Modeling of interphases in fiber-reinforced composites under transverse loading using the boundary element method

Journal of Applied Mechanics, Transactions ASME

Volumn 67, Issue 1, 2000, Pages 41-49

  Liu, Y J ^a   Xu, N ^b   Luo, J F ^b  

^a ASME   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

INTERFACE STRESSES; TRANSVERSE LOADING;

BOUNDARY ELEMENT METHOD; COMPOSITE MICROMECHANICS; ELASTICITY; INTERFACES (MATERIALS); MATHEMATICAL MODELS; VOLUME FRACTION;

FIBER REINFORCED MATERIALS;

EID: 0034155829     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.321150     Document Type: Article

References (35)

1. Chawla, K. K., 1987, Composite Materials: Science and Engineering, Springer-Verlag, New York.
2. Achenbach, J. D., and Zhu, H., 1989, "Effect of Interfacial Zone on Mechanical Behavior and Failure of Fiber-Reinforced Composites," J. Mech. Phys. Solids, 37, No. 3, pp. 381-393.
3. Achenbach, J. D., and Zhu, H., 1990, "Effect of Interphases on Micro and Macromechanical Behavior of Hexagonal-Array Fiber Composites," ASME J. Appl. Mech., 57, pp. 956-963.
4. Zhu, H., and Achenbach, J. D., 1991, "Effect of Fiber-Matrix Interphase Defects on Microlevel Stress States at Neighboring Fibers," J. Compos. Mater., 25, pp. 224-238.
5. Hashin, Z., 1991, "Composite Materials With Interphase: Thermoelastic and Inelastic Effects," Inelastic Deformation of Composite Materials, G. J. Dvorak, ed., Springer, New York, pp. 3-34.
6. Yeh, J. R., 1992, "The Effect of Interface on the Transverse Properties of Composites," Int. J. Solids Struct., 29, pp. 2493-2505.
7. Jasiuk, I., and Kouider, M. W., 1993, "The Effect of an Inhomogeneous Interphase on the Elastic Constants of Transversely Isotropic Composites," Mech. Mater., 15, pp. 53-63.
8. Lagache, M., Agbossou, A., Pastor, J., and Muller, D., 1994, "Role of Interphase on the Elastic Behavior of Composite Materials: Theoretical and Experimental Analysis," J. Compos. Mater., 28, No. 12, pp. 1140-1157.
9. Wacker, G., Bledzki, A. K., and Chate, A., 1998, "Effect of Interphase on the Transverse Young's Modulus of Glass/Epoxy Composites," Composites, 29A, pp. 619-626.
10. Aboudi, J., 1989, "Micromechanical Analysis of Composites by the Method of Cells," Appl. Mech. Rev., 42, No. 7, pp. 193-221.
11. Sun, C. T., and Vaidya, R. S., 1996, "Prediction of Composite Properties From a Representative Volume Element," Compos. Sci. Technol., 56, pp. 171-179.
12. Hyer, M. W., 1998, Stress Analysis of Fiber-Reinforced Composite Materials, McGraw-Hill, New York.
13. Adams, D. F., 1987, "A Micromechanics Analysis of the Influence of the Interface on the Performance of Polymer-Matrix Composites," J. Reinforced Plastics Compos., 6, pp. 66-88.
14. Nassehi, V., Dhillon, J., and Mascia, L., 1993, "Finite Element Simulation of the Micromechanics of Interlayered Polymer/Fibre Composites: A Study of the Interactions Between the Reinforcing Phases," Compos. Sci. Technol., 47, pp. 349-358.
15. Mukherjee, S., 1982, Boundary Element Methods in Creep and Fracture, Applied Science Publishers, New York.
16. Cruse, T. A., 1988, Boundary Element Analysis in Computational Fracture Mechanics, Kluwer, Dordrecht, The Netherlands.
17. Banerjee, P. K., 1994, The Boundary Element Methods in Engineering, McGraw-Hill, New York.
