Stochastic fracture analysis of systems with moving material
Tirronen, M. (2015). Stochastic fracture analysis of systems with moving material. Rakenteiden mekaniikka, 48(2), 116-135. http://rmseura.tkk.fi/rmlehti/2015/nro2/RakMek_48_2_2015_2.pdf
Published inRakenteiden mekaniikka
© The author 2015. This is an open access article licensed under CC BY-SA 4.0 license.
This paper considers the probability of fracture in a system in which a material travels supported by rollers. The moving material is subjected to longitudinal tension for which deterministic and stochastic models are studied. In the stochastic model, the tension is described by a multi-dimensional Ornstein-Uhlenbeck process. The material is assumed to have initial cracks perpendicular to the travelling direction, and a stochastic counting process describes the occurrence of cracks in the longitudinal direction of the material. The material is modelled as isotropic and elastic, and LEFM is applied. For a general counting process, when there is no fluctuation in tension, the reliability of the system can be simulated by applying conditional sampling. With the stochastic tension model, considering fracture of the material leads to a first passage time problem, the solution of which is estimated by simulation. As an example, the probability of fracture is computed for periodically occurring cracks with parameters typical to printing presses and paper material. The numerical results suggest that small cracks are not likely to affect the pressroom runnability. The results also show that tension variations may significantly increase the probability of fracture. ...
PublisherRakenteiden Mekaniikan Seura ry
Publication in research information system
MetadataShow full item record
Except where otherwise noted, this item's license is described as © The author 2015. This is an open access article licensed under CC BY-SA 4.0 license.
Showing items with similar title or keywords.
Laukkarinen, Eija (University of Jyväskylä, 2012)
Wohlfahrt-Laymann, Jan; Heimbürger, Anneli (IOS Press, 2017)Music players and cloud solution for music recommendation and automatic playlist creation are becoming increasingly more popular, as they intent to overcome the issue of the difficulty for users to find fitting music, ...
Wohlfahrt-Laymann, Jan; Heimbürger, Anneli (Tampere University of Technology, 2016)
Discrete element model for viscoelastic materials with brittle fracture : applications on glacier dynamics Riikilä, Timo (University of Jyväskylä, 2017)
Koskinen, Pekka (American Physical Society (APS), 2021)The flexibility of two-dimensional (2D) materials enables static and dynamic ripples that are known to cause lateral contraction, shrinking of the material boundary. However, the limits of 2D materials' lateral expansion ...