Competing Weibull and stress-transfer influences on the specific tensile strength of a bonded fibrous network

Composites Science and Technology

Volumn 67, Issue 7-8, 2007, Pages 1650-1658

  I'Anson, S J ^a   Sampson, W W ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

A. Fibres; B. Strength; C. Stress transfer

Indexed keywords

DENSITY (SPECIFIC GRAVITY); FIBER REINFORCED MATERIALS; MATHEMATICAL MODELS; PROBABILITY; STRESSES; TENSILE STRENGTH;

AREAL DENSITY; BONDED FIBROUS NETWORK; STRESS TRANSFER; WEIBULL PROBABILITY;

FIBERS;

BONDED FIBER FABRIC; MATHEMATICAL MODEL; STATISTICAL ANALYSIS; STRENGTH; STRESS; TENSILE PROPERTY;

EID: 33947101614     PISSN: 02663538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compscitech.2006.07.002     Document Type: Article

References (44)

1. Page D.H. A theory for the tensile strength of paper. Tappi J 52 4 (1969) 674-681
2. Kallmes O., Bernier G., and Perez M. A mechanistic theory for the load elongation properties of paper. Pap Tech Ind 18 7 (1977) 222-228 18(8):243-225, 18(9):283-225, 18(10):328-331
3. Dodson C.T.J. The nature of bonds in paper and the behaviour of paper under mechanical strain. Rep Prog Phys 33 1 (1970) 1-43
4. Kallmes O., and Bernier G. The structure of paper, III. The absolute, relative and maximum bonded areas of random fiber networks. Tappi J 45 11 (1962) 867-872
5. Waterhouse JF. The ultimate strength of paper. In: Design criteria for paper performance. Stockholm (Sweden): STFI Meddelande A696;1987;51-92.
6. Van den Akker J.A., Lathrop A.L., Voelker M.H., and Dearth L.R. Importance of fiber strength to sheet strength. Tappi J 41 8 (1958) 416-425
7. Cox H.L. The elasticity and strength of paper and other fibrous materials. Brit J Appl Phys 3 (1952) 72-79
8. Räisänen V.I., Alava M.J., Niskanen K.J., and Nieminen R.M. Does the shear-lag model apply to random fiber networks?. J Mater Res 12 10 (1997) 2725-2732
9. Eichhorn S.J., and Young R.J. Deformation micromechanics of natural cellulose networks and composites. Comp Sci Technol 63 9 (2003) 1225-1230
10. Page D.H., Seth R.S., and De Grace J.H. The elastic modulus of paper, I. The controlling mechanisms. Tappi J 62 9 (1979) 99-102
11. Page D.H., and Seth R.S. The elastic modulus of paper, II. The importance of fiber modulus, bonding and fiber length. Tappi J 63 6 (1980) 113-116
12. Seth RS, Page DH. The stress strain curve of paper. In: Brander J, editor. The role of fundamental research in paper making. Trans. VIIth Fund. Res. Symp., Cambridge, September 1981. FRC, Manchester, 2003; p. 421-52.
13. Carlsson L.A., and Lindström T. A shear-lag approach to the tensile strength of paper. Comp Sci Technol 65 2 (2005) 183-189
14. Carlsson L.A., and Lindström T. A shear-lag approach to the tensile strength of paper. Erratum 65 7-8 (2005) 1321
15. Åström J., Saarinen S., Niskanen K., and Kurkijärvi J. Microscopic mechanics of fiber networks. J Appl Phys 75 5 (1994) 2383-2392
16. Åström J.A., Mäkinen J.P., Alava M.J., and Timonen J. Elasticity of Poissonian fiber networks. Phys Rev E 61 5 (2000) 5550-5556
17. Räisänen V.I., and Hermann H.J. Effect of texture on fracture of fibrous materials. Comput Meth Appl Mech Eng 161 1-2 (1998) 103-112
18. Ostoja-Starzewski M. Random field properties of heterogeneous materials. Int J Solids Struct 35 19 (1998) 2429-2455
19. Bronkhorst C.A. Modelling paper as a two-dimensional elastic-plastic stochastic network. Int J Solids Struct 40 20 (2003) 5441-5454
