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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) Analytical solution of elastic fields induced by a 2D inclusion of arbitrary polygonal shape Giulio Zuccaro a,b, ∗ , Salvatore Trotta a , Salvatore Sessa a , Francesco Marmo a , Luciano Rosati a,b a University of Naples Federico II, Department of Structures for Engineering and Architecture, Via Claudio 21, 80125 Naples, Italy b LUPT-PLINIVS Study Centre, Via Toledo 402, 80134 Naples, Italy Abstract We generalize a recent application of the equivalent inclusion method, Jin et al. (2011), to derive the elastic field induced by a constant eigenstrain applied to an elliptic inclusion whose boundary is approximated by a polygon, the number of sides being assigned so as to recover the analytical values of the entries of the Eshelby tensor. The generalization consists in the fact that displacements, strains, stresses and the Eshelby tensor can be given a unique expression, holding inside and outside the inclusion, thus avoiding the recourse to the derivation of distinct expressions, based upon di ff erent approaches, for the elastic fields. The proposed approach has been successfully applied to evaluate the elastic fields induced by an elliptical cavity in a linear isotropic infinite plate subjected to a remote loading by recovering the cla sical olutions by Inglis (1913) and Maugis (1992). Furthermore it can easily be applied to elliptical holes arbitrarily oriented with respect to t loading direction. c 2017 The Authors. Published by Elsevier B.V. r-review under responsibility of the CM 2017 organizers. Keywords: Nano-struc ures, Micro-m chanics, Inhomogeneity, shelby tensor, Equ valent inclusion method. XXVII International Conference “Mathematical and Computer Simulations in Mechanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) nalytical solution of elastic fields induced by a 2D inclusion of arbitrary polygonal shape Giulio Zuccaro a,b, ∗ , Salvatore Trotta a , Salvatore Sessa a , Francesco Marmo a , Luciano Rosati a,b a University of Naples Federico II, Department of Structures for Engineering and Architecture, Via Claudio 21, 80125 Naples, Italy b LUPT-PLINIVS Study Centre, Via Toledo 402, 80134 Naples, Italy Abstract We generalize a recent application of the equivalent inclusion method, Jin et al. (2011), to derive the elastic field induced by a constant eigenstrain applied to an elliptic inclusion whose boundary is approximated by a polygon, the number of sides being assigned so as to recover the analytical values of the entries of the Eshelby tensor. The generalization consists in the fact that displacements, strains, stresses and the Eshelby tensor can be given a unique expression, holding inside and outside the inclusion, thus avoiding the recourse to the derivation of distinct expressions, based upon di ff erent approaches, for the elastic fields. The proposed approach has been successfully applied to evaluate the elastic fields induced by an elliptical cavity in a linear isotropic infinite plate subjected to a remote loading by recovering the classical solutions by Inglis (1913) and Maugis (1992). Furthermore it can easily be applied to elliptical holes arbitrarily oriented with respect to the loading direction. c 2017 The Author . Published by Elsevier B.V. Peer-review und r responsibility of the MCM 2017 organizers. Keywords: Nano-structures, Micro-mechanics, Inhomogeneity, Eshelby tensor, Equivalent inclusion method. Keywords: High Pressure Turbine Blade; Creep; Finite Element Method; 3D Model; Simulation. In a celebrated pap r on the ellipsoidal inclusion, Eshelby (1957) considered an infinitely extended elastic medium containing an ellipsoidal subdomain subjected to a uniformly distributed stress-free transformation strain and proved that the resulting total strains and stresses inside the ellipsoidal inclusion were also uniform. The question of determining elastic fields outside an inclusion was addressed in a subsequent paper Eshelby (1959) in which Eshelby pointed out that the solution for the exterior elastic fields was more complicated and the correspond ing formulation tedious. In particular Eshelby pointed out that the displacements were continuous across the boundary of the inclusion while strain, stresses and the so-called Eshelby tensor were not. In a celebrated paper on the ellipsoidal inclusion, Eshelby (1957) considered an infinitely extended elastic medium containing an ellipsoidal subdomain subjected to a uniformly distributed stress-free transformation strain and proved that the resulting total strains and stresses inside the ellipsoidal inclusion were also uniform. The question of determining elastic fields outside an inclusion was addressed in a subsequent paper Eshelby (1959) in which Eshelby pointed out that the solution for the exterior elastic fields was more complicated and the correspond ing formulation tedious. In particular Eshelby pointed out that the displacements were continuous across the boundary of the inclusion while strain, stresses and the so-called Eshelby tensor were not. © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. 1. Introduction 1. Introduction

* Corresponding author. Tel.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt ∗ Corresponding author. Tel.: + 39-081-253-8925. E-mail address: zuccaro@unina.it ∗ Corresponding author. Tel.: + 39-081-253-8925. E-mail address: zuccaro@unina.it

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. 2210-7843 c 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 2210-7843 c 2017 The Author . Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 2452-3216 Copyright  2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 10.1016/j.prostr.2017.11.036