Effective 3D Constitutive Relations of Composites with Evolving Damage
Publication: Journal of Engineering Mechanics
Volume 127, Issue 7
Abstract
In this study it is shown that a computational procedure, termed “discrete damage space homogenization method” (DDSHM), can predict the constitutive response of layered composite materials containing growing cracks. The fully 3D effective constitutive law for a specific layered composite architecture, as defined by the DDSHM, was integrated into the ABAQUS commercial finite-element program using the user-defined material feature. Calculations were carried out for flat laminates with penny-shaped microcracks to illustrate the computational efficiency of the method for general analysis of composite materials with growing cracks. Results show that, given basic information about the fracture toughness of the material, the DDSHM is able to predict important material parameters including the load at initiation of cracking, damage growth rate, and resulting effect on the macroscopic stiffness.
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References
1.
Bakhvalov, N., and Panasenko, G. ( 1989). “Homogenisation: Averaging processes in periodic media.” Mathematical problems in the mechanics of composite materials, Kluwer, Dordrecht, The Netherlands.
2.
Bensoussan, A., Lions, J.-L., and Papanicolau, G. ( 1978). Asymptotic analysis for periodic structures, North-Holland, Amsterdam.
3.
Caiazzo, A. A. ( 2000). “Computational methods for determination of the effective constitutive relations of composite materials with growing cracks.” PhD dissertation, Pennsylvania State University, University Park, Pa.
4.
Caiazzo, A. A., and Costanzo, F. ( 2000a). “On the constitutive relations of materials with evolving microstructure due to microcracking.” Int. J. Solids and Struct., 37, 3375–3398.
5.
Caiazzo, A. A., and Costanzo, F. ( 2000b). “On the effective elastic properties of composites with evolving microcracking.” J. Reinforced Plastics and Compos., 19, 152–163.
6.
Costanzo, F., Boyd, J. G., and Allen, D. H. ( 1996). “Micromechanics and homogenization of inelastic composites materials with growing cracks.” J. Mech. Phys. Solids, 44, 333–370.
7.
Edelen, D. G. B. ( 1974). “Primitive thermodynamics: A new look at the Clausius-Duhem inequality.” Int. J. Engrg. Sci., 12, 121–141.
8.
Germain, P., Nguyen, Q. S., and Suquet, P. M. ( 1983). “Continuum thermodynamics.” Trans. ASME, 50, 1010–1020.
9.
Halphen, B., and Nguyen, Q. S. ( 1975). “Sur les Matériaux Standards Généralisés.” J. Mécanique, Paris, 14, 39–63.
10.
Hashin, Z. ( 1983). “Analysis of composite materials—A survey.” J. Appl. Mech., 50, 481–505.
11.
Maugin, G. A. ( 1992). The thermomechanics of plasticity and fracture, Cambridge University Press, Cambridge, U.K.
12.
Nguyen, Q. S. ( 1984). “Bifurcation et Stabilité des Systèmes Irréversibles Obéissant au Principe de Dissipation Maximale.” J. Méchanique Théorique et Appliquée, 3, 41–61 (in French).
13.
Nguyen, Q. S. ( 1985). “Uniqueness, stability and bifurcation of standard systems.” Plasticity today: Modeling, methods and applications, A. Sawczuk and G. Bianchi, eds., Elsevier Science, 399–412.
14.
Nguyen, Q. S. ( 1986). “Basic theorems of elastoplasticity.” Modeling small deformations of polycrystals, J. Gittus and J. Zarka, eds., Elsevier Science, 65–88.
15.
Nguyen, Q. S. ( 1987). “Bifurcation and post-bifurcation analysis in plasticity and brittle fracture.” J. Mech. Phys. Solids, 35, 303–324.
16.
Nguyen, Q. S., Stolz, C., and Debruyne, G. ( 1990). “Energy methods in fracture mechanics: Stability, bifurcations and second variations.” Eur. J. Mech., A/Solids, 9, 157–173.
17.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P. ( 1994). Numerical recipes in FORTRAN, 2nd Ed., Cambridge University Press, Cambridge, U.K.
18.
Suquet, P. M. ( 1987). “Elements of homogenization of inelastic solid mechanics.” Homogenization techniques for composite media, E. Sanchez-Palencia and A. Zaoui, eds., Springer, New York, 193–278.
Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 127 • Issue 7 • July 2001
Pages: 661 - 666
History
Received: Jul 13, 2000
Published online: Jul 1, 2001
Published in print: Jul 2001
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