PSI - Issue 6

ScienceDirect Available online at www.sciencedirect.com Av ilable o line at www.sciencedire t.com ScienceDirect Structural Integrity Procedia 00 (2016) 000 – 000 Procedia Structu al Integrity 6 (2017) 276–282 Available online at www.sciencedirect.com ScienceDirect St ructural Integrity Procedia 00 (2017) 000 – 000 Available online at www.sciencedirect.com ScienceDirect St ructural Integrity Procedia 00 (2017) 000 – 000

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

www.elsevier.com/locate/procedia

XV Portuguese Conference on Fracture, PCF 2016, 10-12 February 2016, Paço de Arcos, Portugal Thermo-mechanical modeling of a high pressure turbine blade of an airplane gas turbine engine P. Brandão a , V. Infante b , A.M. Deus c * a Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal b IDMEC, Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal c CeFEMA, Department of Mechanical Engineering, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1, 1049-001 Lisboa, Portugal Abstract During their operation, modern aircraft engine components are subjected to increasingly demanding operating conditions, especially the high pressure turbine (HPT) blades. Such conditions cause these parts to undergo different types of time-dependent degradation, one of which is creep. A model using the finite element method (FEM) was developed, in order to be able to predict the creep behaviour of HPT blades. Flight data records (FDR) for a specific aircraft, provided by a commercial aviation company, were used to obtain thermal and mechanical data for three different flight cycles. In order to create the 3D model needed for the FEM analysis, a HPT blade scrap was scanned, and its chemical composition and material properties were obtained. The data that was gathered was fed into the FEM model and different simulations were run, first with a simplified 3D rectangular block shape, in order to better establish the model, and then with the real 3D mesh obtained from the blade scrap. The overall expected behaviour in terms of displacement was observed, in particular at the trailing edge of the blade. Therefore such a model can be useful in the goal of predicting turbine blade life, given a set of FDR data. Copyright © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility f the MCM 2017 organizers. XXVII International Conference “Mathematical and Computer Simulations in Mechanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) Magistral and fractal regimes of the hydro-fracturing Paderin Grigory a , Shel Egor b * a Leading specialist, Gazpromneft-NTC, Saint-Petersburg 190000, Russian Federation b Leading specialist, Gazpromneft-NTC, Saint-Petersburg 190000, Russian Federation Abstract The paper describes the specific difference between two fracture growth regimes, when it forms the radial fracture network (fractal regime) and when it forms one big fracture in certa in direction (magistral reg ime). A continuum model is used, which represents the fracture network in the med ia with the permeability tensor, rapidly increasing with the fracture appearance. The fracture front instability is shown, linked with the Saffman -Taylor instability, even in isotropic case. By analogy with Saffman -Taylor instability in porous media, the fractal nature of the fracture network is derived. The dimensionless parameters of fracture front speed and anisotropy are found, which would help to numerical and experimental modeling of the reservoir. © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of theMCM 2017 organizers. Keywords: geomechanics; ydro fracturing; Saffman-Taylor instability; piezoconductivity; fractals; fracture network; tensile st rength; st imulated volume 1. Introduction Hydrofracturing is one of the main methods to increase oil and gas production in the petroleum industry. Hydraulic fracturing of the reservoir was especially important in the extraction of non -tradit ional reserves, such as shale gas and shale oil. In this applicat ion, hydraulic fracturing, ideally, should not only enhance the production rate, but also enlarge the total amount of hydrocarbon production. In this regard, it is commonly believed that during fracturing in non-traditional reservoirs, a branched network o f cracks is formed, which spreads in all directions from the well and occupies a certain volume, call d the stimulated volume. This assumption oppose to the assumptions XXVII International Conference “Mathematical and Computer Simulations in echanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) Magistral and fractal regimes of the hydro-fracturing Paderin Grigory a , Shel Egor b * a e a e b Leading specialist, Gazpromneft-NTC, Saint-Petersburg 190000, Russian Federation Abstract The paper describes th specific difference between two fracture g owth regimes, when it forms the radial fract re network (fractal regim ) and when it forms one big fracture in certa in dir ction (magistral reg ime). A continuum model is used, which represents the fracture network in the med ia with the perm ability tensor, rapidly increasing with the fracture appe rance. The fracture front instability is shown, linked with the Saf man -Taylor instability, even in is tropic case. By analogy with Saffman -Taylor instability in porous me i , the fract l nat re of the fract re n twork is derived. The dimensionless parameters of fracture front speed and anisotropy are found, which would help to numerical and experimental modeling of the reservoir. © 2017 The Autho s. Publ shed by Elsevier B.V. Peer-review under responsibility of theMCM 2017 organizers. Keywords: geomechanics; hydro fracturing; Saffman-Taylor instability; piezoconductivity; fractals; fracture network; tensile st rength; st imulated volume 1. In rod ction Hydrofracturing is one of the main methods to increase oil and gas production in the petroleum industry. Hydraulic fracturing of the reservoir was especially important in the extraction f non -tradit ional reserves, such as shale gas and shale oil. In this applicat ion, hydraulic fracturing, ideally, should not only enhance the production rate, but also enlarge the total amount of hydrocarbon producti n. In this regard, it is commonly believed that during fracturing in non-traditional reservoirs, a branch d network o f cracks is formed, which spreads in all directions from the well and occupies a certain volume, called the stimulated volume. This assumption oppose to the assumptions © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. Keywords: High Pressure Turbine Blade; Creep; Finite Element Method; 3D Model; Simulation.

* * Corresponding author. Tel.: +7-911-170-4549. E-mail address: Shel.EV@gazpromneft-ntc.ru * * Corresponding author. Tel.: +7-911-170-4549. E-mail address: Shel.EV@gazpromneft-ntc.ru

* Corresponding author. Tel.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt 2452-3216 ©2017TheAuthors. Published by Elsevier B.V. Peer-review under responsibility of theMCM 2017 organizers. 2452-3216 ©2017TheAuthors. Published by Elsevier B.V. Peer-review under responsibility of theMCM 2017 organizers.

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016.

2452-3216 Copyright  2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 10.1016/j.prostr.2017.11.042