PSI - Issue 3

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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 Auth rs. Publis ed by Elsevier B.V. This is an open access article u der the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-n /4.0/). Peer-review und r responsibility of the Scientific Committee of IGF Ex-Co. XXIV Italian Group of Fracture Conference, 1-3 March 2017, Urbino, Italy Torsion problems of finite cylinders weaken d by ring-shaped cracks Nataly Vaysfeld*, Yuriy Protcerov Odesa Mechnikov University, Dvoryans’ka str.2, Odesa, Ukraine Abstract A finite elastic hollow and solid cylinders are considered. The bottom faces of the cylinders are fixed, the upper faces are free from stress. The tangent axisymmetric loading is applied along their cylindrical surfaces. This leads to the torsion axisymmetric deformation. A sys em of N ring – shaped cracks is s ated inside the ylinders parallel to the cylinder’ axis. It is supposed that the branches of the cracks are free from stress. It is necessary to construct the formulas for the stress intensity factor calculation and investigate the stress state of a solid. The initial boundary value problem is reduced with Fourier transformation to a system of integral singular equations with regard to the jumps of the displacements at the cracks’ branches. The singularity of the equations kernels is extracted. The system of singular integral equations is solved with the orthogonal polynomial method. The solution of the system is searched as the series by Chebyshev polynomials with the weight function. The realisation of orthogonal polynomial method leads to an infinite system of linear algebraic equations with regard to the unknown coefficients of the series. The formulas for the stresses and displacements of an elastic finite cylinder are presented. The numerical realisation of the proposed method is demonstrated in cases with two and three cracks ; the stress state is investigated dependingon the cracks' locations and sizes. © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of IGF Ex-Co. Keywords: Finite cylinder; ring –shaped crack; orthogonal polynomials method; stress intensity factor 1. Introduction Elastic cylinders of finite length (both solid and hollow) are often used as components of machines and in building construction. The influence of a crack may impair the correct function and even to total destruction of such components and result in failure of the machine or construction. It is necessary to establish a corresponding XXIV Italian Group of Fracture Conference, 1-3 March 2017, Urbino, Italy Torsion problems of finite cylinders weakened by ring-shaped cracks Nataly Vaysfeld*, Yuriy Protcerov Odesa Mechnikov University, Dvoryans’ka str.2, Odesa, Ukraine Abstract A finite elastic hollow and solid cyli ders are considered. The bottom faces of the cylinders are fixed, the upper faces are free from stress. The tangent axi ymmetr c loading is applied along their cylindrical surfaces. This l ads to the torsion axisymmetric deformation. A system of N ring – shaped crack is situated i side the cylinders pa allel to t e cylinder’s axis. It is supposed that the branches of the cracks are free from stress. It is necessary t construct th formulas f r the stress intensity factor calcula ion and investigate t st ess stat of a s lid. The initial bound value problem is red ced with Fourier transformation to a sys em of integral singular equations with regard to the jumps of the displacement at the cracks’ branches. The singularity of the equations ker els is xtr cted. The system of singular integral quations is solved with the orthogonal polynomial method. T soluti n of the system is searched as the series by Chebyshev polynomials with the eight functi n. The realisation of orthogonal p lyn mial method leads to an infini e system of linear alg braic equations with r gard to the unk own coefficients of the series. The f rmulas for th stresses and displac ents of an elastic finite cylinder are presented. The numerical realisation of the proposed method is demon trated in cases with two a d three cracks ; the stress state is investigated dependingon the cracks' locations and sizes. © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of IGF Ex-Co. Keywords: Finite cylinder; ring –shaped crack; orthogonal polynomials method; stress intensity factor 1. Introduction Elastic cyli rs of finite length (both solid and hollow) are often used as components of machines and in building onstruction. The nflu ce of a crack may impair the correct function nd even to total destruction of such components and result in failure of the machine or construction. It is necessary to es ablish a corresp nding © 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.: (380 48) 723-49-60. E-mail address: vaysfeld@onu.edu.ua * Corresponding author. Tel.: (380 48) 723-49-60. E-mail address: vaysfeld@onu.edu.ua

* Corresponding author. Tel.: +351 218419991. E-mail address: amd@tecnico.ulisboa.pt 2452-3216 © 2017 The Authors. Published by Elsevier B.V. Peer-review und r responsibility of the Scientific Committee of IGF Ex-Co. 2452-3216 © 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of IGF Ex-Co.

2452-3216 © 2016 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the Scientific Committee of PCF 2016. Copyright © 2017 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 IGF Ex-Co. 10.1016/j.prostr.2017.04.046