18. Cruse, T. A., 1996, "BIE Fracture Mechanics Analysis: 25 Years of Developments," Computational Mech., 18, pp. 1-11.
19. Oshima, N., and Watari, N., 1992, "Calculation of Effective Elastic Moduli of Composite Materials With Dispersed Parallel Fibers," Theoretical and Applied Mechanics, M. Hori and G. Yagawa, cds., Japan National Committee for Theoretical and Applied Mechanics, Science Council of Japan, 41, pp. 181-188.
20. Gulrajani, S. N., and Mukherjee, S., 1993, "Sensitivities and Optimal Design of Hexagonal Array Fiber Composites With Respect to Interphase Properties," Int. J. Solids Struct., 30, No. 15, pp. 2009-2026.
21. Pan, L., Adams, D. O., and Rizzo, F. J., 1998, "Boundary Element Analysis for Composite Materials and a Library of Green's Functions," Comput. Struct., 66, No. 5, pp. 685-693.
22. Krishnasamy, G., Rizzo, F. J., and Liu, Y. J., 1994, "Boundary Integral Equations for Thin Bodies," Int. J. Numer. Methods Eng., 37, pp. 107-121.
23. Gray, L. J., Martha, L. F., and Ingraffea, A. R., 1990, "Hypersingular Integrals in Boundary Element Fracture Analysis," Int. J. Numer. Methods Eng., 29, pp. 1135-1158.
24. Krishnasamy, G., Rizzo, F. J., and Rudolphi, T. J., 1991, "Hypersingular Boundary Integral Equations: Their Occurrence, Interpretation, Regularization, and Computation," Developments in Boundary Element Methods, Vol. VII, P. K. Banerjee el al., eds., Elsevier Applied Science Publishers, London, Chapter 7.
25. Liu, Y. J., and Rizzo, F. J., 1997, "Scattering of Elastic Waves From Thin Shapes in Three Dimensions Using the Composite Boundary Integral Equation Formulation," J. Acousl. Soc. Am., 102, No. 2, Pt. 1, Aug., pp. 926-932.
26. Liu, Y. J., 1998, "Analysis of Shell-Like Structures by the Boundary Element Method Based on 3-D Elasticity: Formulation and Verification," Int. J. Numer. Methods Eng., 41, pp. 541-558.
27. Luo, J. F., Liu, Y. J., and Berger, E. J., 1998, "Analysis of Two-Dimensional Thin Structures (From Micro-to Nano-scales) Using the Boundary Element Method," Computational Mech., 22, pp. 404-412.
28. Mukherjee, S., 1999, "On Boundary Integral Equations for Cracked and for Thin Bodies," Math. Mech. Solids, in press.
29. Cruse, T. A., and Aithal, R., 1993, "Non-singular Boundary Integral Equation Implementation," Int. J. Numer. Methods Eng., 36, pp. 237-254.
30. Huang, Q., and Cruse, T. A., 1993, "Some Notes on Singular Integral Techniques in Boundary Element Analysis," Int. J. Numer. Methods Eng., 36, pp. 2643-2659.
31. Liu, Y. J., Zhang, D., and Rizzo, F. J., 1993, "Nearly Singular and Hypersingular Integrals in the Boundary Element Method," Boundary Elements XV, C. A. Brebbia and J. J. Rencis, eds., Computational Mechanics Publications, Southampton, UK, pp. 453-468.
32. Rudolphi, T. J., 1991, "The Use of Simple Solutions in the Regularization of Hypersingular Boundary Integral Equations," Mathl. Comput. Modelling, 15, pp. 269-278.
33. Liu, Y. J., and Rudolphi, T. J., 1991, "Some Identities for Fundamental Solutions and Their Applications to Weakly-Singular Boundary Element Formulations," Eng. Anal. Boundary Elem., 8, No. 6, pp. 301-311.
34. Chandrupatla, T. R., and Belegundu, A. D., 1997, Introduction to Finite Elements in Engineering, 2nd Ed., Prentice-Hall, Englewood Cliffs, NJ.
35. Timoshenko, S. P., and Goodier, J. N., 1987, Theory of Elasticity, 3rd Ed., McGraw-Hill, New York.