2022
DOI: 10.1016/j.ijpvp.2022.104663
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Review on lifetime predictions of polyethylene pipes: Limitations and trends

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Cited by 28 publications
(15 citation statements)
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“…Equations ( 8) and ( 9) are ordinary differential equations involving the unknown function σ v (t) and its derivatives with respect to time t. Matlab was applied to solve these ordinary differential equations. To solve these ordinary differential equations using Matlab, function "Ode15i" in Matlab was used to determine these four parameters in the Parallel model, based on Equation (8), as this equation is a fully implicit differential equation which can be solved using "Ode15i" [45]. For the Series model, on the other hand, the four parameters were determined using the function "Ode45" in Matlab, as this function is designed to solve a nonstiff differential equation like Equation ( 9) [46].…”
Section: Case Study 1: Comparison Of Three Models Depicted Abovementioning
confidence: 99%
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“…Equations ( 8) and ( 9) are ordinary differential equations involving the unknown function σ v (t) and its derivatives with respect to time t. Matlab was applied to solve these ordinary differential equations. To solve these ordinary differential equations using Matlab, function "Ode15i" in Matlab was used to determine these four parameters in the Parallel model, based on Equation (8), as this equation is a fully implicit differential equation which can be solved using "Ode15i" [45]. For the Series model, on the other hand, the four parameters were determined using the function "Ode45" in Matlab, as this function is designed to solve a nonstiff differential equation like Equation ( 9) [46].…”
Section: Case Study 1: Comparison Of Three Models Depicted Abovementioning
confidence: 99%
“…Equation ( 8) was used for the simulation of relaxation phase and the last three data points in the loading phase before the relaxation phase. Equation (8) was first applied to fit the relaxation phase, to determine values for E v . δ 0E,1 , E v .…”
Section: Case Study 2: Determination Of Activation Energies For the E...mentioning
confidence: 99%
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“…The lifetime assessment and predictions of the long-term response of these materials under creep and fatigue conditions have attracted noticeable attention in the past few decades [ 1 , 2 , 3 , 4 ]. These issues are of essential importance for polyethylene pipes, whose failure is driven by the viscoplastic flow and damage accumulation in both the amorphous and crystalline phases [ 5 , 6 , 7 ].…”
Section: Introductionmentioning
confidence: 99%
“…(i) They are valid at the first stage of creep only (before changes in microstructure driven by slow growth of microcracks become noticeable [ 7 ]).…”
Section: Introductionmentioning
confidence: 99%