A model for the through-thickness elastic-plastic behaviour of paper

International Journal of Solids and Structures

Volumn 40, Issue 26, 2003, Pages 7483-7498

  Stenberg, Niclas ^a  

^a INNVENTIA AB   (Sweden)

Author keywords

Biaxial; Bounding surface; Compression; Elastic; Model; Out of plane; Paper; Paperboard; Plastic; Shear; Tension; Yield surface; Z direction

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; PAPER; SHEAR STRESS;

BOUNDING SURFACE;

ELASTOPLASTICITY;

ELASTOPLASTICITY; PAPER;

EID: 0242540085     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.09.003     Document Type: Article

References (25)

1. ABAQUS, 1998. Standard v5.8 User's Manual. Hibbit Karlsson and Sorensen Inc., Pawtucket, USA
2. Baumgarten, H.L., Göttsching, L., 1976. Triaxial deformation of paper under tensile load. In: Proceedings of the 1973 Fundamental Properties of Paper Related to its Uses, Cambridge, England. The British Paper and Board Industry Federation, Plough Place, Fetter Lane, London EC4A 1AL, England, pp. 227-253
3. Borja R.I. Lin C.-H. Montáns F.J. Cam-Clay plasticity, Part IV: Implicit integration of anisotropic bounding surface model with nonlinear hyperelasticity and ellipsoidal loading function Computer Methods in Applied Mechanics and Engineering 190 2001 3293-3323
4. Dafalias Y.F. Popov E.P. A model of nonlinearly hardening materials for complex loading Acta Mechanica 21 1982 173-192
5. Dunn, H.M., 2000. Micromechanisms of paperboard deformation. M.Sc. Thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
6. Hill R. A theory of the yielding and plastic flow of anisotropic metals Proceedings of the Royal Society of London A 193 1948 281-297
7. Karafillis A.P. Boyce M.C. Parks D.M. A general anisotropic yield criterion using bounds and a transformation weighting tensor Journal of the Mechanics and Physics of Solids 41 12 1993 1886-1895
8. Krieg R.D. A practical two surface plasticity theory Journal of Applied Mechanics 42 1975 641-646
9. Lif, J., 1997. Experimental methods and time dependent characterisation of paper for printing applications. Licentiate Thesis, Department of Solid Mechanics, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
10. Mäkelä, P., 2000. Crack tip modelling in paper. Licentiate Thesis, Department of Solid Mechanics, Royal Institute of Technology, Stockholm, Sweden
11. Öhrn O.E. Thickness variations of paper on stretching Svensk Papperstidning 68 5 1965 141-149
12. 2 factor for paper Tappi Journal 64 4 1981 105-106
13. Rodal, J.J.A., 1993a. Paper deformation in a calendering nip. In: Proceedings of the 1993 TAPPI Finishing and converting conference, New Orleans, USA, pp. 321-349
14. Rodal J.J.A. Paper deformation in a calander nip Tappi Journal 76 12 1993 63-74
15. Rusch K.C. Load-compression behavior of brittle foams Journal of Applied Polymer Science 14 1970 1263-1276
16. Rättö, P., 2001. On the compression properties of paper--implication for calendering, Dissertation, Department of Pulp and Paper Chemistry and Technology, Division of Paper Technology, Royal Institute of Technology, SE-100 44 Stockholm, Sweden
17. Schofield A. Wroth P. Critical state soil mechanics 1968 McGraw-Hill Publishing Company Ltd Maidenhead, Berkshire, England
18. Smith, C.A., 1999. Micromechanics of the through-thickness deformation of paperboard, M.Sc. Thesis, Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
19. Stenberg, N., 2002. Out-of-plane shear of paperboard under high compressive loads, Art 30/02, STFI, Swedish Pulp and Paper Research Institute, Stockholm, Sweden
20. Stenberg N. Fellers C. The out-of-plane Poisson's ratios of paper and paperboard Nordic Pulp and Paper Research Journal 17 4 2003 387-394
21. Stenberg N. Fellers C. Östlund S. Measuring the stress-strain properties of paperboard in the thickness direction Journal of Pulp and Paper Science 27 6 2001 213-221
22. Stenberg N. Fellers C. Östlund S. Plasticity in the thickness direction of paperboard under combined shear and normal loading Journal of Engineering Materials and Technology 123 2 2001 184-190
23. Tryding, J., 1996. In-plane fracture of paper. Dissertation, Division of Structural Mechanics. Lund Institute of Technology, Lund, Sweden
24. Xia Q.S. Boyce M.C. Parks D.M. A constitutive model for the anisotropic elastic-plastic deformation of paper and paperboard International Journal of Solids and Structures 39 2002 4053-4071
25. Xia, Q.S., 2002. Mechanics of inelastic deformation and delamination in paperboard. Dissertation, Department of Mechanical Engineering, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA