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2008 | Vol. 56, iss. 1 | 65-87
Tytuł artykułu

Sensitwity analysis in a fatigue delamination problem of an elastic two-layer composite

Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Several parameters can affect the fatigue delamination growth in laminates - these in-clude e.g. constituent material properties and/or composite shape. Knowledge about effects of these parameters can lead to a better understanding of the fatigue delamination behaviour and can also pinpoint directions for optimum composite design. These effects can be elucidated by carrying out an appropriate sensithdty analysis. A FEM-based computational approach to sensitivity analysis is proposed in this work to study composite parameter effects in a fatigue delamination problem of an elastic two-layer composite. It is used to calculate and analyse sen-sitivity gradients of the fracture parameter and fatigue cycle number with respect to composite design parameters such as layer elastic constants. It is observed that sensitivities computed from this approach are generally numerically stable. Obtained sensitivities pinpoint ąuantita-tively the most and least important composite parameters that govern a fatigue delamination process. Sensitivity results are verified by another computational approach and a very good agreement is found.
Wydawca

Rocznik
Strony
65-87
Opis fizyczny
Bibliogr. 27 poz., rys., tab., wykr.
Twórcy
autor
autor
  • Department of Engineering Science, University of Oxford, Parks Road 0X1 3PJ, Oxford, United Kingdom
Bibliografia
  • 1. B. HARRIS [Ed.], Fatigue in Composites, CRC Press/Woodhead Publishing, 2003.
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  • 3. V. V. BOLOTIN, Mechanics of Fatigue, CRC Press, 1999.
  • 4. Ł. FIGIEL, M. KAMIŃSKI, Mechanical and thermal fatigue delamination in curved layered composites, Comput. Struct., 81, 1865-1873, 2003.
  • 5. Ł. FIGIEL, N. E. ZAFEIROPOULOS, B. LAUKE, Numerical analysis of the elastic constants' effects on the delamination propagation in a curved layered composite beam under cyclic shear loading, Compos. Part A Appl-S, A36, 153-162, 2005.
  • 6. H. J. HAUG, K. K. CHOI, V. KOMKOV, Design Sensitivity Analysis of Structural Systems, Academic Press, 1986.
  • 7. S. KIBSGAARD, Sensitivity analysis - the basis for optimisation, Int. J. Numer Meth. Eng., 34, 901-932, 1992.
  • 8. M. KLEIBER, H. ANTUNEZ, T. D. HIEN, P. KOWALCZYK, Parameter Sensitivity in Non-linear Mechanics: Theory and Finite Element Computations, John Wiley & Sons, 1997.
  • 9. M. KAMIŃSKI, Computational mechanics of composite materials. Sensitivity, randomness and multiscale behaviour, Springer Verlag, 2005.
  • 10. J. FISH, A. GHOUALLI, Multiscale analytical sensitivity analysis for composite materials, Int. J. Numer. Meth. Eng., 50, 1501-1520, 2001.
  • 11. Ł. FIGIEL, M. KAMIŃSKI, Fatigue sensitivity analysis for the curved composite beam, pp. 477-484, [in:] Brittle Matrix Composites 7, A. M. BRANDT, V. Li, I. C. MARSHALL [Eds.], Woodhead Publishing,2003.
  • 12. M. E. M. EL-SAYED, E. H. LUND, Structural optimization with fatigue life constraints, Eng. Fract. Mech., 37, 1149-1156, 1990.
  • 13. M. KAMIŃSKI, On probabilistic fatigue models for composite materials, Int. J. Fatigue, 24, 477-495, 2002.
  • 14. J. S. ARO RA, Introduction to Optimum Design, 2-nd Edition, Academic Press, 2004.
  • 15. E. LAPORTE, P. LE TALLEC, Numerical Methods in Sensitivity Analysis and Shape Op-timisation, Birkhauser, Boston 2003.
  • 16. A. GRIEWANK, Evaluating Derivatives: Principles and Techniques of Algorithmic Differ-entiation, Frontiers in Applied Mathematics 19, SI AM, 2000.
  • 17. E. LUND, FEM-based Design Sensitvity and Optimisation, PhD thesis, Aalborg Univer-sity, Denmark, 1994.
  • 18. T. BURCZYŃSKI, Applications of BEM in sensitivity analysis and optimisation, Comput. Mech., 13, 29-44, 1993.
  • 19. K. DEMS, Z. MRÓZ, Sensitivity analysis methods [in Polish], pp. 647-721, [in:] Handbook of Computational Solid Mechanics, M. KLEIBER [Ed.], PWN, 1995.
  • 20. Ł. FIGIEL, Sensitivity analysis of interface fatigue crack propagation in elastic composite laminates, PhD Thesis, Technical University of Dresden, SLUB Dresden, 2004.
  • 21. J. W. HUTCHINSON, Z. Suo, Mixed Mode Cracking in Layered Materials, Adv. Appl. Mech., 29, 63-191, 1992.
  • 22. W. QIAN, C. T. SUN, A frictional interfacial crack under combined shear and compres-sion, Composites Sci Technol., 58, 1753-1761, 1998.
  • 23. P. M. FRANK, Introduction to System Sensitivity Theory, Academic Press, 1978.
  • 24. Ł. FIGIEL, M. KAMIŃSKI, Deterministic and probabilistic sensitivity analysis of fatigue fracture for a curved two-layer composite, Lecture Series on Computer and Computational Sciences, 4, 1062-1064, Brill Academic Publishers, Leiden 2005.
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  • 26. Ł. FIGIEL, M. KAMIŃSKI, B. LAUKE, Analysis of a compressive shear fracture test for curved interfaces in layered composites, Eng. Fract. Mech., 71, 967-980, 2004.
  • 27. I. S. RAJU, Calculation of strain-energy release rates with higher order and singular finite elements, Engineering Fracture Mechanics, 28, 3, 251-274, 1987.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0033-0004
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