Multi-level elastoplastic damage mechanics for elliptical fiber-reinforced composites with evolutionary fiber debonding

International Journal of Damage Mechanics

Volumn 18, Issue 5, 2009, Pages 419-460

  Ju, J W ^a   Ko, Y F ^a   Zhang, X D ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Damage mechanics; Fiber reinforced composites; Interfacial fiber debonding; Multi level homogenization; Plasticity; Probabilistic micromechanics; Random microstructure

Indexed keywords

DAMAGE MECHANICS; FIBER-REINFORCED COMPOSITES; INTERFACIAL FIBER DEBONDING; MULTI-LEVEL HOMOGENIZATION; PROBABILISTIC MICROMECHANICS; RANDOM MICROSTRUCTURE;

DEBONDING; ELASTIC MODULI; ELASTOPLASTICITY; FIBER REINFORCED PLASTICS; MECHANICS; MICROMECHANICS; MICROSTRUCTURE; PLASTICITY; WEIBULL DISTRIBUTION;

FIBERS;

EID: 67649850581     PISSN: 10567895     EISSN: 15307921     Source Type: Journal    
DOI: 10.1177/1056789508097549     Document Type: Article

References (46)

1. Ahmad, S.N.A. S., Hashim, J. and Ghazali, M.I. (2007). Effect of Porosity on Tensile Properties of Cast Particle Reinforced MMC, Journal of Composite Materials, 41(5): 575-589.
2. Eshelby, J.D. (1957). The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proc. R. Soc. Lond., A241:376-396.
3. Hashin, Z. (1965). On Elastic Behavior of Fiber Reinforced Materials of Arbitrary Transverse Phase Geometry, J. Mech. Phys. Solids, 13: 119-134.
4. Hashin, Z. and Rosen, B.W. (1964). The Elastic Moduli of Fiber-reinforced Materials, J. Appl. Mech., 31: 223-232.
5. Hill, R. (1964 a). Theory of Mechanical Properties of Fiber-strengthened Materials I. Elastic Behavior, J. Mech. Phys. Solids, 12: 199-213.
6. Hill, R. (1964 b). Theory of Mechanical Properties of Fiber-strengthened Materials: II. Inelastic Behavior, J. Mech. Phys. Solids, 12: 214-218.
7. Huang, Y. and Hu, K.X. (1995). A Generalized Self-consistent Mechanics Method for Solids Containing Elliptical Inclusions, ASME J. Applied Mechanics, 62: 566-572.
8. Ju, J.W. and Chen, T.M. (1994a). Micromechanics and Effective Moduli of Elastic Composites Containing Randomly Dispersed Ellipsoidal Inhomogeneities, Acta Mechanica, 103: 103-121.
9. Ju, J.W. and Chen, T.M. (1994b). Effective Elastic Moduli of Two-phase Composites Containing Randomly Dispersed Spherical Inhomogeneities, Acta Mechanica, 103: 123-144.
10. Ju, J.W. and Chen, T.M. (1994 c). Micromechanics and Effective Elastoplastic Behavior of Two-phase Metal Matrix Composites, Trans ASME, J. Eng. Mater. Tech., 116: 310 - 318.
11. Ju, J.W. and Ko, Y.F. (2008). Micromechanical Elastoplastic Damage Modeling of Progressive Interfacial arc Debonding for Fiber-reinforced Composites, Int. J. Damage Mechanics, 17(4), 307-356.
12. Ju, J.W., Ko, Y.F. and Ruan, H.N. (2006). Effective Elastoplastic Damage Mechanics for Fiber Reinforced Composites with Evolutionary Complete Fiber Debonding, Int. J. Damage Mechanics, 15(3): 237-265.
13. Ju, J.W., Ko, Y.F. and Ruan, H.N. (2008). Effective Elastoplastic Damage Mechanics for Fiber Reinforced Composites with Evolutionary Partial Fiber Debonding, Int. J. Damage Mechanics, August 4, 2008, DOI: 10.1177/ 1056789507081688.
14. Ju, J.W. and Lee, H.K. (2000). A Micromechanical Damage Model for Effective Elastoplastic Behavior of Ductile Matrix Composites Considering Evolutionary Complete Particle Debonding, Comput. Methods Appl. Mech. Engng., 183: 201-222.
15. Ju, J.W. and Sun, L.Z. (2001). Effective Elastoplastic Behavior of Metal Matrix Composites Containing Randomly Located Aligned Spheroidal Inhomogeneities. Part I: Micromechanics-based Formulation, Int. J. Solids & Struct., 38(2): 183-201.
16. Ju, J.W. and Tseng, K.H. (1996). Effective Elastoplastic Behavior of Two-phase Ductile Matrix Composites: A Micromechanical Framework, Int. J. Solids & Struct., 33(29): 4267-4291.
17. Ju, J.W. and Tseng, K.H. (1997). Effective Elastoplastic Algorithms for Ductile Matrix Composites, J. Eng. Mech., ASCE, 123(3): 260-266.
18. Ju, J.W. and Zhang, X.D. (1998). Micromechanics and Effective Transverse Elastic Moduli of Composites with Randomly Located Aligned Circular Fibers, Int. J. Solids & Struct., 35(9-10): 941-960.
19. Ju, J.W. and Zhang, X.D. (2001). Effective Elastoplastic Behavior of Ductile Matrix Composites Containing Randomly Located Aligned Circular Fibers, Int. J. Solids & Struct., 38: 4045-4069.
20. Kadotani, K., Aki, F. and Watanabe, T. (1981). Mechanical and Electrical Properties of Mica Flake Integrated Sheet/Epoxy Laminates, Composites, 12: 260-264.
21. Ko, Y.-F. (2005). Effective Elastoplastic-damage Model for Fiber-reinforced Metal Matrix Composites with Evolutionary Fibers Debonding, Ph.D. Thesis, UCLA, Dec. 2005.
22. Lee, H.K. and Ju, J.W. (2007). A Three-dimensional Stress Analysis of a Penny-shaped crack Interacting with a Spherical Inclusion, Int. J. of Damage Mechanics, 16(3): 331-359.
23. Li, J. and Weng, G.J. (1994). Effective Creep Behavior and Complex Moduli of Fiber-and Ribbon-reinforced Polymer-matrix Composites, Composites Science and Technology, 52: 615-629.
24. Li, J. and Weng, G.J. (1996). Orthotropic Creep and Complex Moduli of a Viscoelastic Composite Reinforced with Aligned Elliptic Fibers, J. Comp. Mater., 30: 1042-1066.
25. Li, J. and Weng, G.J. (1997). Stress-strain Relations of a Viscoelastic Composite Reinforced with Elliptic Cylinders, J. Comp. Mater., 10: 19-30.
26. Liu, H.T. and Sun, L.Z. (2004). Effects of Thermal Residual Stresses on Effective Elastoplastic Behavior of Metal Matrix Composites, Int. J. Solids & Struct., 41: 2189-2203.
27. Liu, H.T., Sun, L.Z. and Ju, J.W. (2004). An Interfacial Debonding Model for Particle-reinforced Composites, Int. J. Damage Mech., 13(2): 163-185.
28. Liu, H.T., Sun, L.Z. and Ju, J.W. (2006). Elastoplastic Modeling of Progressive Interfacial Debonding for Particle-reinforced Metal Matrix Composites, Acta Mechanica, 181(1-2): 1-17.
29. Manocha, L.M., Warrier, A., Manocha, S., Edie, D.D. and Ogale, A.A. (2003). Microstructure of Carbon/Carbon Composites Reinforced with Pitch-based Ribbon-shape Carbon Fibers, Carbon, 41: 1425-1436.
30. Mori, T. and Tanaka, K. (1973). Average Stress in a Matrix and Average Elastic Energy of Materials with Misfitting Inclusions, Acta Metall., 21: 571-574.
31. Mura, T. (1987). Micromechanics of Defects in Solids, 2nd edn, Kluwer Academic, The Netherlands.
32. Nimmer, R.P., Bankert, R.J., Russell, E.S., Smith, G.A. and Wright, P.K. (1991). Micromechanical Modeling of Fiber/Matrix Interface Effects in Transversely Loaded SiC/Ti-6-4 Metal Matrix Composites, J. Comp. Tech. Research, JCTRER, 13: 3-13.
33. Paulino, G.H.H., Yin, H.M. and Sun, L.Z. (2006). Micromechanics-based Interfacial Debonding Model for Damage of Functionally Graded Materials with Particle Interactions, Int. J. Damage Mech., 15(3): 267-288.
34. Sun, L.Z. and Ju, J.W. (2001). Effective Elastoplastic Behavior of Metal Matrix Composites Containing Randomly Located Aligned Spheroidal Inhomogeneities, Part II: Applications, Int. J. Solids & Struct., 38(2): 203-225.
35. Sun, L.Z. and Ju, J.W. (2004). Elastoplastic Modeling of Metal Matrix Composites Containing Randomly Located and Oriented Spheroidal Particles, J. Appl. Mech., ASME, 71: 774-785.
36. Sun, L.Z., Ju, J.W. and Liu, H.T. (2003a). Elastoplastic Modeling of Metal Matrix Composites with Evolutionary Particle Debonding, Mechanics of Materials, 35: 559-569.
37. Sun, L.Z., Liu, H.T. and Ju, J.W. (2003b). Effect of Particle Cracking on Elastoplastic Behavior of Metal Matrix Composites, Int. J. Numer. Meth. in Eng., 56: 2183-2198.
38. Taya, M. and Chou, T.W. (1981). On Two Kinds of Ellipsoidal Inhomogeneities in Infinite Elastic Body: An Application to a Hybrid Composite, Int. J. Solids & Struct., 17: 553-563.
39. Tohgo, K. and Weng, G.J. (1994). A Progress Damage Mechanics in Particle-reinforced Metal-matrix Composites Under High Triaxial Tension, J. Eng. Mat. Tech., 116: 414-420.
40. Vaidya, R.U. and Sabramanian, K.N. (1991). Elevated Temperature Mechanical Properties of Continuous Metallic Glass Ribbon-reinforced Glass-ceramic Matrix Composites, J. Mater. Sci., 26: 1391-1394.
41. Wagner, H.D. and Weiner, S. (1992). On the Relationship between the Microstructure of Bone and its Mechanical Stiffness, J. Biomechanics, 25: 1311-1320.
42. Weibull, W. (1951). A Statistical Distribution Function of Wide Applicability, J. Appl. Mech., 18: 293-297.
43. Zhao, Y.H. and Weng, G.J. (1990). Effective Elastic Moduli of Ribbon-reinforced Composites, J. Appl. Mech., 57: 158-167.
44. Zhao, Y.H. and Weng, G.J. (1995). A Theory of Inclusion Debonding and its Influence on the Stress-strain Relations of a Ductile Matrix, Int. J. Damage Mechanics, 4: 196-211.
45. Zhao, Y.H. and Weng, G.J. (1996). Plasticity of a Two-phase Composite with Partially Debonded Inclusions, Int. J. Plasticity, 12: 781-804.
46. Zhao, Y.H. and Weng, G.J. (1997). Transversely Isotropic Moduli of Two Partially Debonded Composites, Int. J. Solids & Struct., 34: 493-507.