PSI - Issue 13

ScienceDirect Available online at www.sciencedirect.com Av ilable o line at ww.sciencedire t.com ScienceDirect Structural Integrity Procedia 00 (2016) 000 – 000 Procedia Structural Integrity 13 (2018) 139 –1395 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. ECF22 - Loading and Environmental effects on Structural Integrity Numerical and analytical modeling of crack path for three dimensional mixed mode crack problem using global approach S. El Kabir a *, F. Dubois a , R. M utou Pitti b , N. Recho c , Y. Lapusta d a GC2D Laboratory, Limoges University, Civil Enginering Center, Egletons 19300, France b Université Clermont Auvergne, CNRS, Institut Pascal, Clermont-Ferrand F-63000, France c Université Clermont Auvergne, Institut Pascal, BP 10448, Clermont-Ferrand 63000, France d SIGMA Engineering school, Institut Pascal, 63171 Aubièr , France Civil ngineering and mechanic l structures a e usually submitted to mixed mode lo ing. Consequently, a mixed mode crack path process occurs. In three-dimensional crack problem, the study f this problem is very important due to multiple problems that require more understanding of the corner point effect and the local effect due to the torsion mode (mode III) and also due to the necessity to take into account thickness effect. In order to study the mixed mode loading for three-dimensional crack problem, a new three-dimensional contour integral entitled M3D integral is modeled using global approach. Combining real and virtual mechanical displacement fields, this new integral is used to separate numerically mode I, mode II and mode III in the mixed mode ratio. In earlier research works, Moutou Pitti et al [1] have proposed a new specimen called Mixed Mode Crack Growth (MMCG), and El kabir et al [2] have studied numerically the stability of this specimen for various geometries in two-dimensional case. This work deals with numerical and analytical modeling to study the crack path stability in real three-dimensional case for mixed mode crack problem. Using MMCG specimen, the non-dependence of integration domain is presented, and the stability of the calculation of M3D Integral with respect to various geometries and thicknesses is shown for the opening mode (Mode I), the shear mode (Mode II), the out-of-plan shear mode (Mode III) and also for the mixed mode ratio by computing the energy release rate versus the crack length. Finally, the analytical generalization of the M3D-integral is done. That will allow to take into account the mixed-mode crack growth analysis coupling mechanical and thermal loads. ECF22 - Loading and Environmental effects on Structural Integrity Numerical and analytical modeling of crack path for three dimensional mixed mode crack problem using global approach S. El Kabir a *, F. Dubois a , R. Moutou Pitti b , N. Recho c , Y. Lapusta d a GC2D Laboratory, Limoges University, Civil Enginering Center, Egletons 19300, France b Université Clermont Auvergne, CNRS, Inst tut Pascal, Clermont-Ferrand F-630 , r c niversité Cler ont Auvergne, Institut Pa cal, BP 10448, Clermont-Ferrand 63 0, France d SIGMA Engineering chool, Institut ascal, 63171 Aubièr , France Abstract Civil engineering and mechanical structures are usually submitted to mixed mode loading. Consequently, a mixed mode crack path process occurs. In hree-dim nsional crack problem, the study of this problem is very important due to ultiple problems that require more understanding of the corner point effect and the local effect du to the torsion mode (mode III) and als due to the necessity to take into account thickness effect. In order to study the mixed mode loading for three-dimension l cr ck problem, a w three-dimensional ntour integral entitled M3D integral is modeled using global approach. Combining eal and virtual mechanical displacement fields, this new i tegral is used to separate numerically mode I, mode II and mode III in the mixed mode ratio. I e rlier research works, Moutou Pitti et al [1] have proposed a new specimen called Mixed Mode Crack Growth (MMCG), and El kabir t al [2] have studied numerically the stability of this specimen for various geometries in two-dimensional case. This work de ls with numerical and analytical modeling to study the crack path stability in real three-dimensional case f r mixed mode crack problem. Using MMCG specimen, the non-dependence of integration domain is presented, and the stability of the calculation of M3D Int gral with respect to various geometries and thicknesses is shown for the opening mode (Mode I), the shear mode (Mode II), the out- f-plan shear mode (Mode III) and also for the mixed mode ratio by co puting the energy release rate versus the crack length. Finally, the nalytic l generalizatio of the M3D-integral is done. That will allow to take into account t mixed-mode crack growth analysis coupling m chanical and thermal loads. © 2018 The Authors. Published by Els v er B.V. Peer-review under responsibility of the ECF22 organizers. © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsi lity of the ECF22 organizers. Keywords: Crack path; MMCG specimen; 3D fracture; M_3D integral; energy release rate; mixed mode. © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ECF22 organizers. Keywo ds: Crack path; MMCG specimen; 3D fracture; M_3D integral; energy release rate; mixed mode. Abstract

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 © 2018 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the ECF22 organizers. 2452-3216 © 2018 The Authors. Published by Elsevier B.V. Peer review under r sponsibility of the ECF22 o ganizers. * Corresponding author. Tel.: +33-613-978-280; fax: +0-000-000-0000 . E-mail address: soliman.el-kabir@unilim.fr * Corresponding author. Tel.: +33-613-978-280; fax: +0-000-000-0000 . E-mail ad ress: soliman.el-kabir@unilim.fr

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 ECF22 organizers. 10.1016/j.prostr.2018.12.290