Abstract
A new model for incremental analysis of distributed damage evolution in heterogeneous solids is developed with the Transformation Field Analysis. Stress changes caused by local debonding under increasing overall loads are described by a selected model of imperfectly bonded inhomogeneity and represented by equivalent eigenstrains that act together with the applied loads and prescribed local transformation strains on an undamaged aggregate. Interaction between the still bonded and partially debonded phases at any damage state is described by transformation influence functions. Damage rates are derived from the local fields, in terms of a prescribed probability distribution of interface strength and local energy released by debonding. An incremental procedure is outlined that predicts the extent of damage and its effect on local and overall response under variable loads. Also, potential applications of fiber prestress in damage control and prevention in laminated structures are illustrated by two examples. One shows how prestress release can expand the tensile damage-free region of symmetric laminates. Another derives the fiber prestress magnitudes needed to eliminate free edge stress concentrations caused in any laminated plate by cooling from the processing temperature.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Achenbach, J. D., and H. Zhu. 1989. Effect of interfacial zone on mechanical behavior and failure of fiber-reinforced composites. Journal of the Mechanics and Physics of Solids 37, 381–393.
Chaboche, J. L., S. Kruch, J. F. Maire, and T. Pottier. 2000. Towards a micromechanics based inelastic and damage modeling of composites. International Journal of Plasticity, to appear.
Chen, T., G. J. Dvorak, and Y. Benveniste. 1990. Stress fields in composites reinforced by coated cylindrically orthotropic fibers. Mechanics of Materials 9, 17–32.
Christensen, R. N., and K. H. Lo. 1979. Solutions for effective properties of composite materials. Journal of the Mechanics and Physics of Solids 27, 315–330.
Dvorak, G. J. 1990. On uniform fields in heterogeneous media. Proceedings of the Royal Society of London A 431, 89–110.
Dvorak, G. J., and Y. Benveniste. 1992. On transformation strains and uniform fields in multiphase elastic media. Proceedings of the Royal Society of London A 437, 291–310.
Dvorak, G. J., and A. P. Suvorov. 2000. Effect of fiber prestress on residual stresses and onset of damage in symmetric laminates. Composite Science and Technology 60, 1129–1139.
Furuhashi, R., J. H. Huang, and T. Mura. 1992. Sliding inclusions and inhomogeneities with frictional interfaces. Journal of Applied Mechanics 59, 783–788.
Gao, Z. 1995. A circular inclusion with imperfect interface: Eshelby’s tensor and related problems. Journal of Applied Mechanics 62, 860–866.
Hashin, Z. 1991a. The spherical inclusion with imperfect interface. Journal of Applied Mechanics 58, 444–449.
Hashin, Z. 1991b. Thermoelastic properties of particulate composites with imperfect interface. Journal of the Mechanics and Physics of Solids 39, 745–762.
Hill, R. 1965. Continuum micromechanics of elastoplastic polycrystals. Journal of the Mechanics and Physics of Solids 13, 89–101.
Hutchinson, J. W., and H. M. Jensen. 1990. Models of fiber debonding and pullout in brittle composites with friction. Mechanics of Materials 9, 139–163.
Karihaloo, B. L., and K. Vishvanathan. 1985. Elastic field of a partially debonded elliptical inhomogeneity in an elastic matrix. Journal of Applied Mechanics 52, 835–840.
Needleman, A. 1987. A continuum model for void nucleation by inclusion debonding. Journal of Applied Mechanics 54, 525–531.
Steif, P. S., and A. Dollar. 1988. Longitudinal shearing of a weakly bonded fiber composite. Journal of Applied Mechanics 55, 618–623.
Tvergaard, V. 1990. Micromechanical modeling of fiber debonding in a metal reinforced by short fibers. In Inelastic Deformation of Composite Materials, G. J. Dvorak (ed.). Berlin: Springer, 99–111.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Kluwer Academic Publishers
About this paper
Cite this paper
Dvorak, G.J. (2001). Damage Analysis and Prevention in Composite Materials. In: Aref, H., Phillips, J.W. (eds) Mechanics for a New Mellennium. Springer, Dordrecht. https://doi.org/10.1007/0-306-46956-1_13
Download citation
DOI: https://doi.org/10.1007/0-306-46956-1_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7156-4
Online ISBN: 978-0-306-46956-5
eBook Packages: Springer Book Archive