Numerical probabilistic approach to sensitivity analysis in a fatigue delamination problem of a two layer composite

Applied Mathematics and Computation

Volumn 209, Issue 1, 2009, Pages 75-90

  Figiel, Łukasz ^a   Kamiński, Marcin ^b  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Composite laminates; Fatigue delamination problem; Finite element method; Monte Carlo simulation; Sensitivity analysis

Indexed keywords

DELAMINATION; DIFFERENTIAL EQUATIONS; MONTE CARLO METHODS; SENSITIVITY ANALYSIS; STEEL SHEET;

BOUNDARY VALUES; COMPOSITE DESIGNS; COMPOSITE LAMINATES; CONSTITUENT MATERIALS; CORRELATION COEFFICIENTS; FATIGUE DELAMINATION PROBLEM; FINITE-ELEMENT METHODS; MONTE-CARLO SIMULATION; NON-LINEAR; NUMERICAL EXAMPLES; PROBABILISTIC APPROACHES; PROBABILISTIC SENSITIVITIES; SAMPLING POINTS; STANDARD DEVIATIONS; TWO LAYERS;

FINITE ELEMENT METHOD;

EID: 60249103686     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.06.039     Document Type: Article

References (16)

1. Haug H.J., Choi K.K., and Komkov V. Design Sensitivity Analysis of Structural Systems (1986), Academic Press
2. Arora J.S. Introduction to Optimum Design. second ed. (2004), Academic Press
3. Laporte E., and Le Tallec P. Numerical Methods in Sensitivity Analysis and Shape Optimisation (2003), Birkhäuser Boston
4. Griewank A. Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. Frontiers in Applied Mathematics vol. 19 (2000), SIAM
5. Kleiber M., Antunez H., Hien T.D., and Kowalczyk P. Parameter Sensitivity in Non-linear Mechanics: Theory and Finite Element Computations (1997), John Wiley and Sons
6. ANSYS User's Manual, ANSYS 7.1, Inc., Southpointe, Canonsburg, USA, 2003.
7. L. Figiel, Sensitivity analysis of interface fatigue crack propagation in elastic composite laminates, PhD Thesis, Technical University of Dresden, 2004.
8. Hammersley J.M., and Handscomb D.C. Monte-Carlo Methods (1964), John Wiley and Sons
9. Liu P.-L., and Der Kiureghian A. Multivariate distribution models with prescribed marginals and covariances. Probabilistic Engineering Mechanics 1 2 (1986) 105-112
10. Sheskin D.J. Handbook of Parametric and Non-parametric Statistical Procedures (1997), CRC Press
11. In: Abramowitz T., and Stegun I.A. (Eds). Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (1972), Dover
12. Frank P.M. Introduction to System Sensitivity Theory (1978), Academic Press
13. Wolfram S. The Mathematica Book. fourth ed. (1999), Wolfram Media/Cambridge University Press
14. Kwon J.D., Ahn J.J., and Kim S.T. The fatigue life prediction of SiC whisker reinforced Al6061 alloy composite by Monte-Carlo simulation. Journal of Composite Materials 32 (1998) 910-928
15. Hurtado J.E., and Barbat A.H. Monte-Carlo techniques in computational stochastic mechanics. Archives of Computational Methods in Engineering 5 (1998) 3-30
16. Cortie M.B., and Garrett G.G. On the correlation between the C and m in the Paris equation for fatigue crack propagation. Engineering Fracture Mechanics 30 (1988) 49-58