Stochastic structural interface defects in fiber composites

International Journal of Solids and Structures

Volumn 33, Issue 20-22, 1996, Pages 3035-3056

  Kamiński, Marcin ^b   Kleiber, Michal ^a  

^a INSTITUTE OF FUNDAMENTAL TECHNOLOGICAL RESEARCH   (Poland)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; INTERFACES (MATERIALS); MATHEMATICAL MODELS; PROBABILITY; RANDOM PROCESSES; STRUCTURAL ANALYSIS;

DEFECT HOMOGENIZATION; DISPLACEMENT RANDOM FIELDS; FIBER MATRIX BOUNDARY; STOCHASTIC FINITE ELEMENT METHOD (SFEM); STOCHASTIC STRUCTURAL INTERFACE DEFECTS;

FIBER REINFORCED MATERIALS;

EID: 0030216656     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-7683(95)00264-2     Document Type: Article

References (61)

1. Aboudi, J. (1991). Mechanics of Composite Materials - a Unified Micromechanical Approach. Elsevier, Amsterdam.
2. Achenbach, J. D. and Choi, H. S. (1991). Matrix cracking and interphase failure in fiber composites. In Local Mechanics Concepts for Composite Material Systems (Edited by J. N. Reddy and K. L. Reifsnider), pp. 149-163. IUTAM Symposium Blacksburgh, Springer, Berlin.
3. Adams, D. F. (1970). Inelastic analysis of a unidirectional composite subjected to transverse normal loading. J. Compos. Mater. 4, 310-328.
4. Arminjon, M. (1991). Limit distributions of the states and homogenization in random media. Acta Mech. 88, 27-59.
5. Ashton, J. E., Halpin, J. C. and Petit, P. H. (1969). Primer on Composite Materials: Analysis. Connecticut.
6. Avellaneda, M. (1987). Optimal bounds and microgeometries for elastic two-phase composites. SIAM J. Appl. Math. 47, 1216-1228.
7. Bahei-El-Din, Y. A., Dvorak, G. J. and Utku, S. (1981). Finite element analysis elasto-plastic fibrous composite structures. Comput. Struct. 13, 321-330.
8. Barry, P. W. (1978). The longitudinal tensile strength of unidirectional fibrous composites. J. Mater. Sci. 13, 2177-2187.
9. Batdorf, S. B. (1978). Fundamentals of the statistical theory of fracture. In Fracture Mechanics of Ceramics (Edited by R. C. Bradt, D. P. H. Hasselman and F. M. Lange), pp. 1-30. Plenum, New York.
10. Batdorf, S. B. and Ghaffarian, R. (1984). Size effect and strength variability of unidirectional composites. Int. J. Fracture 26, 113-123.
11. Bathe, K. J., Wilson, E. L. and Peterson, F. E. (1973). SAP IV - A Structural Analysis Program for Static and Dynamic Response of Linear Systems. Technical Report. College of Engineering, University of California.
12. Bensoussan, A., Lions, J. L. and Papanicolau, G. (1978). Asymptotic Analysis for Periodic Structures. North-Holland, Amsterdam.
13. Benveniste, Y. (1985). The effective mechanical behavior of composite materials with imperfect contact between the constituents. Mech. Mater. 4, 197-208.
14. Benveniste, Y., Chen, T. and Dvorak, G. J. (1990). The effective thermal conductivity of composites reinforced by coated cylindrically orthotropic fibers. J. Appl. Phys. 67, 2878-2884.
15. Beran, M. J. (1968). Statistical continuum theories. In Monographs in Statistical Physics and Thermodynamics. Wiley, New York.
16. Budiansky, B. (1965). On the elastic moduli of some heterogeneous materials. J. Mech. Phys. Sol. 13, 223-227.
17. Caruso, J. J. and Chamis, C. C. (1986). Assessment of simplified composite micromechanics using three-dimensional finite element analysis. J. Compos. Tech. Res. 8, 77-83.
18. Chang, S., Chao, S. J. and Chang, Y. (1995). Estimates of elastic moduli for granular material with anisotropic random packing structure. Int. J. Solids Struct. 32, 1989-2008.
19. Chen, H. S. and Acrivos, A. (1978). The effective elastic moduli of composite materials containing spherical inclusions at non-dilute concentrations. Int. J. Solids Struct. 14, 349-364.
20. Choi, H. S. and Achenbach, J. D. (1995). Stress states at neighboring fibers induced by single-fiber interphase defects. Int. J. Solids Struct. 32, 1555-1570.
21. Christensen, R. M. (1979). Mechanics Composite Materials. Wiley-Interscience, New York.
22. Dems, K. and Haftka, R. T. (1988-89). Two approaches to sensitivity analysis for shape variation of structures. Mech. Struct. Mach. 16, 501-522.
23. Dems, K. and Mróz, Z. (1987). Variational approach to sensitivity analysis in thermoelasticity. J. Therm. Struct. 10, 283-306.
24. Drucker, D. C. (1975). Yielding, flow and fracture. In Inelastic Behaviour of Composite Materials (Edited by C. T. Herakovich), pp. 1-15. ASME, New York.
25. Dvorak, G. J. and Rao, M. S. M. (1976). Axisymmetric plasticity theory of fibrous composites. Int. J. Engng Sci. 14, 361-373.
26. Fisher, R. A. (1971). The Design of Experiments. Hafner Press, New York.
27. Gajl, O. (1990). Effective properties of cracked composites. Proc. Int. Polish-German Symposium, Bad-Honnef.
28. Hashin, Z. (1965). On elastic behaviour of fiber reinforced materials of arbitrary transverse phase geometry. J. Mech. Phys. Solid. 13, 119-134.
