Fracture resistance of paper

Seth, R. S.; Page, D. H.

doi:10.1007/bf00541741

Cited by 44 publications

(40 citation statements)

References 11 publications

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“…It is well established that the measured strength of any material will be influenced to some extent by the geometry of the sample tested. We limit our discussion here to the failure of test samples where no flaw is introduced, though note the work of Seth [19] with Page [20], that of Yuhara and Kortschot [21] and that of Wellmar et al [22], all of whom report on the influence of specimen geometry and crack size on various measures of fracture resistance of paper samples with one or two notches.…”

Section: Network Dimensionalitymentioning

confidence: 99%

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

I'Anson

Sampson

2007

Composites Science and Technology

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Section: Network Dimensionalitymentioning

confidence: 99%

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

I'Anson

Sampson

2007

Composites Science and Technology

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“…The strain energy release rate G C was obtained from the results in [29]. We studied the effect of the parameters T 0 , c T , a T , μ ξ , c ξ , a ξ and S on the probabilities r i and r f .…”

Section: Results For Printing Pressesmentioning

confidence: 99%

“…Further, by taking the conditional probability of the event in (29) with respect to the initial tension T 0 ( ), we have (see the fundamental property of conditional probability in [27,Section 3.7…”

Section: Probability Of Stabilitymentioning

confidence: 99%

On reliability of systems with moving material subjected to fracture and instability

Tirronen

2015

Probabilistic Engineering Mechanics

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a b s t r a c tThe reliability of systems with moving cracked elastic and isotropic material is considered. The material is modeled as a moving plate which continually has a crack on the edge. The plate is subjected to homogeneous tension acting in the traveling direction and the tension varies temporally around a constant value, the set tension. The tension and the length of the crack are modeled by an OrnsteinUhlenbeck process and an exponential Ornstein-Uhlenbeck process, respectively. Failure is regarded as the state at which the plate becomes unstable or fractures (or both) and a lower bound for the reliability of the system is derived. Considering reliability of the system leads to first passage time problems and, in solving them, a known explicit result for the first passage time of an Ornstein-Uhlenbeck process to a constant boundary is exploited. A change in the set tension has opposite effects on the probabilities of instability and fracture, and a safe range of set tension is studied. Numerical examples are computed for material and machine parameters typical of paper and printing presses. The results suggest that tension variations may significantly affect the pressroom runnability.

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“…They are ν = 0.3, E = 10 9 Pa, m = 0.08 kg/m 2 , h = 10 −4 m, = 0.1 m, 2b = 10 m, and β = 1.12. Paper material properties have been measured by, e.g., Seth and Page (1974), and Yokoyama and Nakai (2007).…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…Linear elastic fracture mechanics was first applied to paper materials by Seth and Page (1974), who measured fracture toughness for different paper materials. Swinehart and Broek (1995) determined the fracture toughness of paper using both the stress intensity factor and the strain energy release rate.…”

Section: Introductionmentioning

confidence: 99%

Optimization and Analysis of Processes with Moving Materials Subjected to Fatigue Fracture and Instability

Баничук

Kurki

Neittaanmäki

et al. 2013

Mechanics Based Design of Structures and Machines

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We study safe conditions and process effectiveness of systems of moving materials from the viewpoint of failures including fracture and loss of stability. The web is modelled as a thin elastic plate made of brittle material, travelling between a system of supports at a constant velocity, and subjected to bending, in-plane tension and small initial cracks. We study crack growth under cyclic in-plane tension and transverse buckling of the web analytically. We seek optimal in-plane tension that maximizes a performance vector function consisting of the number of cycles before fracture, the critical velocity and process effectiveness. The present way of applying optimization in the studies of fracture and stability is new and affords an analytical tool for process analysis techniques.

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Fracture resistance of paper

Cited by 44 publications

References 11 publications

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

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

On reliability of systems with moving material subjected to fracture and instability

Optimization and Analysis of Processes with Moving Materials Subjected to Fatigue Fracture and Instability

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