Determination of sensitivity coefficients of the elastic effective properties for periodic fiber-reinforced composites using the response function method

Computational Materials Science

Volumn 43, Issue 4, 2008, Pages 829-841

  Kamiński, Marcin ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

Finite element method; Homogenization technique; Periodic composites; Response function method; Sensitivity analysis; Symbolic computing

Indexed keywords

CARBON FIBER REINFORCED PLASTICS; COMPUTATIONAL METHODS; ELASTICITY; FIBER OPTICS; FINITE ELEMENT METHOD; HOMOGENIZATION METHOD; NUMERICAL ANALYSIS; NUMERICAL METHODS; SENSITIVITY ANALYSIS; TENSORS;

ANALYTICAL APPROACHES; CENTRAL FINITE DIFFERENCE; COMPOSITE COMPONENTS; COMPUTATIONAL ANALYSES; COMPUTATIONAL METHODOLOGIES; COMPUTATIONAL TECHNIQUES; EF FECTIVE MODULUS; EFFECTIVE PROPERTIES; ELASTIC CHARACTERISTICS; ELASTICITY TENSORS; FIBER-REINFORCED COMPOSITES; FINITE DIFFERENCE; FINITE ELEMENTS; HOMOGENIZATION PROCEDURE; HOMOGENIZATION TECHNIQUE; HOMOGENIZATION THEORY; MESH-LESS METHODS; NUMERICAL RESPONSE; PARTIAL DERIVATIVES; PERIODIC COMPOSITES; PLANE STRAINS; RESPONSE FUNCTION METHOD; RESPONSE FUNCTIONS; SENSITIVITY COEFFICIENTS; SENSITIVITY GRADIENTS; SYMBOLIC COM-PUTATION; SYMBOLIC COMPUTING; TWO-COMPONENT;

FINITE DIFFERENCE METHOD;

EID: 52949112598     PISSN: 09270256     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.commatsci.2008.01.067     Document Type: Article

References (38)

1. Bathe K.J. Finite Element Procedures (1996), Prentice-Hall
2. Bensoussan A., Lions J.L., and Papanicolaou G. Asymptotic Analysis for Periodic Structures (1978), North-Holland, Amsterdam
3. Bhangale R.K., and Ganesan N. Int. J. Sol. Struct. 43 (2006) 3230-3253
4. Castaneda P.P., and Suquet P.M. In: Van Der Giessen E., and Wu T.Y. (Eds). Advances in Applied Mechanics vol. 34 (1998), Academic Press
5. Chellappa S., Diaz A.R., and Bendsoe M. Struct. Mult. Optimiz. 26 (2004) 77-91
6. Christensen R.M. Mechanics of Composite Materials (1979), Wiley
7. Clayton J.D., and Chung P.W. J. Mech. Phys. Solid 54 (2006) 1604-1639
8. Cornil J.M., and Testud P. An Introduction to Maple V (2001), Springer-Verlag, Berlin
9. Fish J., and Ghouali A. Int. J. Numer. Meth. Eng. 50 (2001) 1501-1520
10. Florence C., and Sab K. Eur. J. Mech. A/Sol. 25 (2006) 72-97
11. Friebel C., Doghri I., and Legat V. Int. J. Sol. Struct. 43 (2006) 2513-2541
12. Gitman I.M., Gitman M.B., and Askes H. Arch. Appl. Mech. 75 (2006) 79-92
13. Haftka R.T., and Gürdal Z. Elements of Structural Optimization (1992), Kluwer
14. Idiart M.I., et al. J. Mech. Phys. Sol. 54 (2006) 1029-1063
15. Kamiński M. Computational Mechanics of Composite Materials: Sensitivity, Randomness and Multiscale Behaviour (2005), Springer-Verlag, London, New York
16. Kamiński M. Int. J. Eng. Sci. 44 (2006) 757-777
17. Kamiński M. Int. J. Sol. Struct. 42 (2005) 3590-3751
18. Kanit T. Comput. Meth. Appl. Mech. Eng. 195 (2006) 3960-3982
19. Kleiber M., et al. Parameter Sensitivity in Nonlinear Mechanics (1997), Wiley
20. Lefik M., and Schrefler B.A. Comput. Mech. 14 (1994) 2-15
21. Luciano R., and Willis J.R. Int. J. Fract. 137 (2006) 261-273
22. Lux J., et al. Int. J. Heat Mass Transf. 49 (2006) 1958-1973
23. Ma W., and Hu G. Int. J. Sol. Struct. 43 (2006) 3025-3043
24. Markovic D., and Ibrahimbegovic A. Comput. Meth. Appl. Mech. Eng. 195 (2006) 5077-5093
25. Matache A.M., Babuška I., and Schwab C. Numer. Math. 86 (2000) 319-375
26. Milton G. The Theory of Composites (2002), Cambridge University Press, Cambridge
27. Noor A.K., and Shah R.S. Compos. Struct. 26 (1993) 7-23
28. Rohan E., Cimrman R., and Lukes V. Comput. Struct. 84 (2006) 1095-1114
29. Samaey G., Kevrikidis I.G., and Roose D. J. Comput. Phys. 213 (2006) 264-287
30. Sanchez-Palencia E. Non-homogeneous media and vibration theory. Lecture Notes in Physics vol. 127 (1980), Springer-Verlag
31. Sigmund O. Int. J. Sol. Struct. 31 (1994) 2313-2329
32. Song Y.S., and Youn J.R. Carbon 44 (2006) 710-717
33. Steeves C.A., and Fleck N.A. Int. J. Sol. Struct. 43 (2006) 3197-3212
34. Wang W.X., et al. Comput. Struct. 84 (2006) 991-1001
35. Xiu-Li G., and Melchers R.E. Struct. Safety 23 (2002) 429-444
36. Zhang H., et al. Int. J. Sol. Struct. 42 (2005) 877-899
37. Zhang H.W., et al. Int. J. Num. Meth. Eng. 69 1 (2007) 87-113
38. Zienkiewicz O.C., and Taylor R.L. Finite Element Method for Solid and Structural Mechanics. 16th ed. (2005), Elsevier