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 P o edi Structural Integr ty 6 (2017) 48–55 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2017) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2017) 000 – 000

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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 of 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) Modelling the general corrosion of a steel tube under its own weight Irina Stareva a , Yulia Pronina a * a Department of Computational Methods in Continuum Mechanics, Saint Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199034, Russia Abstract A vertically standing or hanging long initially cylindrical tube is considered subjected to mechanochemical corrosion under its own weight. The corrosion rate is supposed to be a linear function of mechanical stress. The problem is reduced to a system of differential and integral equations that are solved numerically. It is clear that the own weight of the tube gives a rather small increase in the corrosion rate for relatively short tubes. The following questions arise. At what length of the tube do we need to take into account its own weight for the life assessment? Is there any simple approach to this consideration? These questions are investigated in the present paper. © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. Keywords: Mechanochemical corrosion; pipe; own weight; lifetime. 1. Introduction Corrosion causes irr parabl damag s of industrial and building struc ures nd lead t reduction of their urability. General corrosion depending on mechanical stresses is known as mechanochemical corrosion. Di ff erent approaches to the description of the relations between chemical reactions and the stress state of a material have been developed by E.M. Gutman (1994), P.A. Pavlov et al. (1987), A.I. Rusanov (2016), A.B. Freidin et al. (2014) and others. However, the key points in this description still remain on the empirical rather than theoretical level (Freidin (2015)). For this reason, in practice the empirical linear dependence of corrosion rate on stress proposed by F.F. Azhogin and V.M. Dolinskii (1967) is often applied. XXVII International Conference “Mathematical and Computer Simulations in echanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) Modelling the g neral corrosion of a steel tu e under its own weight Irina Stareva a , Yulia Pronina a * a Department of Computational Methods in Continuum Mechanics, Saint Petersburg State University, Universitetskaya nab. 7/9, St. Petersburg, 199034, Russia Abstract A vertically standing or hanging l ng initially cylindrical tube is considered subjected to mechanochemical corrosion un er its own weight. The corrosion rate is suppos to be a linear function of mechanical stress. The problem is reduced to a system of diff rential and integral equations that are solved numerically. It is clear that th own weight of the tube gives a rather small increase in the corrosion rate for relatively short tubes. The following questions arise. At what length f the tube do we eed to take into account its own weight for the life assessment? Is there any simple approach to this consideration? These questions are investigated in the present paper. © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. Keywords: Mechanochemical corrosion; pipe; own weight; lifetime. 1. Introduction Corrosion auses irreparabl damages of industri l and buildi g structu es and leads to reduction of their durability. Genera orrosion depending on m chanical stresses is known as mechanochemical corrosion. Di ff erent approaches to the description of the relations between chemical reactions and the stress state of a material have been developed by E.M. Gutman (1994), P.A. Pavlov et al. (1987), A.I. Rusanov (2016), A.B. Freidin et al. (2014) and others. However, the key points in this description still remain on the empirical rather than theoretical level (Freidin (2015)). For this reason, in practice the empirical linear dependence of corrosion rate on stress proposed by F.F. Azhogin and V.M. Dolinskii (1967) is often applied. © 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.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt 2452 3216 © 2017 Th Authors. Publi shed by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 2452-3216 © 2017 The Authors. Publi shed by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. * Correspon ing author. Tel.: +7-812-428-44-92; fax: +7-812-428-71-59. E-mail address: y.pronina@spbu.ru * Corresponding author. Tel.: +7-812-428-44-92; fax: +7-812-428-71-59. E-mail address: y.pronina@spbu.ru

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.2017.11.008