PSI - Issue 6

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 Structu al Integrity 6 (2017) 182–189 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2017) 000 – 000 Available online at www.sciencedirect.com ScienceDirect Structural Integrity Procedia 00 (2017) 000 – 000

www.elsevier.com/locate/procedia www.elsevier.com/locate/procedia

www.elsevier.com/locate/procedia

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. XXVII International Conference “Mathematical and Computer Simulations in Mechanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) Solution of Multipoint Boundary Problem of Two-Dimensional Theory of Elasticity Based on Combined Application of Finite Element Method and Discrete-Continual Finite Element Method Pavel A. Akimov a,b,c, *, Oleg A. Negrozov c,d a Scientific Research Center “ StaDyO ” , office 810, 8 floor, 18, 3-rd Yamskogo Polya Street, Moscow, 125040, Russia b Research Institute of Building Physics of the Russian Academy of Architecture and Construction Sciences, 21 Lokomotivniy Proezd, Moscow, 127238, Russia c Russian Academy of Architecture and Construction Sciences, 24, Bolshaya Dmitrovka Street, Moscow, 107031, Russia d National Research Mos ow State Un versity of Civil Engineeri g, 26, Yaroslavskoe Sho se, Moscow, 129337, Russia The distinctive paper is devoted to solution of multipoint boundary problem of two-dimensional theory of elasticity (static analysis of two-dimensional structure) based on combined application of finite element method (FEM) and discrete-continual finite element method (DCFEM). The given domain, occupied by considering structure, is embordered by extended one. The field of application of DCFEM comprises fragments of structure (subdomains) with regular (constant or piecewise constant) physical and geometrical parameters in some dimension (“basic” dimension). DCFEM presupposes finite element mesh approximation for non-basic dimension of extended domain while in the basic dimension problem remains continual. Analytical solution for such typical subdomain is apparently preferable in all aspects for qualitative analysis of calculation data. It allows investigator to consider boundary effects when some components of solution are rapidly varying functions. Due to the abrupt decrease inside of mesh elements in many cases their rate of change can’t be ade quately considered by conventional numerical methods while analytics enables study. FEM is used for approximation of all other subdomains. Discrete (within FEM) and discrete-continual (within DCFEM) approximation models for subdomains and coupled multilevel approximation model for extended domain are under consideration. Generally, discrete-continual formulations are contemporary mathematical models which currently becoming available for computer realization. Brief information about software systems and verification samples are presented as well. XXVII International Conference “Mathematical and Computer Simulations in Mechanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) Solution of ultipoint Boundary Proble of T o- i ensional Theory of Elasticity Based on Co bined pplication of Finite Element Method and Discrete-Continual Finite Ele ent ethod Pavel A. Akimov a,b,c, *, Oleg A. Negrozov c,d a Scientific Research Center “ StaDyO ” , office 810, 8 floor, 18, 3-rd Yamskogo Polya Street, Moscow, 125040, Russia b Research Institute of Buildi Physics of th Russian Academy of Architecture and Constructi n Sciences, 21 Lokomotivniy Proezd, Moscow, 127238, Russia c Russian Academy of Architecture and Construction Sciences, 24, Bolshaya Dmitrovka Street, Mosc w, 107031, Russia d National Research Moscow State University of Civil Engineering, 26, Yaroslavskoe Shosse, Moscow, 129337, Russia Abstract The distinctive paper is devoted to solution of multipoint boundary problem of two-dimensional theory of elasticity (static analysis of two-dimensional structure) based on combined application of finite element method (FEM) and discrete-continual finite element method (DCFEM). The given domain, occupied by considering structure, is embordered by extended one. The field of application of DCFEM comprises fragments of structure (subdomains) with regular (constant or piecewise constant) physical and geometrical parameters in some dimension (“basic” dimension). DCFEM presupposes finite el ment mesh approximation for non-basic dimension of extended domain while in the basic dimension problem remains continual. Analytical solution for such typical subdomain is apparently prefer ble in all aspects for qualitative analysis of calculation data. It allo s investigator to consider boundary ffects wh n some components of solution are rapidly varying functions. Due to the abrupt decrease inside f mesh elements in many cases their rate of ch ge can’t be ade quately considered by conventional numerical methods while analytics enables study. FEM is used for approximation of all other subdomains. Discrete (within FEM) and discrete-continual (within DCFEM) approximation models for subdomains and coupled multilevel approximation model for extended domain are under consideration. Generally, discrete-continual formulations are contemporary mathematical models which currently becoming available for computer realization. Brief information about software systems and verification samples are presented as well. © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. Abstract

Keywords: High Pressure Turbine Blade; Creep; Finite Element Method; 3D Model; Simulation. Copyright © 2017 Th A thors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. © 2017 The Authors. Pu lished by Elsevier B.V. © 2017 The Authors. Published by Elsevier B.V.

* Corresponding author. Tel.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt 2452-3216 © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 2452-3216 © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. * Corresponding author. Tel.: +7-495-625-7163; fax: +7-495-650-25-26. E-mail address: pavel.akimov@gmail.com * Corresponding author. Tel.: +7-495-625-7163; fax: +7-495-650-25-26. E-mail address: pavel.akimov@gmail.com

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016.

2452-3216 Copyright  2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. 10.1016/j.prostr.2017.11.028