29. Hashin, Z. (1972). Theory of Fiber Reinforced Materials. NASA, Hampton, VA.
30. Hashin, Z. (1990). Thermoelastic properties of fiber composites with imperfect interface. Mech. Mater. 8, 333-348.
31. Hashin, Z. and Shtrikman, S. (1963). A variational approach to the theory of elastic behaviour of multiphase materials. J. Mech. Phys. Solids 11, 127-140.
32. Haug, E. J., Choi, K. K. and Komkov, V. (1986). Design Sensitivity Analysis of Structural Systems. Academic Press, New York.
33. Hien, T. D. (1990). Deterministic and Stochastic Sensitivity in Computational Structural Mechanics. Habilitation Thesis, IFTR PAS 46(90), Warsaw.
34. Hill, R. (1964). Theory of mechanical properties of fiber-strengthened materials I. Elastic behaviour. J. Mech. Phys. Solids 12, 199-212.
35. Jasiuk, I., Chen, J. and Thorpe, M. F. (1992). Elastic moduli of composites with rigid sliding inclusions. J. Mech. Phys. Solids 40, 373-391.
36. Kamiński, M. (1996). Homogenization in elastic heterogeneous random media. Comput. Ass. Mech. Engng Sci., in press.
37. Kamiński, M. (1995). Stochastic contact effects in periodic fiber composites. J. Theor. Appl. Mech. 33, 415-441.
38. Kamiński, M. and Gajl, O. (1995). Numerical modelling of fiber composites with random-elastic components. Comput. Ass. Mech. Engng Sci. 2, 41-50.
39. Kelly, A. (1989). Concise Encyclopedia of Composite Materials. Pergamon Press, Oxford.
40. Kleiber, M. and Hien, T. D. (1992). The Stochastic Finite Element Method. Basic Perturbation Technique and Computer Implementation. Wiley, New York.
41. Lené, F. (1984). Contribution a l'etude des materiaux composites et de leur endommagement. These du Doctorat d'Etat, Universite Paris VI, Paris.
42. Liu, W. K., Belytschko, T. and Mani, A. (1986). Random field finite elements. Int. J. Numer. Meth. Engng 23, 1831-1845.
43. Milton, G. W. and Kohn, R. V. (1988). Variational bounds on the effective moduli for anisotropic composites. J. Mech. Phys. Solids 36, 597-630.
44. Mital, S. K., Murthy, P. L. N. and Chamis, C. C. (1993). Interfacial microstructure in high temperature metal matrix composites. Int. J. Compos. Mater. 27, 1678-1694.
45. Moavenzadeh, F. (1990). Concise Encyclopedia of Building & Construction Materials. Pergamon Press, Oxford.
46. Mori, T. and Tanaka, K. (1973). Average stress in matrix and average elastic energy of materials with misfitting inclusions. Acta Metall. 21, 571-574.
47. Murthy, P. L. N. and Chamis, C. C. (1992). Towards the development of micromechanics equations for ceramic matrix composites via fiber substructuring. NASA TM-105246.
48. Noor, A. K. and Shah, R. S. (1993). Effective thermoelastic and thermal properties of unidirectional fiber-reinforced composites and their sensitivity coefficients. Comput. Struct. 26, 7-23.
49. Ostoja-Starzewski, M. and Wang, C. (1989). Linear elasticity of planar Delaunay networks: random field characterization of effective moduli. Acta Mech. 80, 61-80.
50. Phoenix, S. L. and Smith, R. L. (1983). A comparison of probabilistic techniques for the strength of fibrous materials under local load sharing. Int. J. Solids Struct. 19, 479-496.
51. Phoenix, S. L. and Tierney, L. J. (1983). A statistical model for the time dependent failure of unidirectional composite materials under local elastic load sharing among fibers. Engng Fracture Mech. 18, 193-215.
52. Sab, K. (1992). On the homogenization and the simulation of random materials. Eur. J. Mech. Solids 11, 585-607.
53. Sendeckyj, G. P. (1974). Composite Materials, Vol. 2, Mechanics of Composite Materials. Academic Press, New York.
54. Sobczyk, K. (1982). Stochastic Wave Propagation. PSB, Warsaw.
55. Suquet, P. (1982). Plasticite et homogeneisation. These de Doctorat d'Etat, Universite Paris VI, Paris.
56. Telega, J. J. (1988). Variational inequalities in mechanical contact problems. In Contact Surface Mechanics (Edited by Z. Mróz), pp. 56-165. IFTR PAS.
57. Tsai, S. W. and Wu, E. M. (1971). A general theory of strength for anisotropic materials. Int. J. Compos. Mater. 5, 58-80.
58. Wriggers, P. and Zavarise, G. (1993). Application of augmented lagrangian techniques for nonlinear constitutive laws in contact interfaces. Commun. Numer. Meth. Engng 9, 815-824.
59. Zavarise, G., Wriggers, P., Stein, E. and Schrefler, B. A. (1992a). A numerical model for thermomechanical contact based on microscopic interface laws, Mech. Res. Comm. 19, 173-182.
60. Zavarise, G., Wriggers, P., Stein, E. and Schrefler, B. A. (1992b). Real contact mechanisms and finite element formulation - a coupled thermomechanical approach. Int. J. Num. Meth. Engng 35, 767-785.
61. Zweben, C. and Rosen, B. W. (1970). A statistical theory of material strength with application to composite materials. J. Mech. Phys. Solids 18, 189-206.