Abstract
In this chapter, problems of fracture and stability of a moving plate, travelling in a system of rollers at a constant velocity, are studied. It is known that in the manufacturing process, there may occur many kinds of defects in the paper web, such as edge cracks and blister and fiber cuts. Our aim is to tackle this problem and analyse theoretically how the defects change the behaviour. We will use the model of a thin elastic plate made of brittle material. A plate with initial cracks is studied, subjected to constant tension and cyclic tension. As a result, we will show how to find safe parameter ranges of transport velocities and in-plane tensions when fracture, stability and constraints on longevity are taken into account.
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References
Banichuk N, Jeronen J, Neittaanmäki P, Tuovinen T, Saksa T (2010) Theoretical study on travelling web dynamics and instability under a linear tension distribution. Tech. Rep. B1/2010, University of Jyväskylä, Reports of the Department of Mathematical Information Technology. B: Scientific Computing.
Banichuk N, Jeronen J, Saksa T, Tuovinen T (2011) Static instability analysis of an elastic band travelling in the gravitational field. Rakenteiden mekaniikka (J Struct Mech) 44(3):172–185
Banichuk N, Kurki M, Neittaanmäki P, Saksa T, Tirronen M, Tuovinen T (2013) Optimization and analysis of processes with moving materials subjected to fatigue fracture and instability. Mechanics Based Design of Structures and Machines: An International Journal 41(2):146–167, http://dx.doi.org/10.1080/15397734.2012.708630
Forman RG, Kearney VE, Engle RM (1967) Numerical analysis of crack propagation in cyclic-loaded structure. J Basic Eng, Trans Am Soc Mech Eng D 89:459–464
Hristopulos DT, Uesaka T (2002) A model of machine-direction tension variations in paper webs with runnability applications. J Pulp Pap Sci 28(12):389–394
Irwin GR (1958) Fracture. In: Flugge S (ed) Handbuch der Physik, vol VI. Springer, Berlin, p 551–590
Paris PC, Erdogan F (1963) A critical analysis of crack propagation laws. J Basic Eng, Trans Am Soc Mech Eng D 85:528–534
Seth RS, Page DH (1974) Fracture resistance of paper. J Mater Sci 9(11):1745–1753, http://dx.doi.org/10.1007/BF00541741
Westergaard HM (1939) Bearing pressures and cracks. J Appl Mech 6:A49–A53
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Banichuk, N., Jeronen, J., Neittaanmäki, P., Saksa, T., Tuovinen, T. (2014). Fracture and Fatigue of Travelling Plates. In: Mechanics of Moving Materials. Solid Mechanics and Its Applications, vol 207. Springer, Cham. https://doi.org/10.1007/978-3-319-01745-7_7
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DOI: https://doi.org/10.1007/978-3-319-01745-7_7
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