Elasto-plasticity of paper

International Journal of Plasticity

Volumn 19, Issue 12 SPEC ISS., 2003, Pages 2083-2098

  Castro, Jaime ^a   Ostoja Starzewski, Martin ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b MCGILL UNIVERSITY   (Canada)

Author keywords

Elasto plasticity; Nonlinear elasticity; Thermomechanics

Indexed keywords

HARDENING; PAPER; STRAIN; THERMOMECHANICAL TREATMENT;

TENSILE RESPONSE;

ELASTOPLASTICITY;

EID: 0141649226     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0749-6419(03)00060-3     Document Type: Conference Paper

References (25)

1. Aboudi, J., Pindera, M.-J., Arnold, S.M. Higher-order theory for periodic multiphase materials with inelastic phases. Int. J. Plasticity (in press).
2. Baum, G.A., Habeger, C.C., Fleischman, E.H., 1983. Measurements of the orthotropic elastic constants of paper. The Role of Fundamental Research in Paper Making. Transactions of the Symposium- Cambridge,September 1981, Mechanical Engineering Publications Ltd., pp. 453-478.
3. Bronkhorst, C.R., Bennett K.A., 2001. Deformation and failure behavior of paper In: Mark, R.E., Habeger, C.C. (Eds.), Handbook of Physical Testing of Paper, Vol 1. Chapter 7. pp. 313-428.
4. Campbell J.G. The in-plane elastic constants of paper. Austral. J. Appl. Sci. 12:1961;356-357.
5. Collins I.F., Houlsby G.T. Application of thermomechanical prin-ciples to the modeling of geotechnical materials. Proc. Roy. Soc. Lond. A. 453:1997;1975-2001.
6. Deng M., Dodson C.T.J. Paper: An Engineered Stochastic Structure. 1994;TAPPI Press, Atlanta.
7. Dl*użewski P. Anisotropic hyperelasticity based upon general strain measures. J. Elasticity. 60:2000;119-129.
8. Germain P., Nguyen Quoc Son, Suquet P. Continuum thermodynamics. ASME J. Appl. Mech. 50:1983;1010-1020.
9. Houlsby G.T., Puzrin A.M. A thermomechanical framework for constitutive models for rate-independent dissipative materials. Int. J. Plasticity. 16:2000;1017-1047.
10. Johnson M.W., Urbanik T.J. A nonlinear theory for plastic plates with application to characterizing paper properties. J. Appl. Mech. 51(3):1984;146-152.
11. Maugin G.A. The Thermomechanics of Plasticity and Fracture. 1992;Cambridge University Press, Cambridge.
12. Maugin G.A. The Thermomechanics of Nonlinear Irreversible Behaviors - an Introduction. 1999;World Scientific, Singapore.
13. Niskanen, K.J., 1993. Strength and fracture of paper. In: Baker,C.F. (Ed.), Products of Paper-making, PIRA 2. pp. 641-725.
14. Niskanen, K.J., 1998. Paper physics. Paper Science and Technology, Book 16, PI/TAPPI.
15. Ostoja-Starzewski M., Stahl D.C. Random fiber networks and special elastic orthotropy of paper. J. Elasticity. 60:2001;131-149.
16. Ostoja-Starzewski M. Microstructural randomness versus representative volume element in thermomechanics. ASME J. Appl. Mech. 69:2002;25-35.
17. Ostoja-Starzewski, M., Castro, J., 2002. IUTAM Symposium on Micromechanics of Fluid Suspensions and Solid Composites, University of Texas, Austin, TX, 2002.
18. Ostoja-Starzewski, M., Castro, J., 2003. Random formation, inelastic response and scale effects in paper. Phil. Trans Roy. Soc. Lond. A 361, 965-985.
19. Ponte Castaneda P., Suquet P. Nonlinear composites. Adv. Appl. Mech. 34:1998;171-302.
20. Suhling, J.C., Johnson, M.W., Rowlands, R.E., Gunderson D.E., 1989. Nonlinear elastic constitutive relations for cellulosic materials. In: Mechanics of cellulosic and polymeric materials: Proceedings Joint ASCE/ASME Conference, ASME, pp. 1-15.
21. Suhling J.C. Continuum models for the Mechanical Response of paper and paper composites. past, present, and future Material Interactions Relevant to Pulp, Paper, and Wood Ind. Proceedings. 197:1990;245-255.
22. Uesaka T., Murakami K., Imamura R. Biaxial tensile behavior of paper. Tappi J. 62(8):1979;11-114.
23. Xia Q.S., Boyce M.C., Parks D.M. A constitutive model for the anisotropic elastic-plastic deformation of paper and paperboard. Int. J. Solids and Struct. 39(15):2002;4053-4071.
24. Ziegler H. An Introduction to Thermomechanics. 1983;North-Holland, Amsterdam.
25. Ziegler H., Wehrli C. The derivation of constitutive relations from the free energy and the dissipation functions. Adv. Appl. Mech. 25:1987;183-238. (Academic Press, New York).