A computational micromechanics constitutive model for the unloading behavior of paper

International Journal of Solids and Structures

Volumn 44, Issue 22-23, 2007, Pages 7615-7632

  Ramasubramanian, M K ^a   Wang, Yun ^a  

^a North Carolina State University   (United States)

Author keywords

Constitutive model; Cyclic loading; Micromechanics; Nonwovens; Paper; Plasticity; Unloading

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; CONSTITUTIVE MODELS; CYCLIC LOADS; FINITE ELEMENT METHOD; JACOBIAN MATRICES; MICROSTRUCTURE; PAPER; PLASTICITY;

ASYMPTOTIC FIBER AND BOND (AFB) MODEL; CONSTITUTIVE MODEL; DEFLECTION CURVE; INITIAL ELASTIC MODULUS;

MICROMECHANICS;

FINITE ELEMENT ANALYSIS; PAPER; UNLOADING;

EID: 34548858955     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2007.05.002     Document Type: Article

References (35)

1. ABAQUS™, 1998. User-defined mechanical material behavior, Section 12.8.1, 25.2.30, Version 5.8, Hibbitt, Karlsson & Sorensen, Pawtucket, RI, USA.
2. Batten G.L., and Nissan A.H. Unified theory of the mechanical properties of paper and other H-bond-dominated solids 3. Tappi Journal 70 11 (1987) 137-140
3. Baum G.A., Brenna D.C., and Habeger C.C. Orthotropic elastic constants of paper. Tappi 64 8 (1981) 97-101
4. Bronkhorst C.A. Modelling paper as a two-dimensional elastic-plastic stochastic network. Int. J. Solids Struct. 40 (2003) 5441-5454
5. Castro J., and Ostoja-Starzewski M. Elasto-plasticity of paper. Int. J. Plast. 19 (2003) 2083-2098
6. Corte, H. Kallmes, O. J. 1962. Statistical geometry of a fibrous network. In: Bolam, F. (Ed.), Formation and structure of Paper, vol. 1, Tech. Sect. Brit. Paper and Board Makers Association, London, pp. 13.
7. Cox H.L. The elasticity and strength of paper and other orthotropic fibrous materials. Brit. J. Appl. Phys. 3 (1952) 72-79
8. Doghri I., and Tinel L. Micromechanics of inelastic composites with misaligned inclusions: Numerical treatment of orientation. Comput. Methods Appl. Mech. Eng. 195 (2006) 1387-1406
9. Furukawa I., Mark R.E., Crosby C.M., and Perkins R.W. Inelastic behavior of machine-made paper related to its structural changes. Japan Tappi J. 45 5 (1991) 582-590
10. Heyden, S., Gustafsson, P.J., 2001. Stress-strain performance of paper and fluff by network modeling, In: Proc. 12th Fundamental Research Symposium, Oxford, September 2001, pp. 1385-1401.
11. Johnson M.W., and Urbanik T.J. A nonlinear theory for plastic plates with application to characterizing paper properties. J. Appl. Mech. 51 3 (1984) 146-152
12. Kang G., Gou S., and Deng C. Numerical simulation for uniaxial cyclic deformation of discontinuously reinforced metal matrix composites. Mater. Sci. Eng. A 426 (2006) 66-76
13. Karafillis A.P., and Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids 41 12 (1993) 1859-1882
14. Komori T., and Itoh M. Theory of the general deformation of fiber assemblies. Text. Res. J 61 10 (1991) 588-594
15. Komori T., and Makishima K. Numbers of fiber-to-fiber contacts in general fiber assemblies. Text. Res. J. 47 1 (1977) 13-17
16. Lu W., Carlsson L.A., and de Ruvo A. Micro-model of paper. Tappi J. 79 2 (1996) 197-205
17. Makela P., and Ostlund S. Orthotropic elastic-plastic material model for paper materials. Int. J. Solids Struct. 40 (2003) 5599-5620
