journal article·2002-09

Damage Constitutive Equations and its Application to Fiber Reinforced Composites under Transverse Impact

Dazhi Jiang, Wei Shen, Xingye Wang

Applied Composite Materials· Volume 9· Issue 5
Publisher page

Abstract

Two continuous field variables, called as continuity tensor and damage variable tensor, are used to describe the anisotropic responses of an elastic-brittle material under transverse impact load. Based on the continuum damage mechanics, anisotropic damage constitutive equations in both full and incremental forms are proposed here. The expressions of effective elastic module tensor, damage variable tensor and damage propagation force tensor are further derived, and the methods for determining the tensors are explained in detail. An example of strain and damage response of a fiber reinforced composite laminated plate under transverse impact load is employed to demonstrate the application of this theory. In the example, the damage variable coupled with geometric large deformation of laminated plate is also considered. The calculating results illustrate the influence of damage on strain field in the impacted laminated plate.
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Research context

OpenAlex topics: Metal Forming Simulation Techniques · Fatigue and fracture mechanics · Structural Load-Bearing Analysis

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References (28)

Show source-provided references
1. Kachanov, M., ‘Time of the rupture process under creep conditions', Izv. Akad Nauk S.S.S.R., Otd. Tech. Nauk 8, 1958, 26–31.
2. Lemaitre, J., Evaluation of Dissipation and Damage in Metals, Proc. I. C. M. (1), Kyoto, Japan, 1971.
3. Lemaitre, J., ‘How to use damage mechanics', Nuclear Engineering Design 80, 1984, 233–245.10.1016/0029-5493(84)90169-9 ↗
4. Lemaitre, J., ‘A continuous damage mechanics model for ductile fracture', Journal of Engineering Material Technology 107, 1985, 83–89.10.1115/1.3225775 ↗
5. Kachanov, M., ‘Crack Growth under Conditions of Creep and Damage', in A. Ponter and D. Hayhurst (eds.), Creep in Structures, Springer, Berlin, 1981, pp. 520–524.10.1007/978-3-642-81598-0_34 ↗
6. Kachanov, M., ‘On Modeling of Anisotropic Damage in Elastic-brittle Materials-a Brief Review', in A. S. D. Wang and G. K. Haritos (eds.), Proceedings of the ASME Winter Annual Meeting, Boston, MA, 1987, pp. 99–105.
7. Krajcinovic, D. and Fonseka, G. U., ‘The continuous damage theory of brittle materials, Parts I and II', ASME Journal of Applied Mechanics 48, 1981, 809–824.10.1115/1.3157739 ↗
8. Krajcinovic, D., ‘Creep of structures-a continuous damage mechanics approch', ASME Journal of Structure Mechanics 11, 1983, 1–11.10.1080/03601218308907428 ↗
9. Rabotnov, I. N., ‘On the equations of state for creep', Progress in Applied Mechanics-the Prager Anniversary Volume, 1963, 307–315.
10. Rabotnov, I. N., ‘Creep Rapture', Process 12th International Congress of Applied Mechanics, Berlin, 1968.
11. Mazars, J. and Lemaitre, J., ‘Application of Continuous Damage Mechanics to Strain and Fracture Behavior of Concrete', in S. P. Shah (ed.), Application of Fracture Mechanics to Cementitious, NATO Advanced Research Workshop, Northwestern University, 1984, pp. 375–388.10.1007/978-94-009-5121-1_17 ↗
12. Cordebois, J. P. et al., ‘Mechanical Behavior of Anisotropic Solid', in Colloquia Enromech 115, Martinus Nijhoff Publishers, 1979, pp. 761–774.
13. Ladeveze, P. et al., ‘Damage and Fracture of Tridirectional Composite', in Proceedings of ICCM-IV, 1982, pp. 619–648.
14. Shen, W. et al., ‘A crack-damage mechanic model for composite laminate', Engineering Fracture Mechanics 16, 1985, 1109–1129.
15. Shen, W. et al., ‘An Anisotropic Damage for Anisotropic Materials', in Proceedings of the International Symposium on Composite Materials and Structures, Beijing, 1986, pp. 549–555.
16. Betten, J., ‘Applications of tensor to the formulation of constitutive equations involving damage and initial anisotropy', Engineering Fracture Mechanics 25, 1986, 573–584.10.1016/0013-7944(86)90023-8 ↗
17. Simo, J. C. and Ju, J. W., ‘Strain-and stress-based continuum damage models-I. Formulation', International Journal of Solids Structures 23(7), 1987, 821–840.10.1016/0020-7683(87)90083-7 ↗
18. Ju, J. W., ‘On energy-based coupled elastoplastic damage theories: constitutive modeling and computation aspects', International Journal of Solids Structures 25(7), 1989, 803–833.10.1016/0020-7683(89)90015-2 ↗
19. Shen, W. et al., ‘Generalized elastic damage theory and its application to composite plate', Engineering Fracture Mechanics 28(4), 1987, 403–412.10.1016/0013-7944(87)90185-8 ↗
20. Shen, W. and Wu, C., ‘Computer simulation for damage-failure process of composite plate under high-speed impact', Engineering Fracture Mechanics 42(1), 1992, 159–168.10.1016/0013-7944(92)90287-O ↗
21. Mura, T., Micromechanics of Defects in Solids, 2nd edn, Martinus Nijhoff Publishers, Dordrecht, 1987.10.1007/978-94-009-3489-4 ↗
22. Shen, W. et al., ‘Elastic damage and energy dissipation in anisotropic solid material', Engineering Fracture Mechanics 33(2), 1989, 273–281.10.1016/0013-7944(89)90029-5 ↗
23. Rice, D. L., ‘Large displacement transient analysis of flexible structure', International Journal of Numerical Methods in Engineering 36(9), 1993, 1541.10.1002/nme.1620360908 ↗
24. Oden, J. T., Finite Elements of Nonlinear Continua, McGraw-Hill, New York, 1972.
25. Yang, X. H. and Shen, W., ‘An advanced dynamic three-dimensional finite element method to simulate deformation-damage process of laminates under impact', Engineering Fracture Mechanics 49(4), 1994, 631–638.10.1016/0013-7944(94)90055-8 ↗
26. Vinson, J. R. and Chou, T. W., Composite Materials and their Use in Structures, Applied Science Publishers, Ltd., 1975.
27. Jiang D. and Shen, W., ‘Determination of Damage Thresholds of Fiber Reinforced Composite Laminated Plates by Transverse Impact’, ISIE/4, Japan, 2001.
28. Jiang, D., Shen, W., and Wang, X., 'simulation of Impact Deformation, Damage and Fracture in Composite Laminates', in S. L.Murray (ed.), Proceedings of the ICCM-XI, Vol. 2, Australia, 1997, pp. 583–593.