Simple Beam Model to Estimate Leakage in Longitudinally Cracked Pressurized Pipes

Miranda, Stefano de; Molari, Luisa; Scalet, Giulia; Ubertini, Francesco

doi:10.1061/(asce)st.1943-541x.0000535

Cited by 11 publications

(10 citation statements)

References 13 publications

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“…Accurate definitions of the boundary conditions are critical to the validity of the numerical simulations, including both the fixed boundary conditions defining the degree of freedom of a given model and the variable boundary conditions (e.g., the applied loadings). Methods to simulate the pressure loading due to hydraulic conditions are well practiced (Rahman et al 1998;Cassa and van Zyl 2008;De Miranda et al 2012). However, there is still uncertainty regarding the magnitude and hence the significance of the slit face loading for a given leak.…”

Section: Numerical Studiesmentioning

confidence: 99%

Derivation and Validation of a Leakage Model for Longitudinal Slits in Polyethylene Pipes

2018

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Although we do not understand the complex behavior of leaks in thick-walled plastic pipes, the ability to model them is essential to the assessment and mitigation of the real losses from drinking water-distribution systems. A methodology was followed whereby numerical and physical experimental data were used to develop a generalized model that quantified both the structural and leak dynamics of longitudinal slits in thick-walled viscoelastic pipes. The dimensionally homogeneous time-and pressure-dependent leakage model was validated using experimental data independent from the physical observations used for the viscoelastic calibration. This was shown to be an effective tool to predict the distinct short-and long-term responses. Such accurate models, which describe the characteristic response of complex leaks, are crucial in improving the understanding of leakage behavior and management.

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Section: Numerical Studiesmentioning

confidence: 99%

Derivation and Validation of a Leakage Model for Longitudinal Slits in Polyethylene Pipes

2018

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“…With these assumptions, following standard procedures, the discrete equilibrium equations are derived:  KU P (7) with:…”

Section: Finite Element Discretizationmentioning

confidence: 99%

“…This approach leads to closed-form estimation of the ultimate strength of tile-substrate adhesive joint. More recently the use of simplified beam model with elastic constraints has been successfully applied also for the estimation of crack opening area in longitudinally cracked pipes [7,8]. In the present paper, a simple beam model is developed to evaluate the stress state of tiled floors subjected to debonding due to substrate shrinkage.…”

Section: Introductionmentioning

confidence: 99%

A simple beam model to analyse the durability of adhesively bonded tile floorings in presence of shrinkage

Miranda¹,

Palermo²,

Ubertini³

2014

Frattura Ed Integrità Strutturale

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A simple beam model for the evaluation of tile debonding due to substrate shrinkage is presented. The tile-adhesive-substrate package is modeled as an Euler-Bernoulli beam laying on a two-layer elastic foundation. An effective discrete model for inter-tile grouting is introduced with the aim of modelling workmanship defects due to partial filled groutings. The model is validated using the results of a 2D FE model. Different defect configurations and adhesive typologies are analysed, focusing the attention on the prediction of normal stresses in the adhesive layer under the assumption of Mode I failure of the adhesive.

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“…This table shows a wide parameter range for ee, even for the same material and failure mode. In several recent studies, the behaviour of elastically deforming leaks was investigated in detail with the purpose to derive equations, which allow estimating the emitter exponents and coefficients under different boundary conditions (Cassa et al, 2010;de Miranda et al, 2012, Franchini & Lanza, 2014van Zyl & Cassa, 2014). Therefore, Cassa et al (2010) expressed leakage outflow in context to the FAVAD as follows…”

Section: Introductionmentioning

confidence: 99%

“…The analyses so far were made for several materials, leak sizes and failure modes, whereas a general formulation of w 0 Q is still missing. de Miranda et al (2012) introduced a method, where leakage outflow of elastically deforming leakage is estimated on the basis of a simple beam model. However, the investigated failure modes are restricted to smaller diameters and holes.…”

Section: Introductionmentioning

confidence: 99%

Systematic material and crack type specific pipe burst outflow simulations by means of EPANET2

Fuchs-Hanusch

Steffelbauer

Günther

et al. 2015

Urban Water Journal

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The calculation of outflow from pipe bursts is of interest for water utilities, as the discharged water may cause large amounts of damage to the adjacent infrastructure. Therefore, the crack type specific relationship between leakage outflow and pressure is of interest. Recent findings offer new opportunities for burst outflow calculations with hydraulic models. In this paper, we compare two calculation approaches according to uncertainties caused by input parameters and give recommendations for the applicability of the methods. Simulations in a case study area have shown large leakage outflow differences between the two approaches for longitudinal cracks. For circumferential cracks, the differences are smaller. Further, due to the uncertain leak size and form of probable bursts we involved Monte Carlo simulations in the model approach. These allow the derivation of mean values and standard deviations of leakage outflow per pipe section to make the uncertainty of the results more transparent.

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Simple Beam Model to Estimate Leakage in Longitudinally Cracked Pressurized Pipes

Cited by 11 publications

References 13 publications

Derivation and Validation of a Leakage Model for Longitudinal Slits in Polyethylene Pipes

Derivation and Validation of a Leakage Model for Longitudinal Slits in Polyethylene Pipes

A simple beam model to analyse the durability of adhesively bonded tile floorings in presence of shrinkage

Systematic material and crack type specific pipe burst outflow simulations by means of EPANET2

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