18. Niskanen, K., Karenlampi, P., 1998. In-plane tensile properties, In: Paper Physics, Book 16, Papermaking Science and Technology, A series of 19 Books, Niskanen, K. (Ed.), published by Fapet Oy, PO Box 146, FIN-00171, Helsinki, Finland, 1998, pp. 138-191.
19. Page D.H., Seth R.S., and De Grace J. Elastic modulus of paper (1). controlling mechanisms. Tappi J. 62 9 (1979) 99-102
20. Perkins, R.W., 1986. Fiber Networks (Models for Predicting Mechanical Behavior), Encyclopedia of Materials Science and Engineering, Bever, M.B. (Ed.)-in-Chief, Pergamon Press, 1986, pp. 1712-1719.
21. Perkins, R.W., 1990. Micromechanics Models for Predicting the Elastic and Strength Behavior of Paper Materials, Materials Interactions Relevant to Pulp, Paper, & Wood Ind. (Caulfield, Passaretti, & Sobczynski, ed.)/Materials Res. Soc. Symp. (San Francisco) Proc. vol. 197, April 18-20, 1990, pp. 99-118.
22. Ramasubramanian, M.K. 1987. Computer simulation of the uniaxial stress-strain behavior of ribbonlike fiber Nonwovens, Syracuse Univ. Ph.D. Thesis, 1987, 203p
23. Ramasubramanian M.K., and Perkins R.W. Computer simulation of the uniaxial elastic-plastic behavior of paper. J. Eng. Mater. Technol. 110 2 (1988) 117-123
24. Ramasubramanian, M. K., Wang, Y.Y., 1999. Constitutive models for paper and other ribbon-like nonwovens - a literature review. In: Perkins, R. (Ed.) Mechanics of Cellulosic Materials, AMD-vol. 231, MD-vol. 85, Am. Soc. Mech. Eng., New York, pp. 31-42.
25. Schulgasser K., and Page D.H. The influence of transverse us properties on the in-plane elastic behavior of paper. Composites Sci. Technol. 32 (1988) 279-292
26. Schulgasser K., and Grunseit Z. The influence of micro-formation on the inplane elastic behavior of paper. J. Mater. Sci. 25 5 (1990) 2433-2440
27. Sinha S.K. Viscoplastic Micromechanics and Continuum Models of Fibrous Cellulosic Materials (1994), Syracuse University 322 p
28. Sinha, S.K., Perkins, R.W., 1995. Micromechanics constitutive model for use in finite element analysis, In: Proc. 1995, Joint ASME Appl. Mech. Mater. Summer Meeting, Los Angeles, CA, USA, Jun 28-30, 1995.
29. Ostoja-Starzewski M., and Stahl D.C. Random fiber networks and special elastic orthotropy of paper. J. Elasticity 60 (2001) 131-149 2000
30. Stenberg N. A model for the through-thickness elastic-plastic behaviour of paper. Int. J. Solids Struct. 40 (2003) 7483-7498
31. Suhling, J.C., 1990. Continuum Models for the Mechanical Response of Paper and Paper Composites: Past, Present, and Future, Materials Interactions Relevant to Pulp, Paper, & Wood Ind. (Caulfield, Passaretti, & Sobczynski, ed.)/Materials Res. Soc. Symp. (San Francisco), Proc. vol. 197, April 18-20, 1990, pp. 245-255.
32. Van den Akker J.A. Structure and textile characteristics of papers. Tappi 53 3 (1970) 388-400
33. Wang, Y.Y. 2000. Constitutive Modeling of the Unloading Behavior of Paper Material Using the Asymptotic Fiber and Bond Model, Ph.D. Dissertation, Mechanical and Aerospace Engineering, NC State University, NC, USA.
34. Xia Q.S., Boyce M.C., and Parks D.M. A constitutive model for the anisotropic elastic-plastic deformation of paper and paperboard. Int. J. Solids Struct. 39 15 (2002) 4053-4071
35. Xie Z., Gilliksson M., and Hagglund R. Determining the elastic constants of paper with optimization methods. Inverse Problems Eng. 10 5 (2002) 393-411