PSI - Issue 1

ScienceDirect Procedia Structural Integrity 1 (2016) 226–233 Available online at www.sciencedirect.com Av ilable o line at ww.sciencedire t.com ScienceDirect Structural Integ ity Procedia 00 (2016) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2016) 000 – 000 il l li t . i i t. tr t r l I t rit r i ( )

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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. XV Portuguese Conference on Fracture, PCF 2016, 10-12 February 2016, Paço de Arcos, Portugal A meshless method in the non-local constitutive damage models Behzad V. Farahani a , F.M. Andrade Pires a , P.M.G.P. Moreira b , J. Belinha a,b, * a Faculty of Engineering , University of Porto, Rua Dr.Roberto Frias, S/N, 4200-465 Porto - Portugal b Institute of Mechanical Engineering and Industrial Management, Rua Dr.Roberto Frias, S/N, 4200-465 Porto - Portugal Abstract The radial point interpolation method (RPIM), as an advanced dis retization approach, i used to analyze concrete structures assuming a non-linear continuum damage model. The theoretical basis of the material, damage characteristics and the computational procedure are presented. The elastic model is extended with a non-local damage formulation for compressive stress state from the Helmholtz free energy function in relation to the damage energy release. The predictive ability of the non local model will be compared with the local solution, which is inappropriate whenever strong strain softening is encountered. Due to the presence of damage, the Newton-Raphson non-linear algorithm is employed, creating a fictitious pseudo-time stepping scheme. The performance of the proposed model is verified with an experimental benchmark available in the literature. © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. Keywords: Non-local Damage Model; Radial Point Interpolation Method; Return-mapping Algorthim; Meshless method; Concerrte Stuctures. 1. Introduction Several demanding fields in computational mechanics are appropriate to study the non-linear standard damage solution of brittle materials using finite element method (FEM) formulations [See Oliver et al. (1990); Cervera et al. (1995); Cervera et al. (1996); Faria et al. (1998); Lee & Fenves (2001); He et al. (2006); Yu et al. (2008) and Voyiadjis and Taqieddin (2009)]. Researchers investigated the continuum damage mechanics theory varying , , a lt f i i , i it f t , . t i , / , - t - t l b I tit t f i l i i I t i l t, . t i , / , - t - t l i l i t i l ti t , i ti ti , t l t t t i li ti l. t ti l i t t i l, t i ti t t ti l t . l ti l i t it l l l ti i t t t t l lt ti i l ti t t l . i ti ilit t l l l ill it t l l l ti , i i i i t t t i t i i t . t t , t t li l it i l , creating a fictitious p ti t i . performance of the proposed model is verified with an experimental benchmark available in the literature. 16 h Authors. li l i . . Peer-review under responsi ility t i ti i itt . : -l l l; i l i t I t r l ti t ; t r - i l rt i ; l t ; rrt t t r . . i l i i l i t ti l i i t t t t li t l ti ittl t i l i i it l t t l ti li t l. ; t l. ; t l. ; i t l. ; ; t l. ; t l. Voyiadjis d Taqieddin (2009)]. Res i ti t the continuum i t i Copyright © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.o g/licenses/by-nc-nd/4.0/). Peer-review under sponsibility of the Sci ntific Committ e of PCF 2016. © 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 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. l i r . . i i ilit t i ti i itt . * Corresponding author. Tel.: +351 225081491/ 1571, Fax: +351 225081538. E-mail address: jorge.belinha@fe.up.pt i t r. l.: / , : . - il : j r . li f . . t - t r . li rr

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. Copyright © 2015 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 PCF 2016. 10.1016/j.prostr.2016.02.031