PSI - Issue 2_B

ScienceDirect Available online at www.sciencedirect.com Av ilable o line at ww.sciencedire t.com cienceDirect Structural Integrity Procedia 00 (2016) 000 – 000 Procedia Struc ural Integrity 2 (2016) 2397–24 4 Available online at www.sciencedirect.com Sci nceDirect Structural Integrity Procedia 00 (2016) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2016) 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. 21st European Conference on Fracture, ECF21, 20-24 June 2016, Catania, Italy Loadi g hist ry nd structure of fract re of material R. V. Goldstein, N. M. Osipenko IPMech RAS, Prospect Vernadskogo 101-1, Moscow, 119526, Russia Abstract The bearing capacity of the structured materials and features of their fracture depend on local reaction of elements of structure on loading history. The initial structure of material can be modified in the course of prefracture at the initial stage of loading such that at further deformation, including deformation with the changed ratio of loadings on axes, this induced structure determines the scenario of fracture of material and its strength. The effective strength of heterogeneous materials and scenarios of their fracture are influenced by the level of the intermediate main stress. At compression of a cracked body lack of significant reaction to stresses along the sliding plane is characteristic for initial microcracks (areas of sliding). In a porous body such effect is absent. Therefore at tests with the proportional mode of loading according to the Karman or B ö ker schemes the effective measured strength can differ. To estimate an influence of a type of initial structural elements – pores and microcracks - on a final phase of fracture at uniaxial compression within a plane problem, an approach based on their equivalence to action of some concentrated forces is used. If the main crack is formed by joining a system of microcracks – the sliding areas, the movement on which causes the wedging forces, then weakening of the action in the process of the main crack growth is small. In case of a porous structure an influence of pores, remote from the crack tip, on the effective stress intensity factor K I in the process of crack sizes increasing weakens much faster. Therefore in a porous body development of echelons of rather short cracks joining small number of pores ( N ~ 2-3) is energetically preferable, while occurring of the main cracks is characteristic for a cracked body at a final stage of fracture at compression. For a body with microcracks in which after coalescence of cracks from two and more concentrators the stress intensity factors for the formed defect become larger than it was at the moment of microcracks coalescence, the choice of the fracture scenario – development of the main fault occurs at the initial stage of fracture. In the porous body, forming the cracks with an influence of pores, favorable conditions for initiation of fracture in the new source of fracture at the small size of cracks are only created near the crack tips. The induced structure of fracture arising at partial unloading also influences the fracture mechanism at the subsequent loading. Development of a system of the feathering of cracks in the vicinity of the main fault also belongs to such structures. The last can be used as a method for the main crack arresting. © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of ECF21. 21st European Conference on Fracture, ECF21, 20-24 June 2016, Catania, Italy Loading history and structure of fracture of material R. V. Goldstein, N. M. Osipenko IPMech RAS, Prospect Vernadskogo 101-1, Moscow, 119526, Russia Abstract The bearing capacity of the structured materials and features of their fracture depend on local reaction of elements of structure on loadi g history. The i itial structure of materi l can be modifie in the course of prefra tur at the initial stage loading such th t at furthe deformation, including deformation with the changed ratio f loadings on axes, this induced structure determines the scenario of fracture of material a d its st ength. The effective strength f heterogeneous materials and scenarios of thei fracture are i fluenced by the level of the intermediate main str ss. At compression of a cracked body lack of significant reaction to stresses a ong the sliding plane is characteristic for in tial microcra ks (ar as of sliding). In a p rous body uch effec is abse t. Th refore at tests w th the proportion l mode of load ng ac rding to the Karman or B ö ker schemes the eff ctive me sured strength can differ. To estimate an influence of a type of initial structural elements – pores and microcracks - on a final phase of fracture at uniaxial compression within a plane probl m, a approa h b s d on their equiv lence to action of some concentrated forces is sed. If the main crack is formed by j ining a system of microcracks – the sliding areas, the movement which causes the w ging forces, then weakening of the act on in the process of the main crack growth is mall. In case of a porous structure an influe ce f pores, remote from the crack tip, on the effective s r ss intensity factor K I in the proces of crack sizes in reasing weak s much fa ter. Th ref re in a porous body dev lopment of echelo of r ther short cracks joining sm ll number of pores ( N ~ 2-3) is energetically pref rable, while occurring of the main cracks is characteristic for a cracked body at a final stage of fracture at comp ess on. Fo a body wit microcracks in w ich after coalescence of cracks from two and more concentrators the stress intensity factors for the formed defect be ome larger than i was t th moment of microcracks coalesc n e, the ch ice of th fracture scen ri – development of the main fault occurs at the initial stage of fracture. In the porous body, forming cr cks with an influence of pores, favo ble conditions for initiation of fracture in the new source of fracture at the small size of are only created near the crack tips. The induced st ucture f fracture a is g at partial nloading also influences the fracture mechanism at the subs quent lo ding. Development of a system o the feather of cracks i the vicinity o the main fault also b longs to suc tructures. The last can be used as a method for the main crack a resting. © 2016 The Authors. Published by Elsevier B.V. Peer-review under espons bility of the Scientific Committee of ECF21. Copyright © 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Peer-review under responsibility of the Scientific Committee of ECF21. © 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.

Keywords: crack, structure, compression, porous body, cracked body, fracture, loading, history Keywords: crack, structure, compression, porous body, cracked body, fracture, loading, history

* Corresponding author. Tel.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt 2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review und r responsibility of the Scientific Committee of ECF21. 2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer review under r sponsibility of the Scientific Committee of ECF21.

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. Copyright © 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ ). Peer review under responsibility of the Scientific Committee of ECF21. 10.1016/j.prostr.2016.06.300

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