Reinforcement of Elastic Structures in the Presence of Imperfect Interfacial Bonding
Publication: Journal of Engineering Mechanics
Volume 127, Issue 7
Abstract
The 2D problem of plane strain is considered in the presence of imperfectly bonded elastic reinforcements. A geometric criterion on the shape and size of the elastic reinforcement is found that determines when the effects of imperfect bonding overcome the benefits of the reinforcement. The criterion is given in terms of the surface traction-to-bulk stress quotient. This quantity is defined by an eigenvalue problem posed on the surface of the reinforcement.
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References
1.
Aboudi, J. ( 1991). Mechanics of composite materials: A unified micromechanical approach. Studies in applied mechanics, Vol. 29, Elsevier Science, New York.
2.
Ciarlet, P. G. ( 1997). Mathematical elasticity. Volume II: Theory of plates, studies in mathematics and its applications, Vol. 27, Elsevier Science, New York.
3.
Girault, V., and Raviart, P. A. ( 1986). Finite element methods for Navier-Stokes equations, Springer series in computational mathematics, Vol. 5, Springer, Berlin.
4.
Hashin, Z. ( 1992). “Extremum principles for elastic heterogeneous media with imperfect interfaces and their application to bounding of effective moduli.” J. Mech. Phys. Solids, 40, 767–781.
5.
Jones, J. P., and Whittier, J. S. ( 1967). “Waves at a flexibly bonded interface.” J. Appl. Mech., 34, 905–909.
6.
Lene, F., and Leguillon, D. ( 1981). “Étude de l'influence d'un glissement entre les constituants d'un matériau composite sur ses coefficients de comportment effectifs.” J. Mécanique, 20, 509–536 (in French).
7.
Lipton, R. ( 1996). “The second Stekloff eigenvalue of an inclusion and new size effects for composites with interface thermal barriers.” J. Appl. Phys., 80(10), 5583–5586.
8.
Lipton, R. ( 1998). “Optimal fiber configurations for maximum torsional rigidity.” Arch. Rational Mech. Anal., Heidelberg, Germany, 144, 79–106.
9.
Lipton, R. ( 1999). “Variational methods, bounds, and size effects for two-phase composites with coupled heat and mass transport processes at the two-phase interface.” J. Mech. Phys. Solids, 47, 1699–1736.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 127 • Issue 7 • July 2001
Pages: 667 - 671
History
Received: Jul 13, 2000
Published online: Jul 1, 2001
Published in print: Jul 2001
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