PSI - Issue 6

ScienceDirect Available online at www.sciencedirect.com Available o line at www.sciencedire t.com ienceDirect Structural Integrity Procedia 00 (2016) 000 – 000 Procedia Structu al Integrity 6 (2017) 115–121 Available online at www.sciencedirect.com ScienceDirect StructuralIntegrity Procedia 00 (2017) 000–000 Available online at www.sciencedirect.com ScienceDirect StructuralIntegrity Procedia 00 (2017) 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. 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) Generalized force method on the example of plane geometrically nonlinear problem Meleshko V.A. Saint-Petersburg State University of Architecture and Civil Engineering, 2-ya Krasnoarmeiskaya st., 4 Saint-Petersburg , 190005, Russia Abstract Based on the analytical expression for stiffness of the cross section, together with the developed force method, developed the numerical algorithm and computation program in MathCad to determine the elasto-plastic deformation. The calculation of the plane rod systems subject to large displac me ts is mplem nted. A comparison of the received results with the finite element method using Ansys software is performed. © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. Keywords: generalized flexibility method; integral function of state law of section; tangent stiffness; elastoplastic deformation, large displacement, Mor’s formula, geometric nonlinearity . 1. Introduction In mode n engineering practice quite often it is necessary to solve t e problems connected with ovement , big in comparison with the des gn sizes. Now it is possible to carry out the nonlinear analysis only using powerful computer programs which are based on application of FEM. In this work elasto-plastic calculation of rod systems taking into account geometrical nonlinearity is considered by the generalized force method (GFM). The efficiency of use (compulsory health insurance) for the solution of such tasks (in comparison with FEM) consists in sharp increase in high-speed performance and reduction of the used computer resources. In the developed method use of the computing scheme, explicit on time, and definitions on each step tangent rigidity system is supposed. Unlike the generalized method of forces, at the solution of elasto-plastic tasks on the basis of FEM on each temporary step it is necessary to solve the system of the algebraic equations which number is proportional to number of finite elements. At application of the generalized method of forces the number of preparatory operations increases, however the number of the algebraic equations on each step is equal only to number of indetermination of XXVII International Conference “Mathematical and Computer Simulations in echanics of Solids and Structures”. Fundamentals of Static and Dynamic Fracture (MCM 2017) Generalized force method on the example of plane geometrically nonlinear problem Meleshko V.A. Saint-Petersburg State University of Architecture and Civil Engineering, 2-ya Krasnoarmeiskaya st., 4 Saint-Petersburg , 190005, Russia Abstract Based on the analytical expression for stiffness of the cross section, toge r with the developed force method, developed num rical algorithm a d computation program in MathCad to determine the elasto-plasti deformation. The calculation of the plane rod system ubject to larg displacements is implemented. A comparison of the received results with the finite element method using Ansys software is performed. © 2017 The Autho s. Publ shed by Elsevier B.V. Peer-review under responsibility of the MCM 2017 organizers. Keywords: generalized flexibility hod; i tegr l function of state law of section; tangent stiffness; elastoplastic deformation, large displacement, Mor’s formula, geometric nonlinearity . 1. Introduction In modern engineering practice quite oft n it is neces ary to solve the probl ms connected with movem nts, big in c mparison with the d sign siz s. Now it is possibl to carry out the nonlinear analysis only using powerful computer pr gram which are based on application of FEM. In this work lasto-plastic calculation of rod systems taking into account g ometrical nonlinearity is considered by t e generalized fo ce method (GFM). The efficiency of use (compulsory health insurance) for the solution of such tasks (in comparison with FEM) consists in sharp increase i hig -sp ed performance and re uction of the used computer resources. In the develo ed method use of the computing scheme, explicit on time, and definitions on each step tang nt ri idity syste is supposed. Unlike th generaliz d meth d of force , at the solution of elasto-plastic tasks o the basi of FEM on each temporary step it is necessary t s lve the system of the algebraic equatio s which numbe is proportional to number of finit elements. At application of the neralized method of forces the number of preparato y operations increases, however the number of the algebraic equations on each step is equal only to number of indetermination of © 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© 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.

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.2017.11.018