Layered composite, bonded with two half planes, one of which contains a crack, is compared with homogeneous anisotropic media, bonded similar half planes. This problem is analyzed for the case of antiplane strain. Stress singularities are investigated, and numerical results are presented and compared for these models. Conclusions drawn concern thresholds within which the model of homogeneous media can serve to simulate a layered composite.
1. Cherepanov, G. P.1979. Mechanics of Brittle Fracture, New York: McGraw-Hill.
2.
2. Cherepanov, G. P.1983. Fracture Mechanics of Composite Materials, (in Russian), Moscow: Nauka.
3.
3. Broutman, L. and R. Krock, eds. 1973-1976. Composite Materials, Vols. 1-8, New York and London: Academic Press.
4.
4. Hilton, P. D. and G. S. Sih. 1971. "A Laminate Composite with a Crack Normal to the Interface,"Int. J. Solids Struct., 7:913-930.
5.
5. Pagano, N. J., ed. 1989. "Interlaminar Response of Composite Materials,"Composite Materials Series, 5,Amsterdam-Oxford-New York-Tokyo: Elsevier.
6.
6. Kachanov, M. L.1993. "Elastic Solids with Many Cracks and Related Problems,"Advances in Applied Mechanics, Vol. 30, J. Huthchinson and T. Wu, eds., Academic Press, pp. 259-445.
7.
7. Khoroshun, L. P.1966. "Stress-Strain Relationship in Layered Continuum,"Prikl. Mekh. (in Russian), 2:14-19.
8.
8. Ma, C. C. and B. L. Hour. 1990. "Antiplane Problems in Composite Materials with an Inclined Crack Terminating at Bimaterial Interface,"Int. J. Solids Struct., 26:1387-1400.
9.
9. 1994. "Micromechanics of Random Media,"Selected and Revised Proceedings of the Symposium on Micromechanics of Random Media, MEETN '93, App. Mech. Rev., ASME, 47(6), part 2.
10.
10. Mishuris, G. S. 1985. "Applications of the Integral Transforms in Problems of Elastic Solids with Notches," Ph.D. thesis, (in Russian), Leningrad State University, (available in VINITI, N 0485004348), 174 pp.
11.
11. Mishuris, G. S. and Z. Olesiak. "On Boundary Value Problems in Fracture Mechanics of Composite," (accepted for publication in EJAM).
12.
12. Nazarov, S. A.1983. Introduction to Asymptotic Methods of the Theory of Elasticity, Leningrad: Edition of the Leningrad State University, (in Russian).
13.
13. Reddy, J. N. and D. H. Robbins, Jr.1994. "Theories and Computational Models for Composite Laminates,"Appl. Mech. Rev., ASME, 47(6):147-169, part 1.
14.
14. Schovanec, L.1988. "A Mode—III Crack Problem in a Bonded Composite Material, Eng. Fract. Mech., 31:437-449.
15.
15. Sih, G. C.1974. Handbook of Stress-Intensity Factors, Vol. 2, Bethlehem: Lehigh. Univ. Press.
16.
16. Zak, A. R. and M. S. Williams. 1963. "Crack Point Stress Singularities at a Bi-Material Interface, Trans. ASME, J. Appl. Mech., ser E, 30(1):142-143.