A strain-based formulation for the coupled viscoelastic/damage behavior

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 2, 2001, Pages 304-311

  Abdel Tawab, K ^a   Weitsman, Y J ^b  

^a GE ENERGY   (United States)

^b UNIVERSITY OF TENNESSEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0141664897     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.1348013     Document Type: Article

References (36)

1. Suvorova, J. V., 1985, “The Influence of Time and Temperature on the Reinforced Plastic Strength,” Handbook of Composites, Vol. 3—Failure Mechanics of Composites, G. C. Sih and A. M. Skudra, eds., Elsevier, New York, pp. 177-213.
2. Schapery, R. A., 1989 “Mechanical Characterization and Analysis of Inelastic Composite Laminates With Growing Damage,”Mechanics of Composite Materials and Structures, J. N. Reddy and J. L. Tapley, eds., AMD-Vol. 100, ASME, New York, pp. 1-9.
3. Tuttle, M. E., Pasricha, A., and Emery, A. F., 1995, “The Nonlinear Viscoelastic-Viscoplastic Behavior of IM7/5260 Composites Subjected to Cyclic Loading,” J. Compos. Mater., 29, No. 15, pp. 2025-2046.
4. Smith, L. V., and Weitsman, Y., 1999, “The Visco-Damage Mechanical Response of Swirl-Mat Composites,” Int. J. Fract., 97, pp. 301-319.
5. Krajcinovic, D., 1996, Damage Mechanics, Elsevier, New York.
6. Schapery, R. A., 1981, “On Viscoelastic Deformation and Failure Behavior of Composite Materials With Distributed Flaws,” Advances in Aerospace Structures and Materials, S. S. Wang and W. J. Renton, eds., ASME, New York, pp. 5-20.
7. Schapery, R. A., 1994, “Nonlinear Viscoelastic Constitutive Equations for Composites Based on Work Potentials,” Appl. Mech. Rev., 47, No. 6, Part 2, pp. S269-S275.
8. Schapery, R. A., 1996, “Characterization of Nonlinear, Time-Dependent Polymers and Polymeric Composites for Durability Analysis,” Progress in Durability Analysis of Composite Systems, A. H. Cardon, H. Fukuda, and K. Reif-snider, eds., Balkema, Rotterdam, pp. 21-38.
9. Weitsman, Y., 1988, “A Continuum Damage Model for Viscoelastic Materials,” ASME J. Appl. Mech., 55, pp. 773-780.
10. Abdel-Tawab, K., and Weitsman, Y., 1998, “A Coupled Viscoelasticity/Damage Model with Application to Swirl-Mat Composites,” Int. J. Damage Mech., 7, No. 4, pp. 351-380.
11. Kachanov, L. M., 1986, Introduction to Continuum Damage Mechanics, Mar-tinus Nijhoff, Dordrecht, The Netherlands.
12. Ju, J. W., 1989, “On Energy-Based Coupled Elastoplastic Damage Theories: Constitutive Modeling and Computational Aspects,” Int. J. Solids Struct., 25, No. 7, pp. 803-833.
13. ABAQUS, 1998, Theory Manual—Version 5.7.
14. HKS, Inc., Pawtucket, RI., Biot, M. A., 1954, “Theory of Stress-Strain Relations in Anisotropic Viscoelasticity and Relaxation Phenomena,” J. Appl. Phys., 25, No. 6, pp. 1385-1391.
15. Schapery, R. A., 1964, “Application of Thermodynamics to Thermomechanical, Fracture and Birefringent Phenomena in Viscoelastic Media,” J. Appl. Phys., 35, No. 5, pp. 1451-1465.
16. Cordebois, J. P., and Sidoroff, F., 1982, “Damage Induced Elastic Anisotropy,”Mechanical Behavior of Anisotropic Solids, Proc. EUROMECH Col-loque 115, June 1979, J. P. Boehler, ed., Martinus Nijhoff, The Netherlands, pp. 761-774.
17. Lemaitre, J., 1992, A Course on Damage Mechanics, Springer-Verlag, New York.
18. Lubarda, V. A., and Krajcinovic, D., 1993, “Damage Tensors and the Crack Density Distributions,” Int. J. Solids Struct., 30, pp. 2859-2877.
19. Murakami, S., and Imaizumi, T., 1982, “Mechanical Description of Creep Damage State and Its Experimental Verification,” J. Mec. Theor. Appl., 1, No. 5, pp. 743-761.
20. Chen, X. F., and Chow, C. L., 1995, “On Damage Strain Energy Release Rate Y,” Int. J. Damage Mech., 4, pp. 251-263.
21. Coleman, B. D., and Gurtin, M., 1967, “Thermodynamics With Internal Variables,” J. Chem. Phys., 47, pp. 597-613.
22. Callen, H. B., 1960, Thermodynamics, John Wiley and Sons, New York.
23. Prigogine, I., 1967, Thermodynamics of Irreversible Processes,3rd Ed., John Wiley and Sons, New York.
24. Lubliner, J., 1972, “On the Thermodynamic Foundation of Non-Linear Solid Mechanics,” Int. J. Non-Linear Solid Mech., 7, pp. 237-254.
25. Fung, Y. C., 1965, Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ.
26. Meirovitch, L., 1967, Analytical Methods in Vibrations, Macmillan, New York.
27. Lemaitre, J., and Chaboche, J.-L., 1985, Mechanics of Solid Materials, Cambridge University Press, New York (English translation).
28. Simo, J. C., and Ju, J. W., 1987, “Strain- and Stress-Based Continuum Damage Models—I. Formulation,” Int. J. Solids Struct., 23, pp. 821-840.
29. Pipkin, A. C., 1986, Lectures on Viscoelasticity Theory, 2nd Ed. (Applied Mathematical Sciences, Vol. 7), Springer-Verlag, New York.
30. Zheng, Q-S., 1994, “Theory of Representation of Tensor Functions—A Unified Invariant Approach to Constitutive Equations,” Appl. Mech. Rev., 47, No. 11, pp. 545-586.
31. Hansen, N. R., and Schreyer, H. L., 1994, “A Thermodynamically Consistent Framework for Theories of Elastoplasticity Coupled With Damage,” Int. J. Solids Struct., 31, No. 3, pp. 359-389.
32. Lubarda, V. A., and Krajcinovic, D., 1995, “Constitutive Structure of Rate Theory of Damage in Brittle Elastic Solids,” Appl. Math. Comput., 67, pp. 81-101.
33. Elahi, M., and Weitsman, Y. J., 1999, “The Mechanical Response of Random Swirl-Mat Polymeric Composite,” J. Eng. Mater. Technol., 121, pp. 460-467.
34. Leon, R., and Weitsman, Y. J., 2001, “Time-to-Failure of Randomly Reinforced Glass Strand/Urethane Matrix Composites: Data, Statistical Analysis and Theoretical Prediction,” Mech. Mater., 33, No. 3, pp. 127-137.
35. Schapery, R. A., 1996, “Nonlinear Constitutive Relations for Polymers and Polymeric Composites With Distributed Damage,” Univ. of Texas Report No. SSM-96-5, Sept.
36. Schapery, R. A., 1984, “Correspondence Principles and a Generalized 7-Integral for Large Deformation and Fracture Analysis of Viscoelastic Media,” Int. J. Fract., 25, pp. 195-223.