PSI- Issue 9

ScienceDirect Available online at www.sciencedirect.com Available online at www.sciencedire t.com ScienceDirect Structural Integrity Procedia 00 (2016) 000 – 000 Procedia Structu al Integrity 9 (2018) 136–15 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2018) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2018) 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. © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. IGF Workshop “ Fracture and Structural Integrity ” Ductile damage evolution under cyclic non-proportional loading paths Riccardo Fincato *,a , Seiichiro Tsutsumi a , Hideto Momii b a JWRI, Osaka University, 11-1 Mihogaoka, Ibaraki 5670047, Osaka, Japan b Nikken Engineering Corporation,4727-1 Kamitonno, Nogata 822-0003, Fukuoka, Japan Abstract The characterization of ductile damage evolution, and its description, have been the object of extensive research in the continuum damage mechanic field. Starting from the pioneering works of Lemaitre (1985), Gurson (1977), Rousselier (1987), many different models have been developed. In detail, the stress triaxiality and the Lode angle parameters have been identified as the two main variables that affect the material ductility. The literature offers a great number of investigations under monotonic loading conditions, however, a proper characterization of the damage evolution under cyclic loading or non-proportional loading is still missing. In this paper, an unconventional coupled elastoplastic and damage constitutive model with a Mohr-Coulomb failure criteri (Bai and Wierzbicki, 2010) is pres nted. The ductile damage evolution law is modified in order to consider the damage evolution under non-proportional loading onditions. The idea is to compare the damage evolution of a ste l bridge column subjected to th e different non-proportional loading p th in order to identify the loading condition that compromise the structural integrity. © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. Keywords: Ductile damage; elastoplasticity; non-proportional loading; IGF Workshop “ Fracture and Structural Integrity ” Ductile damage evolution under cyclic non-proportional loading paths Riccardo Fincato *,a , Seiichiro Tsutsumi a , Hideto Momii b a JWRI, Osaka University, 11-1 Mihogaoka, Ibaraki 5670047, Osaka, Japan b Nikken Engineering Corpo ation,4727-1 Kamitonno, Nogata 822-0003, Fukuok , Japan Abstract The characterization of ductile damage evolution, and its description, have been the object of extensive research in the continuum damage mechanic field. Starting from the pioneering works of Lemaitre (1985), Gurs n (1977), Rouss li r (1987), many different models have been d veloped. In detail, the str ss triaxiality and the Lode angle pa ameters have been identified as the two main variables that affect the material ductility. The literature offers a gr at numbe of investigations under monotonic l ading conditions, however, a proper characterization of th damage evolution under cyclic loading or n -proportional loading is still missing. In th s paper, an unconventional coupled elastoplastic and damage constitutive model with a Mohr-Coulomb failure criterion (Bai a d W erzbicki, 2010) s present d. Th ductile d mage evolution l w i modified in order to consi r the dam ge evolution under non- roportional loading conditions. The idea is to compare the damage evolution of a steel bri ge colu n subjected to thr e different non-pr p rtio al l a ng paths in order to identify the loa ing condition that compromise the structural int grity. © 2018 The Authors. Published by Elsevier B.V. Peer-review under espons bility of the Gruppo Italiano Frattura (IGF) ExCo. Keywords: Ductile damage; elastoplasticity; non-proportional loading;

1. Introduction

© 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. 1. Introduction

Keywords: High Pressure Turbine Blade; Creep; Finite Element Method; 3D Model; Simulation. In the recent years, many authors t i d to characterize the ductile behavior f metals by means of different types of numerical models (coupled elastoplastic and damage models, uncoupled models, phenomenological, etc.). The large In the recent years, many authors tried to characterize the ductile behavior of metals by means of different types of numerical models (coupled elastoplastic and d mage models, unc upled models, phenomenological, etc.). The large

* Corresponding author. Tel.: 81-6-6879-8667. E-mail address: fincato@jwri.osaka-u.ac.jp * Corresponding author. Tel.: 81-6-6879-8667. E-mail ad ress: fincato@jwri.osaka-u.ac.jp

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. 2452-3216  2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. 10.1016/j.prostr.2018.06.022 * Corresponding author. Tel.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt 2452-3216 © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Gruppo Italiano Frattura (IGF) ExCo. 2452-3216 © 2018 The Authors. Published by Elsevier B.V. Peer review under r sponsibility of the Gruppo Italiano Frattura (IGF) ExCo.