A model for defective fibrous composites

Journal of the Mechanics and Physics of Solids

Volumn 44, Issue 11, 1996, Pages 1929-1951

  Shkoller, S ^a   Maewal, A ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LOCKHEED MARTIN   (United States)

Author keywords

A. microstructures; A. stress concentrations; B. fibre reinforced composite material; C. asymptotic analysis

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY VALUE PROBLEMS; DEFECTS; FIBERS; MATHEMATICAL MODELS; MICROSTRUCTURE; STRESS CONCENTRATION;

ASYMPTOTIC ANALYSIS; FIBER DUMPING; FIBER SPREADING; HOMOGENIZATION THEORY;

FIBER REINFORCED MATERIALS;

EID: 0030287386     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/0022-5096(96)00054-3     Document Type: Article

References (12)

1. Ashby, M. F. and Jones, D. R. H. (1980) Engineering Materials I: An Introduction to Their Properties and Applications. Pergamon, Oxford.
2. Bensoussan, A., Lions, J. L. and Papanicolaou, G. (1978) Asymptotic Analysis for Periodic Structures. North-Holland, Amsterdam.
3. Briane, M. (1994) Homogenization of a non-periodic material. J. Math. Pures. Appl. 73, 47-66.
4. Donato, P. (1983) Una stima per la differenza di H-limiti e qualche applicazionc a problemi di omogeneizzazion. Rendiconti di Matematica 3(4), Serie VII.
5. Oden, J. T. and Reddy, J. N. (1976). An Introduction to the Mathematical Theory of Finite Elements. Wiley, New York.
6. Peraire, J., Vahdati, M., Morgan, K. and Zienkiewicz, O. C. (1987) Adaptive remeshing for compressible flow computations. J. Comp. Phys. 72(2), 449-466.
7. Sanchez-Palencia, E. (1980) Non-Homogeneous Media and Vibration Theory, Lecture Notes in Physics 127. Springer-Verlag, Berlin.
8. Shkoller, S. On an approximate homogenization scheme for non-periodic materials, to appear.
9. Shkoller, S. and Hegemier, G. (1995) Homogenization of plain weave composites using two-scale convergence. Int. J. Sol. Struct. 6/7, 783-794.
10. Spagnolo, S. (1968) Sulla convergenza di soluzioni di equazioni paraboliche e ellitiche. Ann. Sc. Norm. Sup. Pisa 22, 571-597.
11. Tartar, L. (1977) Cours Peccot au College de France.
12. Žhikov, V. V., Kozlov, S. M., Oleinik, O. A. and Ngoan Kha T'en (1979) Averaging and G-convergence of differential operators. Russ. Math Surveys 34, 69-147.