20. Seth R. Measurement of fracture resistance of paper. Tappi J 62 7 (1979) 92-95
21. Seth R., and Page D.H. Fracture resistance of paper. J Mater Sci 9 11 (1974) 1745-1753
22. Yuhara T., and Kortschot M.T. A simplified determination of the J-integral for paper. J Mater Sci 28 13 (1993) 3571-3580
23. Wellmar P., Fellers C., Nilsson F., and Delhage L. Crack-tip characterisation in paper. J Pulp Paper Sci 23 6 (1997) 269-275
24. Weibull W. A statistical theory of the strength of materials. Ingeniörsvetenskapsakademiens Handlingar 1939; Generalstabens Litografiska Anstalts Förlag, Stockholm, 151.
25. Gregersen ØW, Hansen Å, Helle T. Evaluation of newsprint strength and runnability by using Weibull statistics. In: Progress in Paper Physics Seminar, Vancouver, Canada, 1998. Paper D1.
26. Uesaka T, Ferahi M, Hristopulos D, Deng N, Moss C. Factors controlling pressroom runnability of paper. In: Baker CF, editor. The Science of Papermaking, Trans. XIIth Fund. Res. Symp., Oxford, September 2001. FRC, Manchester; p. 1423-40.
27. Hristopulos D.T., and Uesaka T. Structural disorder effects on the tensile strength distribution of heterogeneous brittle materials with emphasis on fiber networks. Phys Rev B 70 6 (2004) 064108
28. Korteoja M., Salminen L.I., Niskanen K.J., and Alava M.J. Strength distribution in paper. Mater Sci Eng A 248 1-2 (1998) 173-180
29. Wathén R, Niskanen K. Paper web strength distributions and formation. In: Progess in Paper Physics Seminar, Syracuse, USA, 2002. p55.
30. Deng M., and Dodson C.T.J. Paper: An Engineered Stochastic Structure (1994), Tappi Press, Atlanta
31. Burgess W.H. Effect of basis weight on tensile strength. Tappi J 53 9 (1970) 1680-1682
32. Seth R.S., Jantunen J.T., and Moss C.S. The effect of grammage on sheet properties. Appita J 42 1 (1989) 42-48
33. Wahjudi Withers U., Duffy G.G., Kibblewhite R.P., and Riddell M.J.C. Effect of grammage and concentration on paper sheet formation of Pinus Radiata kraft pulps. Appita J 55 1 (2002) 35-42
34. Mohlin U-B. Influence of grammage on sheet strength properties. In: Progress in Paper Physics Seminar, Otaniemi, Finland, 1992, p12.
35. Niskanen K. Strength and Fracture of Paper. In: Baker CF, editor. Products of Papermaking, Trans. Xth Fund. Res. Symp. Oxford, September 1993. FRC, Manchester, 641-726.
36. Alava M., and Niskanen K. The physics of paper. Rep Prog Phys 69 3 (2006) 669-723
37. Nordström B. Effects of grammage on sheet properties in one-sided and two-sided roll forming. Nordic Pulp Paper Res J 18 3 (2003) 280-287
38. Nordström B., and Norman B. Effects of grammage on paper properties for twin-wire roll forming of TMP. J Pulp Paper Sci 21 12 (1995) 427-431
39. Sampson W.W. A model for fibre contact in planar random fibre networks. J Mater Sci 39 8 (2004) 2775-2781
40. Sampson W.W., and Sirviö J. The statistics of interfibre contact in random fibre networks. J Pulp Paper Sci 31 3 (2005) 127-131
41. Wolfram S. The mathematica book. fifth ed. (2003), Wolfram Media, Champaign
42. Fellers C., Andersson H., and Hollmark H. The definition and measurement of thickness and density. In: Bristow J.A., and Kolseth P. (Eds). Paper structure and properties (1986), Marcel Dekker, New York
43. Niskanen K, Kajanto I, Pakarinen P. Paper Structure. In: Niskanen K, editor. Paper Physics. Fapet, Helsinki, 1998.
44. Corte H., and Dodson C.T.J. Über die Verteilung der Massendichte in Papier-Erster teil: Theoretische Grundlagen. Das Papier 23 7 (1969) 381-393