: maximum entropy method. Comput Methods Appl Mech Eng 1999, 168(1-4):91-111.
23. Treogonekbicki J., Sobczyk K. Maximum entropy principle and non-stationary distributions of stochastic systems. Probab Eng Mech 1996, 11(3):169-178.
24. Pandey M.D., Ariaratnam S.T. Crossing rate analysis of nongaussian response of linear systems. J Eng Mech 1996, 122(6):507-511.
25. Ching J., Hsieh Y.-H. Local estimation of failure probability function and its confidence interval with maximum entropy principle. Probab Eng Mech 2007, 22(1):39-49.
26. Hashin Z. Failure criteria for unidirectional fiber composites. J Appl Mech 1980, 47(2):329-334.
27. Rahman S., Xu H. A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics. Probab Eng Mech 2004, 19(4):393-408.
28. Xu H., Rahman S. A generalized dimension-reduction method for multi-dimensional integration in stochastic mechanics. Int J Numer Meth Eng 2004, 61(12):1992-2019.
29. Rahman S. A polynomial dimensional decomposition for stochastic computing. Int J Numer Meth Eng 2008, 76(13):2091-2116.
30. Rahman S. Extended polynomial dimensional decomposition for arbitrary probability distributions. J Eng Mech-ASCE 2009, 135(12):1439-1451.
31. Shore J., Johnson R. Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy. IEEE Trans Inf Theory 1980, 26(1):26-37.
32. Park S.Y., Bera A.K. Maximum entropy autoregressive conditional heteroskedasticity model. J Econ 2009, 150(2):219-230.
33. Agmon N., Alhassid Y., Levine R.D. An algorithm for finding the distribution of maximal entropy. J Comput Phys 1979, 30(2):250-258.
34. Rockinger M., Jondeau E. Entropy densities with an application to autoregressive conditional skewness and kurtosis. J Econ 2002, 106(1):119-142.